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Mediana - Wikipedia, entziklopedia askea.

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rootpage-Mediana skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Edukira joan</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="Gunea"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="Menu nagusia" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-menu mw-ui-icon-wikimedia-menu"></span> <span class="vector-dropdown-label-text">Menu nagusia</span> </label> <div class="vector-dropdown-content"> <div id="vector-main-menu-unpinned-container" class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">Menu nagusia</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">mugitu alboko barrara</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">ezkutatu</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Nabigazioa </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage" class="mw-list-item"><a href="/wiki/Azala" title="Azala bisitatu [z]" accesskey="z"><span>Azala</span></a></li><li id="n-Txikipedia" class="mw-list-item"><a href="/wiki/Txikipedia:Azala"><span>Txikipedia</span></a></li><li id="n-Ikusgela" class="mw-list-item"><a href="/wiki/Atari:Hezkuntza/Ikusgela"><span>Ikusgela</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedia:Txokoa" title="Proiektuaren inguruan, zer egin dezakezu, non aurkitu nahi duzuna"><span>Txokoa</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Berezi:AzkenAldaketak" title="Wikiko azken aldaketen zerrenda. [r]" accesskey="r"><span>Aldaketa berriak</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Berezi:Ausazkoa" title="Ausazko orrialde bat kargatu [x]" accesskey="x"><span>Ausazko orria</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/Laguntza:Sarrera" title="Aurkitzeko lekua."><span>Laguntza</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Azala" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Wikipedia" src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" style="width: 7.5em; height: 1.125em;"> <img class="mw-logo-tagline" alt="Entziklopedia askea" src="/static/images/mobile/copyright/wikipedia-tagline-eu.svg" width="120" height="13" style="width: 7.5em; height: 0.8125em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/Berezi:Bilatu" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Wikipedia(e)n bilatu [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Bilatu</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="Wikipedia wikian bilatu" aria-label="Wikipedia wikian bilatu" autocapitalize="sentences" title="Wikipedia(e)n bilatu [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Berezi:Bilatu"> </div> <button class="cdx-button cdx-search-input__end-button">Bilatu</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Tresna pertsonalak"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Itxura"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page&#039;s font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Itxura" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Itxura</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&amp;utm_medium=sidebar&amp;utm_campaign=C13_eu.wikipedia.org&amp;uselang=eu" class=""><span>Dohaintza egin</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Berezi:KontuaSortu&amp;returnto=Mediana" title="Kontu bat sortu eta horrekin saioa hastea eskatu nahi genizuke; ez da ezinbestekoa, ordea." class=""><span>Sortu kontua</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Berezi:SaioaHasi&amp;returnto=Mediana" title="Izen ematera gonbidatzen zaitugu. [o]" accesskey="o" class=""><span>Hasi saioa</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Aukera gehiago" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Tresna pertsonalak" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Tresna pertsonalak</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="User menu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&amp;utm_medium=sidebar&amp;utm_campaign=C13_eu.wikipedia.org&amp;uselang=eu"><span>Dohaintza egin</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Berezi:KontuaSortu&amp;returnto=Mediana" title="Kontu bat sortu eta horrekin saioa hastea eskatu nahi genizuke; ez da ezinbestekoa, ordea."><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Sortu kontua</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Berezi:SaioaHasi&amp;returnto=Mediana" title="Izen ematera gonbidatzen zaitugu. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Hasi saioa</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Izena eman gabeko erabiltzaileentzako orrialdeak <a href="/wiki/Laguntza:Sarrera" aria-label="Artikuluak aldatzeari buruz gehiago ikasi"><span>gehiago ikasi</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Berezi:NireEkarpenak" title="IP helbide honetatik egindako aldaketen zerrenda [y]" accesskey="y"><span>Ekarpenak</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Berezi:NireEztabaida" title="Zure IParen eztabaida [n]" accesskey="n"><span>Eztabaida</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><!-- CentralNotice --></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Gunea"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Edukiak" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Edukiak</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">mugitu alboko barrara</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">ezkutatu</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">⇑ Gora</div> </a> </li> <li id="toc-Definizio_formala" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Definizio_formala"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Definizio formala</span> </div> </a> <ul id="toc-Definizio_formala-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kalkulua_lagin_baterako" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kalkulua_lagin_baterako"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Kalkulua lagin baterako</span> </div> </a> <button aria-controls="toc-Kalkulua_lagin_baterako-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Erakutsi/ezkutatu Kalkulua lagin baterako azpiatal</span> </button> <ul id="toc-Kalkulua_lagin_baterako-sublist" class="vector-toc-list"> <li id="toc-Kalkulua_tartetan_bildutako_datuetarako" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Kalkulua_tartetan_bildutako_datuetarako"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Kalkulua tartetan bildutako datuetarako</span> </div> </a> <ul id="toc-Kalkulua_tartetan_bildutako_datuetarako-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Mediana_probabilitate_banakuntzetan" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Mediana_probabilitate_banakuntzetan"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Mediana probabilitate banakuntzetan</span> </div> </a> <ul id="toc-Mediana_probabilitate_banakuntzetan-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Propietateak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Propietateak"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Propietateak</span> </div> </a> <ul id="toc-Propietateak-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ariketak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ariketak"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span><figcaption></figcaption><!--MW-PAGEIMAGES-CANDIDATE-5--><p> Ariketak</p></span> </div> </a> <ul id="toc-Ariketak-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Erreferentziak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Erreferentziak"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Erreferentziak</span> </div> </a> <ul id="toc-Erreferentziak-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kanpo_estekak" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kanpo_estekak"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Kanpo estekak</span> </div> </a> <ul id="toc-Kanpo_estekak-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Edukiak" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Eduki taularen ikusgarritasuna aldatu" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Eduki taularen ikusgarritasuna aldatu</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Mediana</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Joan beste hizkuntza batean idatzitako artikulu batera. 67 hizkuntzatan eskuragarri." > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-67" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">67 hizkuntza</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Mediaan" title="Mediaan – afrikaansa" lang="af" hreflang="af" data-title="Mediaan" data-language-autonym="Afrikaans" data-language-local-name="afrikaansa" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%88%D8%B3%D9%8A%D8%B7_(%D8%A5%D8%AD%D8%B5%D8%A7%D8%A1)" title="وسيط (إحصاء) – arabiera" lang="ar" hreflang="ar" data-title="وسيط (إحصاء)" data-language-autonym="العربية" data-language-local-name="arabiera" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Mediana_(statistika)" title="Mediana (statistika) – azerbaijanera" lang="az" hreflang="az" data-title="Mediana (statistika)" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaijanera" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9C%D0%B5%D0%B4%D1%8B%D1%8F%D0%BD%D0%B0_(%D1%81%D1%82%D0%B0%D1%82%D1%8B%D1%81%D1%82%D1%8B%D0%BA%D0%B0)" title="Медыяна (статыстыка) – bielorrusiera" lang="be" hreflang="be" data-title="Медыяна (статыстыка)" data-language-autonym="Беларуская" data-language-local-name="bielorrusiera" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9C%D0%B5%D0%B4%D0%B8%D0%B0%D0%BD%D0%B0_(%D1%81%D1%82%D0%B0%D1%82%D0%B8%D1%81%D1%82%D0%B8%D0%BA%D0%B0)" title="Медиана (статистика) – bulgariera" lang="bg" hreflang="bg" data-title="Медиана (статистика)" data-language-autonym="Български" data-language-local-name="bulgariera" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AE%E0%A6%A7%E0%A7%8D%E0%A6%AF%E0%A6%95" title="মধ্যক – bengalera" lang="bn" hreflang="bn" data-title="মধ্যক" data-language-autonym="বাংলা" data-language-local-name="bengalera" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Medijana_(statistika)" title="Medijana (statistika) – bosniera" lang="bs" hreflang="bs" data-title="Medijana (statistika)" data-language-autonym="Bosanski" data-language-local-name="bosniera" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Mediana" title="Mediana – katalana" lang="ca" hreflang="ca" data-title="Mediana" data-language-autonym="Català" data-language-local-name="katalana" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%86%D8%A7%D9%88%DB%95%DA%95%D8%A7%D8%B3%D8%AA%DB%95_(%D8%A6%D8%A7%D9%85%D8%A7%D8%B1)" title="ناوەڕاستە (ئامار) – erdialdeko kurduera" lang="ckb" hreflang="ckb" data-title="ناوەڕاستە (ئامار)" data-language-autonym="کوردی" data-language-local-name="erdialdeko kurduera" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Medi%C3%A1n" title="Medián – txekiera" lang="cs" hreflang="cs" data-title="Medián" data-language-autonym="Čeština" data-language-local-name="txekiera" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Canolrif" title="Canolrif – galesa" lang="cy" hreflang="cy" data-title="Canolrif" data-language-autonym="Cymraeg" data-language-local-name="galesa" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Median" title="Median – daniera" lang="da" hreflang="da" data-title="Median" data-language-autonym="Dansk" data-language-local-name="daniera" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Median" title="Median – alemana" lang="de" hreflang="de" data-title="Median" data-language-autonym="Deutsch" data-language-local-name="alemana" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%94%CE%B9%CE%AC%CE%BC%CE%B5%CF%83%CE%BF%CF%82" title="Διάμεσος – greziera" lang="el" hreflang="el" data-title="Διάμεσος" data-language-autonym="Ελληνικά" data-language-local-name="greziera" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Median" title="Median – ingelesa" lang="en" hreflang="en" data-title="Median" data-language-autonym="English" data-language-local-name="ingelesa" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Mediano_(statistiko)" title="Mediano (statistiko) – esperantoa" lang="eo" hreflang="eo" data-title="Mediano (statistiko)" data-language-autonym="Esperanto" data-language-local-name="esperantoa" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Mediana_(estad%C3%ADstica)" title="Mediana (estadística) – gaztelania" lang="es" hreflang="es" data-title="Mediana (estadística)" data-language-autonym="Español" data-language-local-name="gaztelania" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Mediaan" title="Mediaan – estoniera" lang="et" hreflang="et" data-title="Mediaan" data-language-autonym="Eesti" data-language-local-name="estoniera" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%85%DB%8C%D8%A7%D9%86%D9%87_(%D8%A2%D9%85%D8%A7%D8%B1)" title="میانه (آمار) – persiera" lang="fa" hreflang="fa" data-title="میانه (آمار)" data-language-autonym="فارسی" data-language-local-name="persiera" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Mediaani" title="Mediaani – finlandiera" lang="fi" hreflang="fi" data-title="Mediaani" data-language-autonym="Suomi" data-language-local-name="finlandiera" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/M%C3%A9diane_(statistiques)" title="Médiane (statistiques) – frantsesa" lang="fr" hreflang="fr" data-title="Médiane (statistiques)" data-language-autonym="Français" data-language-local-name="frantsesa" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Mediana_(c%C3%A1lculo)" title="Mediana (cálculo) – galiziera" lang="gl" hreflang="gl" data-title="Mediana (cálculo)" data-language-autonym="Galego" data-language-local-name="galiziera" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%97%D7%A6%D7%99%D7%95%D7%9F" title="חציון – hebreera" lang="he" hreflang="he" data-title="חציון" data-language-autonym="עברית" data-language-local-name="hebreera" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%AE%E0%A4%BE%E0%A4%A7%E0%A5%8D%E0%A4%AF%E0%A4%BF%E0%A4%95%E0%A4%BE" title="माध्यिका – hindia" lang="hi" hreflang="hi" data-title="माध्यिका" data-language-autonym="हिन्दी" data-language-local-name="hindia" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Medijan" title="Medijan – kroaziera" lang="hr" hreflang="hr" data-title="Medijan" data-language-autonym="Hrvatski" data-language-local-name="kroaziera" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Medi%C3%A1n" title="Medián – hungariera" lang="hu" hreflang="hu" data-title="Medián" data-language-autonym="Magyar" data-language-local-name="hungariera" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%84%D5%AB%D5%BB%D5%B6%D5%A1%D6%80%D5%AA%D5%A5%D6%84" title="Միջնարժեք – armeniera" lang="hy" hreflang="hy" data-title="Միջնարժեք" data-language-autonym="Հայերեն" data-language-local-name="armeniera" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Median" title="Median – indonesiera" lang="id" hreflang="id" data-title="Median" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiera" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Mediano" title="Mediano – idoa" lang="io" hreflang="io" data-title="Mediano" data-language-autonym="Ido" data-language-local-name="idoa" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Mi%C3%B0gildi" title="Miðgildi – islandiera" lang="is" hreflang="is" data-title="Miðgildi" data-language-autonym="Íslenska" data-language-local-name="islandiera" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Mediana_(statistica)" title="Mediana (statistica) – italiera" lang="it" hreflang="it" data-title="Mediana (statistica)" data-language-autonym="Italiano" data-language-local-name="italiera" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E4%B8%AD%E5%A4%AE%E5%80%A4" title="中央値 – japoniera" lang="ja" hreflang="ja" data-title="中央値" data-language-autonym="日本語" data-language-local-name="japoniera" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%A4%91%EC%95%99%EA%B0%92" title="중앙값 – koreera" lang="ko" hreflang="ko" data-title="중앙값" data-language-autonym="한국어" data-language-local-name="koreera" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Mediana" title="Mediana – lituaniera" lang="lt" hreflang="lt" data-title="Mediana" data-language-autonym="Lietuvių" data-language-local-name="lituaniera" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Medi%C4%81na_(statistika)" title="Mediāna (statistika) – letoniera" lang="lv" hreflang="lv" data-title="Mediāna (statistika)" data-language-autonym="Latviešu" data-language-local-name="letoniera" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9C%D0%B5%D0%B4%D0%B8%D1%98%D0%B0%D0%BD%D0%B0" title="Медијана – mazedoniera" lang="mk" hreflang="mk" data-title="Медијана" data-language-autonym="Македонски" data-language-local-name="mazedoniera" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Median" title="Median – malaysiera" lang="ms" hreflang="ms" data-title="Median" data-language-autonym="Bahasa Melayu" data-language-local-name="malaysiera" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Mediaan_(statistiek)" title="Mediaan (statistiek) – nederlandera" lang="nl" hreflang="nl" data-title="Mediaan (statistiek)" data-language-autonym="Nederlands" data-language-local-name="nederlandera" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Median" title="Median – nynorsk (norvegiera)" lang="nn" hreflang="nn" data-title="Median" data-language-autonym="Norsk nynorsk" data-language-local-name="nynorsk (norvegiera)" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Median" title="Median – bokmål (norvegiera)" lang="nb" hreflang="nb" data-title="Median" data-language-autonym="Norsk bokmål" data-language-local-name="bokmål (norvegiera)" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Mediana" title="Mediana – poloniera" lang="pl" hreflang="pl" data-title="Mediana" data-language-autonym="Polski" data-language-local-name="poloniera" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt badge-Q17437796 badge-featuredarticle mw-list-item" title="artikulu nabarmenduak"><a href="https://pt.wikipedia.org/wiki/Mediana_(estat%C3%ADstica)" title="Mediana (estatística) – portugesa" lang="pt" hreflang="pt" data-title="Mediana (estatística)" data-language-autonym="Português" data-language-local-name="portugesa" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Median%C4%83_(statistic%C4%83)" title="Mediană (statistică) – errumaniera" lang="ro" hreflang="ro" data-title="Mediană (statistică)" data-language-autonym="Română" data-language-local-name="errumaniera" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9C%D0%B5%D0%B4%D0%B8%D0%B0%D0%BD%D0%B0_(%D1%81%D1%82%D0%B0%D1%82%D0%B8%D1%81%D1%82%D0%B8%D0%BA%D0%B0)" title="Медиана (статистика) – errusiera" lang="ru" hreflang="ru" data-title="Медиана (статистика)" data-language-autonym="Русский" data-language-local-name="errusiera" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Mediana" title="Mediana – siziliera" lang="scn" hreflang="scn" data-title="Mediana" data-language-autonym="Sicilianu" data-language-local-name="siziliera" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%D9%88%DA%86%D9%88%D9%86_%D8%B9%D8%AF%D8%AF" title="وچون عدد – sindhia" lang="sd" hreflang="sd" data-title="وچون عدد" data-language-autonym="سنڌي" data-language-local-name="sindhia" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Medijan" title="Medijan – serbokroaziera" lang="sh" hreflang="sh" data-title="Medijan" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbokroaziera" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%B8%E0%B6%B0%E0%B7%8A%E2%80%8D%E0%B6%BA%E0%B7%83%E0%B7%8A%E0%B6%AE%E0%B6%BA" title="මධ්‍යස්ථය – sinhala" lang="si" hreflang="si" data-title="මධ්‍යස්ථය" data-language-autonym="සිංහල" data-language-local-name="sinhala" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Median" title="Median – Simple English" lang="en-simple" hreflang="en-simple" data-title="Median" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Medi%C3%A1n" title="Medián – eslovakiera" lang="sk" hreflang="sk" data-title="Medián" data-language-autonym="Slovenčina" data-language-local-name="eslovakiera" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Mediana" title="Mediana – esloveniera" lang="sl" hreflang="sl" data-title="Mediana" data-language-autonym="Slovenščina" data-language-local-name="esloveniera" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Chipakati" title="Chipakati – shonera" lang="sn" hreflang="sn" data-title="Chipakati" data-language-autonym="ChiShona" data-language-local-name="shonera" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Mediana_(statistik%C3%AB)" title="Mediana (statistikë) – albaniera" lang="sq" hreflang="sq" data-title="Mediana (statistikë)" data-language-autonym="Shqip" data-language-local-name="albaniera" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9C%D0%B5%D0%B4%D0%B8%D1%98%D0%B0%D0%BD%D0%B0_(%D1%81%D1%82%D0%B0%D1%82%D0%B8%D1%81%D1%82%D0%B8%D0%BA%D0%B0)" title="Медијана (статистика) – serbiera" lang="sr" hreflang="sr" data-title="Медијана (статистика)" data-language-autonym="Српски / srpski" data-language-local-name="serbiera" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Median" title="Median – sundanera" lang="su" hreflang="su" data-title="Median" data-language-autonym="Sunda" data-language-local-name="sundanera" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Median" title="Median – suediera" lang="sv" hreflang="sv" data-title="Median" data-language-autonym="Svenska" data-language-local-name="suediera" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Kati_(Takwimu)" title="Kati (Takwimu) – swahilia" lang="sw" hreflang="sw" data-title="Kati (Takwimu)" data-language-autonym="Kiswahili" data-language-local-name="swahilia" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%87%E0%AE%9F%E0%AF%88%E0%AE%A8%E0%AE%BF%E0%AE%B2%E0%AF%88%E0%AE%AF%E0%AE%B3%E0%AE%B5%E0%AF%81" title="இடைநிலையளவு – tamilera" lang="ta" hreflang="ta" data-title="இடைநிலையளவு" data-language-autonym="தமிழ்" data-language-local-name="tamilera" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%9C%D0%B5%D0%B4%D0%B8%D0%B0%D0%BD%D0%B0" title="Медиана – tajikera" lang="tg" hreflang="tg" data-title="Медиана" data-language-autonym="Тоҷикӣ" data-language-local-name="tajikera" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%A1%E0%B8%B1%E0%B8%98%E0%B8%A2%E0%B8%90%E0%B8%B2%E0%B8%99" title="มัธยฐาน – thailandiera" lang="th" hreflang="th" data-title="มัธยฐาน" data-language-autonym="ไทย" data-language-local-name="thailandiera" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Medyan" title="Medyan – turkiera" lang="tr" hreflang="tr" data-title="Medyan" data-language-autonym="Türkçe" data-language-local-name="turkiera" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9C%D0%B5%D0%B4%D1%96%D0%B0%D0%BD%D0%B0_(%D1%81%D1%82%D0%B0%D1%82%D0%B8%D1%81%D1%82%D0%B8%D0%BA%D0%B0)" title="Медіана (статистика) – ukrainera" lang="uk" hreflang="uk" data-title="Медіана (статистика)" data-language-autonym="Українська" data-language-local-name="ukrainera" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Mediana_(statistika)" title="Mediana (statistika) – uzbekera" lang="uz" hreflang="uz" data-title="Mediana (statistika)" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbekera" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/S%E1%BB%91_trung_v%E1%BB%8B" title="Số trung vị – vietnamera" lang="vi" hreflang="vi" data-title="Số trung vị" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamera" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E4%B8%AD%E4%BD%8D%E6%95%B0" title="中位数 – wu txinera" lang="wuu" hreflang="wuu" data-title="中位数" data-language-autonym="吴语" data-language-local-name="wu txinera" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E4%B8%AD%E4%BD%8D%E6%95%B8" title="中位數 – txinera" lang="zh" hreflang="zh" data-title="中位數" data-language-autonym="中文" data-language-local-name="txinera" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E4%B8%AD%E4%BD%8D%E6%95%B8" title="中位數 – kantonera" lang="yue" hreflang="yue" data-title="中位數" data-language-autonym="粵語" data-language-local-name="kantonera" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q226995#sitelinks-wikipedia" title="Aldatu hizkuntzen arteko loturak" class="wbc-editpage">Aldatu loturak</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Izen-tarteak"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Mediana" title="Eduki orrialdea ikusi [c]" accesskey="c"><span>Artikulua</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Eztabaida:Mediana&amp;action=edit&amp;redlink=1" rel="discussion" class="new" title="Artikuluari buruzko eztabaida (sortu gabe) [t]" accesskey="t"><span>Eztabaida</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Aldatu hizkuntza aldaera" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button 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[h]" accesskey="h"><span>Ikusi historia</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Tresnak" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Tresnak</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Tresnak</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">mugitu alboko barrara</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">ezkutatu</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="More options" > <div class="vector-menu-heading"> Ekintzak </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected 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href="/wiki/Berezi:ZerkLotzenDuHona/Mediana" title="Orri honetaranzko esteka duten wiki orri guztien zerrenda [j]" accesskey="j"><span>Honanzko esteka duten orriak</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Berezi:RecentChangesLinked/Mediana" rel="nofollow" title="Orri honetatik esteka duten orrietako azken aldaketak [k]" accesskey="k"><span>Lotutako orrietako aldaketak</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=eu" title="Irudiak edo media fitxategiak igo [u]" accesskey="u"><span>Fitxategia igo</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Berezi:OrrialdeBereziak" title="Orri berezi guztien zerrenda [q]" accesskey="q"><span>Orri bereziak</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Mediana&amp;oldid=9097759" title="Orriaren bertsio honetaranzko esteka iraunkorra"><span>Lotura iraunkorra</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Mediana&amp;action=info" title="Orrialde honi buruzko informazio gehiago"><span>Orri honen datuak</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Berezi:CiteThisPage&amp;page=Mediana&amp;id=9097759&amp;wpFormIdentifier=titleform" title="Orri honen aipua egiteko moduari buruzko informazioa"><span>Artikulu hau aipatu</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Berezi:UrlShortener&amp;url=https%3A%2F%2Feu.wikipedia.org%2Fwiki%2FMediana"><span>URL laburra lortu</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Berezi:QrCode&amp;url=https%3A%2F%2Feu.wikipedia.org%2Fwiki%2FMediana"><span>QR kodea jaitsi</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Inprimatu/esportatu </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Berezi:Book&amp;bookcmd=book_creator&amp;referer=Mediana"><span>Liburu bat sortu</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Berezi:DownloadAsPdf&amp;page=Mediana&amp;action=show-download-screen"><span>Deskargatu PDF formatuan</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Mediana&amp;printable=yes" title="Orrialde honen bertsio inprimagarria [p]" accesskey="p"><span>Inprimatzeko bertsioa</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> Beste proiektuetan </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Median" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q226995" title="Datuen biltegi elementu batera lotuta [g]" accesskey="g"><span>Wikidata itema</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Itxura"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header 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mw-parser-output" lang="eu" dir="ltr"><p class="mw-empty-elt"> </p> <figure typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Mediana_wiki_Uria.png" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Mediana_wiki_Uria.png/250px-Mediana_wiki_Uria.png" decoding="async" width="250" height="125" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Mediana_wiki_Uria.png/375px-Mediana_wiki_Uria.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Mediana_wiki_Uria.png/500px-Mediana_wiki_Uria.png 2x" data-file-width="774" data-file-height="386" /></a><figcaption>Hainbat zenbakiren <a class="mw-selflink selflink">mediana</a> kalkulatzeko bi adibide (bideokoak).</figcaption></figure><figure class="mw-default-size" typeof="mw:File/Thumb"><span><video id="mwe_player_1" poster="//upload.wikimedia.org/wikipedia/commons/thumb/a/a7/-bertsomate-_Mediana.webm/220px---bertsomate-_Mediana.webm.jpg" controls="" preload="none" data-mw-tmh="" class="mw-file-element" width="220" height="124" data-durationhint="49" data-mwtitle="-bertsomate-_Mediana.webm" data-mwprovider="wikimediacommons" resource="/wiki/Fitxategi:-bertsomate-_Mediana.webm"><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/a/a7/-bertsomate-_Mediana.webm/-bertsomate-_Mediana.webm.480p.vp9.webm" type="video/webm; codecs=&quot;vp9, opus&quot;" data-transcodekey="480p.vp9.webm" data-width="854" data-height="480" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/a/a7/-bertsomate-_Mediana.webm/-bertsomate-_Mediana.webm.720p.vp9.webm" type="video/webm; codecs=&quot;vp9, opus&quot;" data-transcodekey="720p.vp9.webm" data-width="1280" data-height="720" /><source src="//upload.wikimedia.org/wikipedia/commons/a/a7/-bertsomate-_Mediana.webm" type="video/webm; codecs=&quot;vp8, vorbis&quot;" data-width="1280" data-height="720" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/a/a7/-bertsomate-_Mediana.webm/-bertsomate-_Mediana.webm.144p.mjpeg.mov" type="video/quicktime" data-transcodekey="144p.mjpeg.mov" data-width="256" data-height="144" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/a/a7/-bertsomate-_Mediana.webm/-bertsomate-_Mediana.webm.240p.vp9.webm" type="video/webm; codecs=&quot;vp9, opus&quot;" data-transcodekey="240p.vp9.webm" data-width="426" data-height="240" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/a/a7/-bertsomate-_Mediana.webm/-bertsomate-_Mediana.webm.360p.vp9.webm" type="video/webm; codecs=&quot;vp9, opus&quot;" data-transcodekey="360p.vp9.webm" data-width="640" data-height="360" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/a/a7/-bertsomate-_Mediana.webm/-bertsomate-_Mediana.webm.360p.webm" type="video/webm; codecs=&quot;vp8, vorbis&quot;" data-transcodekey="360p.webm" data-width="640" data-height="360" /></video></span><figcaption><div class="poem"> <p>Datu ordenatuen<br /> multzo konpletoa<br /> kopuru bakoitia<br /> bada aztertzekoa<br /> mediana da erdian<br /> den zenbatekoa<br /> Ta bikoitia bada<br /> erabatekoa<br /> Erdian dauden bien<br /> bataz-bestekoa </p> </div>(<a href="/wiki/Jone_Uria" title="Jone Uria">Jone Uria</a>)</figcaption></figure> <p><a href="/wiki/Estatistika" title="Estatistika">Estatistikan</a>, <b>mediana</b> hainbat datu txikienetik handienera ordenaturik daudela, erdian dagoen datua da<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup>. Beraz, medianak alde banatara datuen&#160;% 50 uzten ditu.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> <a href="/wiki/Probabilitate_banaketa" class="mw-redirect" title="Probabilitate banaketa">Probabilitate banaketa</a> baterako ere kalkula daiteke eta orduan alde banatara eta orduan azpitik eta gainetik 0,5eko probabilitatea uzten duen balioa da. </p><p>Mediana <a href="/wiki/Zentro-joera_(estatistika)" title="Zentro-joera (estatistika)">zentro-neurri</a> bat da, <a href="/wiki/Batezbesteko_aritmetiko_sinple" title="Batezbesteko aritmetiko sinple">batezbesteko aritmetiko sinplea</a> bezala esaterako, eta neurri adierazgarriagoa da <a href="/wiki/Muturreko_datu" title="Muturreko datu">muturreko datuak</a> daudenean. Adibidez, gela bateko 10 objektuen <a href="/wiki/Tenperatura" title="Tenperatura">tenperaturak</a> jaso eta horietan labea 175&#160;°C gradutan bada, nahiz eta beste guztiak 20&#160;°C-25&#160;°C artekoak izan, <a href="/wiki/Batezbesteko" title="Batezbesteko">batez besteko</a> tenperatura 35.5&#160;°C-40&#160;°C tartean izango da, baina mediana 20&#160;°C-25&#160;°C artekoa izango da, eta hori gelako egoera zein den deskribatzeko balio egokiagoa da. Horrelako egoeretan <a class="mw-selflink selflink">mediana</a> egokiagoa izaten da balio orokor edo <a href="/wiki/Zentro-joera_(estatistika)" title="Zentro-joera (estatistika)">zentro neurri</a> bat emateko. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Definizio_formala">Definizio formala</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mediana&amp;veaction=edit&amp;section=1" title="Aldatu atal hau: «Definizio formala»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mediana&amp;action=edit&amp;section=1" title="Edit section&#039;s source code: Definizio formala"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Formalki, populazio baten mediana da biztanleriaren erdia, gutxienez, proposatutako mediana baino txikiagoa edo berdina den eta, gutxienez, erdia proposatutako mediana baino handiagoa edo berdina den edozein balio. Medianak baliteke bakarrak ez izatea. Multzo bakoitzak biztanleriaren erdia baino gutxiago badu, orduan, populazioren partea mediana bakarraren berdina da. </p><p>Mediana ondo definituta dago edozein datu ordenatuetarako (dimentsio bakarreko), eta edozein distantzia-metrikotik independentea da. Mediana, beraz, sailkatuta dauden baina zenbakizkoak ez diren klaseei aplika dakieke (adibidez, ikasleak A-tik F-ra sailkatzen direnean batez besteko nota bat landuz), nahiz eta emaitza klaseen arteko erdibidean egon daitekeen kasu kopuru bikoitia baldin badago. </p><p>Mediana geometrikoa, berriz, edozein dimentsiotan definitzen da. Erlazionatutako kontzeptu bat, non emaitza laginaren kide batekin bat etorri dadin behartzen den, medoidea da. </p><p>Ez dago medianarako erabateko notazio estandar bat onarturik, baina egile batzuek x aldagai baten mediana x͂ edo μ1/2 gisa adierazten dute<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup>, baita, batzuetan, M ere<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup>.. Kasu horietako edozeinetan, medianarako ikur hauen edo besteren erabilera esplizituki zehaztu behar da horiek sartzen direnean. </p><p>Mediana banaketa estatistiko bati lotutako balio tipikoak laburtzeko beste modu batzuen kasu berezia da: 2. <a href="/wiki/Kuartil" title="Kuartil">kuartila</a>, 5. <a href="/wiki/Dezil" title="Dezil">dezila</a> eta 50. <a href="/wiki/Pertzentil" title="Pertzentil">pertzentila</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Kalkulua_lagin_baterako">Kalkulua lagin baterako</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mediana&amp;veaction=edit&amp;section=2" title="Aldatu atal hau: «Kalkulua lagin baterako»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mediana&amp;action=edit&amp;section=2" title="Edit section&#039;s source code: Kalkulua lagin baterako"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Lagin" class="mw-disambig" title="Lagin">Lagin</a> baterako, datu kuantitatiboak txikienetik handienera ordenatuta daudela, erdian kokatzen den datua da mediana. Horrela, kalkulua ezberdina da <i>n</i> datu kopurua <a href="/wiki/Zenbaki_bakoiti" title="Zenbaki bakoiti">zenbaki bakoitia</a> edo <a href="/wiki/Zenbaki_bikoiti" title="Zenbaki bikoiti">zenbaki bikoitia</a> den. </p><p>Lagin-tamaina edo datu-kopurua bakoitia bada, datuak ordenaturik daudela, mediana erdiko datuak hartzen duen balioa da. Adibidez, ordenatuta dauden 15 datu hauetarako mediana 8. posiziokoa da,<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> </p> <pre>&#160;2, 3, 4, 4, 6, 7, 7, 7, 8, 8, 8, 8, 9, 14, 17 </pre> <dl><dd><dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Me=7\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> <mi>e</mi> <mo>=</mo> <mn>7</mn> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Me=7\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0ac39213f1960f76798bec7655bbd0bb35522c3c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:8.174ex; height:2.176ex;" alt="{\displaystyle Me=7\,}"></span></dd></dl></dd></dl></dd></dl> <p>Datu-kopurua bikoitia bada, datuak ordenaturik daudela, erdiko datu bi dagoenez, mediana erdiko bi datu horien <a href="/wiki/Batezbesteko_aritmetiko_sinple" title="Batezbesteko aritmetiko sinple">batezbestekoa</a> dela esan daiteke. Adibidez, lehengo zenbakien artean bat kentzen badugu ordenatuta dauden 14 datu hauetarako mediana 7. eta 8. posizioan dauden zenbakien batezbestekoa da: </p> <pre>2, 3, 4, 4, 6, 7, 7, 8, 8, 8, 8, 9, 14, 17 </pre> <dl><dd><dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Me={\frac {7+8}{2}}=7,5}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> <mi>e</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>7</mn> <mo>+</mo> <mn>8</mn> </mrow> <mn>2</mn> </mfrac> </mrow> <mo>=</mo> <mn>7</mn> <mo>,</mo> <mn>5</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Me={\frac {7+8}{2}}=7,5}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/295aaa9f4eeceb5dbefaddf678c6efe29f309685" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:19.083ex; height:5.176ex;" alt="{\displaystyle Me={\frac {7+8}{2}}=7,5}"></span></dd></dl></dd></dl></dd></dl> <p><br /> Dena dela, badira bestelako modu batzuk mediana kalkulatzeko. </p> <div class="mw-heading mw-heading3"><h3 id="Kalkulua_tartetan_bildutako_datuetarako">Kalkulua tartetan bildutako datuetarako</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mediana&amp;veaction=edit&amp;section=3" title="Aldatu atal hau: «Kalkulua tartetan bildutako datuetarako»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mediana&amp;action=edit&amp;section=3" title="Edit section&#039;s source code: Kalkulua tartetan bildutako datuetarako"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Datuak tartean bildurik daudenean, mediana hurbilketaz kalkulatzen da<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup>, aurretik mediana kokatzen den tartea zehaztuz. Kalkulurako erabiltzen den <a href="/wiki/Formula_(argipena)" class="mw-disambig" title="Formula (argipena)">formula</a> hau da: </p> <dl><dd><dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Me=L_{i}+a_{i}{\frac {{\frac {n}{2}}-N_{i-1}}{n_{i}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> <mi>e</mi> <mo>=</mo> <msub> <mi>L</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>n</mi> <mn>2</mn> </mfrac> </mrow> <mo>&#x2212;<!-- − --></mo> <msub> <mi>N</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> </msub> </mrow> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Me=L_{i}+a_{i}{\frac {{\frac {n}{2}}-N_{i-1}}{n_{i}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3c140d9d5698ffd77166f2d24bbee9950f692a8a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:24.142ex; height:6.343ex;" alt="{\displaystyle Me=L_{i}+a_{i}{\frac {{\frac {n}{2}}-N_{i-1}}{n_{i}}}}"></span></dd></dl></dd></dl></dd></dl> <p>Adibidez, herri bateko biztanleen adinari buruzko datu hauek emanda, </p> <dl><dd><dl><dd><dl><dd><table class="taulapolita"> <tbody><tr> <th>Biztanleen adinak </th> <th>Biztanleak </th> <th>Maiztasun metatuak </th></tr> <tr> <td align="center">0-20 </td> <td align="center">9 </td> <td align="center">9 </td></tr> <tr> <td align="center">20-40 </td> <td align="center">18 </td> <td align="center">27 </td></tr> <tr> <td align="center">40-60 </td> <td align="center">26 </td> <td align="center">53 </td></tr> <tr> <td align="center">60-80 </td> <td align="center">7 </td> <td align="center">60 </td></tr> <tr> <td align="center">80-100 </td> <td align="center">4 </td> <td align="center">64 </td></tr></tbody></table></dd></dl></dd></dl></dd></dl> <p><a href="/wiki/Maiztasun_(estatistika)" title="Maiztasun (estatistika)">Maiztasun metatuak</a> kalkulatu ondoren, hirugarren zutabean, datu kopurua 64 dela ikusten da. Beraz, mediana 64/2=32garren datuaren balioa izango da. Maiztasun metatuen zutabeari erreparatuz, 32garren datua 40-60 tartean kokatzen da. Beraz, bertan izango da mediana: </p> <dl><dd><dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Me=40+20\times {\frac {32-27}{26}}=43.84\ urte}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> <mi>e</mi> <mo>=</mo> <mn>40</mn> <mo>+</mo> <mn>20</mn> <mo>&#x00D7;<!-- × --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>32</mn> <mo>&#x2212;<!-- − --></mo> <mn>27</mn> </mrow> <mn>26</mn> </mfrac> </mrow> <mo>=</mo> <mn>43.84</mn> <mtext>&#xA0;</mtext> <mi>u</mi> <mi>r</mi> <mi>t</mi> <mi>e</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Me=40+20\times {\frac {32-27}{26}}=43.84\ urte}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/424df9ceef9fe3bdc8b40028715ee6d88f0f9b3f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:38.558ex; height:5.176ex;" alt="{\displaystyle Me=40+20\times {\frac {32-27}{26}}=43.84\ urte}"></span></dd></dl></dd></dl></dd></dl> <p>Beraz, biztanleen erdiek 43.84 urte baino gutxiago dauzkate. Ohartarazi behar da, ordea, emaitza hau hurbilketa baten ondorioa dela eta emaitza zehatza izateko hobe dela jatorrizko datu zerrenda hartzea. </p> <figure class="mw-halign-center" typeof="mw:File/Thumb"><a href="/wiki/Fitxategi:Medianahist.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/cc/Medianahist.svg/500px-Medianahist.svg.png" decoding="async" width="500" height="333" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/cc/Medianahist.svg/750px-Medianahist.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/cc/Medianahist.svg/1000px-Medianahist.svg.png 2x" data-file-width="1125" data-file-height="750" /></a><figcaption><b>Medianaren kalkulua</b> datuak tartetan bilduta daudenean, <a href="/wiki/Interpolazio_lineal" title="Interpolazio lineal">interpolazio linealez</a> egiten da. Mediana kokaturik dagoen tartea 40-60 da. Medianatik behera (marra eten gorriz) 32 datu daude, datuen erdiak alegia. 40 urtetik behera 27 biztanle daude. 60 urtetik behera 53 biztanle daude. Bi puntuak lotuz, <i>OAB</i> eta <i>OCD</i> <a href="/wiki/Hiruki" class="mw-redirect" title="Hiruki">hirukiak</a> baliokideak dira eta, beraz, katetoen arteko erlazio berdina dute. <i>OAB</i> triangeluan, <i>OB=x</i> eta <i>AB=5</i>. <i>OCD</i> triangeluan <i>OD=20</i> eta <i>CD=26</i>. <a href="/wiki/Hiruko_erregela" title="Hiruko erregela">Hiruko erregela</a> sinple batez <i>x=3.82</i> eta beraz, mediana <i>40+x=43.82</i> dela ondorioztatzen da. </figcaption></figure> <div class="mw-heading mw-heading2"><h2 id="Mediana_probabilitate_banakuntzetan">Mediana probabilitate banakuntzetan</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mediana&amp;veaction=edit&amp;section=4" title="Aldatu atal hau: «Mediana probabilitate banakuntzetan»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mediana&amp;action=edit&amp;section=4" title="Edit section&#039;s source code: Mediana probabilitate banakuntzetan"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Probabilitate banakuntzetan, bere azpitik %50eko <a href="/wiki/Probabilitate" title="Probabilitate">probabilitatea</a> (eta ondorioz, bere gainetik ere %50eko probabilitatea) uzten duen balioa da. Beraz, banaketa jarraia bada hau betetzen duen <i>Me</i> balioa da mediana: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \operatorname {P} (X\leq Me)\geq {\frac {1}{2}}{\text{ eta }}\operatorname {P} (X\geq Me)\geq {\frac {1}{2}}\,\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">P</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mo stretchy="false">(</mo> <mi>X</mi> <mo>&#x2264;<!-- ≤ --></mo> <mi>M</mi> <mi>e</mi> <mo stretchy="false">)</mo> <mo>&#x2265;<!-- ≥ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>&#xA0;eta&#xA0;</mtext> </mrow> <mi mathvariant="normal">P</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mo stretchy="false">(</mo> <mi>X</mi> <mo>&#x2265;<!-- ≥ --></mo> <mi>M</mi> <mi>e</mi> <mo stretchy="false">)</mo> <mo>&#x2265;<!-- ≥ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \operatorname {P} (X\leq Me)\geq {\frac {1}{2}}{\text{ eta }}\operatorname {P} (X\geq Me)\geq {\frac {1}{2}}\,\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/361b90180d9a901a2c8a8f97b051c76fca12af1d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; margin-right: -0.387ex; width:39.222ex; height:5.176ex;" alt="{\displaystyle \operatorname {P} (X\leq Me)\geq {\frac {1}{2}}{\text{ eta }}\operatorname {P} (X\geq Me)\geq {\frac {1}{2}}\,\!}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Propietateak">Propietateak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mediana&amp;veaction=edit&amp;section=5" title="Aldatu atal hau: «Propietateak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mediana&amp;action=edit&amp;section=5" title="Edit section&#039;s source code: Propietateak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Abantaila gisa, <a href="/wiki/Zenbaki_oso" title="Zenbaki oso">balio osoko</a> aldagaietan, medianaren emaitza ere zenbaki osoa da. Adibidez, familiako haur kopuruaren <a href="/wiki/Batezbesteko_aritmetiko_sinple" title="Batezbesteko aritmetiko sinple">batezbesteko aritmetiko sinplea</a> 2.37 haur izan daitekeen bitartean, medianak beti balio oso bat emango du (1, 2, 3), interpretazioa erraztuz horrela. </p><p>Aldi berean, <a href="/wiki/Muturreko_datu" title="Muturreko datu">muturreko datuak</a> daudenean <a href="/wiki/Zentro-joera_(estatistika)" title="Zentro-joera (estatistika)">zentro neurri</a> egokiagoa da <a href="/wiki/Batezbesteko_aritmetiko_sinple" title="Batezbesteko aritmetiko sinple">batezbesteko aritmetiko sinplea</a> baino. Adibidez, { 1, 2, 2, 2, 3, 9 } datuetarako, mediana 2 da, zentroaren balio adierazgarri bat, batezbesteko aritmetiko sinplea zentroaren adierazgarri ez den 3,166… delarik. Muturreko datuek medianaren balioan eragin nabarmenik ez dutela eta, mediana <a href="/wiki/Estatistiko" title="Estatistiko">estatistiko</a> <a href="/wiki/Sendotasun_(estatistika)" title="Sendotasun (estatistika)">jasankorra</a> dela esaten da. <a href="/wiki/Alborapen_(estatistika)" title="Alborapen (estatistika)">Alborapen</a> handiko banakuntzetan ere, batezbestekoa baino neurri egokiagoa da. </p><p>Eragozpen gisa, datu guztiak kontuan hartzen ez dituela aipatu behar da. Bere kalkulua formula bidez adierazteko oztopoak izateaz gainera, ez da matematikoki garatzen erraza. </p><p>Propietate matematikoei buruz, </p> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x_{i}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{i}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e87000dd6142b81d041896a30fe58f0c3acb2158" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.129ex; height:2.009ex;" alt="{\displaystyle x_{i}}"></span> lagin datuetarako ondoko adierazpena txikien egiten duen <i>m</i> balioa da mediana:</li></ul> <dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sum _{i=1}^{n}|x_{i}-m|}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munderover> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </munderover> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> <mo>&#x2212;<!-- − --></mo> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sum _{i=1}^{n}|x_{i}-m|}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9ad036b1882d15a3d8b724d02a11879e0c9174b8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:12.046ex; height:6.843ex;" alt="{\displaystyle \sum _{i=1}^{n}|x_{i}-m|}"></span>;</dd></dl></dd></dl> <ul><li>bi datu-multzo bateratzen badira, baterako mediana aurreko medianen tartean izango da.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Ariketak"><figure class="mw-halign-left" typeof="mw:File"><a href="/wiki/Fitxategi:Jakindun_logoa.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Jakindun_logoa.png/24px-Jakindun_logoa.png" decoding="async" width="24" height="24" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Jakindun_logoa.png/36px-Jakindun_logoa.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Jakindun_logoa.png/48px-Jakindun_logoa.png 2x" data-file-width="225" data-file-height="225" /></a><figcaption></figcaption></figure> Ariketak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mediana&amp;veaction=edit&amp;section=6" title="Aldatu atal hau: «Ariketak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mediana&amp;action=edit&amp;section=6" title="Edit section&#039;s source code: Ariketak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul class="gallery mw-gallery-packed" style="background-color: #fef6e7; margin-left: 0;"> <li class="gallerycaption">Mediana</li> <li class="gallerybox" style="width: 215.33333333333px"> <div class="thumb" style="width: 213.33333333333px;"><span typeof="mw:File"><span><video id="mwe_player_0" poster="//upload.wikimedia.org/wikipedia/commons/thumb/6/64/Posizio_neurriak_Mediana_eta_kuartilak_Kalkulatzea.webm/320px-seek%3D71-Posizio_neurriak_Mediana_eta_kuartilak_Kalkulatzea.webm.jpg" controls="" preload="none" data-mw-tmh="" class="mw-file-element" width="214" height="120" data-durationhint="348" data-mwtitle="Posizio_neurriak_Mediana_eta_kuartilak_Kalkulatzea.webm" data-mwprovider="wikimediacommons"><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/64/Posizio_neurriak_Mediana_eta_kuartilak_Kalkulatzea.webm/Posizio_neurriak_Mediana_eta_kuartilak_Kalkulatzea.webm.480p.vp9.webm" type="video/webm; codecs=&quot;vp9, opus&quot;" data-transcodekey="480p.vp9.webm" data-width="854" data-height="480" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/64/Posizio_neurriak_Mediana_eta_kuartilak_Kalkulatzea.webm/Posizio_neurriak_Mediana_eta_kuartilak_Kalkulatzea.webm.720p.vp9.webm" type="video/webm; codecs=&quot;vp9, opus&quot;" data-transcodekey="720p.vp9.webm" data-width="1280" data-height="720" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/64/Posizio_neurriak_Mediana_eta_kuartilak_Kalkulatzea.webm/Posizio_neurriak_Mediana_eta_kuartilak_Kalkulatzea.webm.1080p.vp9.webm" type="video/webm; codecs=&quot;vp9, opus&quot;" data-transcodekey="1080p.vp9.webm" data-width="1920" data-height="1080" /><source src="//upload.wikimedia.org/wikipedia/commons/6/64/Posizio_neurriak_Mediana_eta_kuartilak_Kalkulatzea.webm" type="video/webm; codecs=&quot;vp9, opus&quot;" data-width="3840" data-height="2160" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/64/Posizio_neurriak_Mediana_eta_kuartilak_Kalkulatzea.webm/Posizio_neurriak_Mediana_eta_kuartilak_Kalkulatzea.webm.240p.vp9.webm" type="video/webm; codecs=&quot;vp9, opus&quot;" data-transcodekey="240p.vp9.webm" data-width="426" data-height="240" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/64/Posizio_neurriak_Mediana_eta_kuartilak_Kalkulatzea.webm/Posizio_neurriak_Mediana_eta_kuartilak_Kalkulatzea.webm.360p.vp9.webm" type="video/webm; codecs=&quot;vp9, opus&quot;" data-transcodekey="360p.vp9.webm" data-width="640" data-height="360" /><source src="//upload.wikimedia.org/wikipedia/commons/transcoded/6/64/Posizio_neurriak_Mediana_eta_kuartilak_Kalkulatzea.webm/Posizio_neurriak_Mediana_eta_kuartilak_Kalkulatzea.webm.360p.webm" type="video/webm; codecs=&quot;vp8, vorbis&quot;" data-transcodekey="360p.webm" data-width="640" data-height="360" /></video></span></span></div> <div class="gallerytext"><b>Mediana eta kuartilak</b> kalkulatzeko ariketa.</div> </li> </ul> <p><br /> </p> <div class="mw-heading mw-heading2"><h2 id="Erreferentziak">Erreferentziak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mediana&amp;veaction=edit&amp;section=7" title="Aldatu atal hau: «Erreferentziak»" class="mw-editsection-visualeditor"><span>aldatu</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mediana&amp;action=edit&amp;section=7" title="Edit section&#039;s source code: Erreferentziak"><span>aldatu iturburu kodea</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist" style="list-style-type: decimal;"> <ol class="references"> <li id="cite_note-1"><a href="#cite_ref-1">↑</a> <span class="reference-text">Beraz, datuak <i>ordenatu</i> egin behar direnez, <a href="/wiki/Aldagai_(argipena)" class="mw-disambig" title="Aldagai (argipena)">aldagai</a> bakun koantitatiboetarako edo ordinaletarako bakarrik kalkula daiteke.Adibidez, <a href="/wiki/Likert_eskala" title="Likert eskala">Likert eskalazko</a> datuetarako posible da mediana kalkulatzea, baina <i>hauteskundeetan emandako botua</i> eta bestelako aldagai koalitatiboetarako ezin da kalkulatu.</span> </li> <li id="cite_note-2"><a href="#cite_ref-2">↑</a> <span class="reference-text">Beraz, mediana 2-<a href="/wiki/Kuantil" title="Kuantil">kuantila</a> ere bada, eta bat dator bigarren <a href="/wiki/Kuartil" title="Kuartil">kuartilarekin</a>, bostgarren <a href="/wiki/Dezil" title="Dezil">dezilarekin</a> eta 50. <a href="/wiki/Pertzentil" title="Pertzentil">pertzentilarekin</a>.</span> </li> <li id="cite_note-3"><a href="#cite_ref-3">↑</a> <span class="reference-text"><a href="https://en.wikipedia.org/wiki/Eric_W._Weisstein" class="extiw" title="en:Eric W. Weisstein">Weisstein, Eric W</a>. "<a rel="nofollow" class="external text" href="https://mathworld.wolfram.com/StatisticalMedian.html">Statistical Median</a>". <i><a href="/wiki/MathWorld" title="MathWorld">MathWorld</a></i></span> </li> <li id="cite_note-4"><a href="#cite_ref-4">↑</a> <span class="reference-text">David J. Sheskin (27 August 2003). <i><a rel="nofollow" class="external text" href="https://books.google.com/books?id=bmwhcJqq01cC&amp;pg=PA7">Handbook of Parametric and Nonparametric Statistical Procedures</a></i> (Third ed.). CRC Press. pp. 7–. <a href="https://en.wikipedia.org/wiki/Special:BookSources/978-1-4200-3626-8" class="extiw" title="en:Special:BookSources/978-1-4200-3626-8">ISBN <bdi>978-1-4200-3626-8</bdi></a>. Retrieved 25 February 2013</span> </li> <li id="cite_note-5"><a href="#cite_ref-5">↑</a> <span class="reference-text">Derek Bissell (1994). <i><a rel="nofollow" class="external text" href="https://books.google.com/books?id=cTwwtyBX7PAC&amp;pg=PA26">Statistical Methods for Spc and Tqm</a></i>. CRC Press. pp. 26–. <a href="https://en.wikipedia.org/wiki/Special:BookSources/978-0-412-39440-9" class="extiw" title="en:Special:BookSources/978-0-412-39440-9">ISBN <bdi>978-0-412-39440-9</bdi></a>. Retrieved 25 February 2013</span> </li> <li id="cite_note-6"><a href="#cite_ref-6">↑</a> <span class="reference-text"><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x\,\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x\,\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec21bb206c6c9f458130ab7ffddfe3fd8d0fa6bb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.387ex; width:1.717ex; height:1.676ex;" alt="{\displaystyle x\,\!}"></span> aldagai baterako, mediana <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Me\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> <mi>e</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Me\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2efe7734c2218ad5e363150c99fbf4b85abbbf34" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.913ex; height:2.176ex;" alt="{\displaystyle Me\,}"></span>, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\tilde {x}}\,\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>x</mi> <mo stretchy="false">&#x007E;<!-- ~ --></mo> </mover> </mrow> </mrow> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\tilde {x}}\,\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/60f00afdf3b8bc020901babd5a447e921579fb79" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.387ex; width:1.717ex; height:2.176ex;" alt="{\displaystyle {\tilde {x}}\,\!}"></span> edo <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mu _{1/2}(x)\,\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>&#x03BC;<!-- μ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> </mrow> </msub> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu _{1/2}(x)\,\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9876b3a917fb5e25c550a65058a3d90fc782b048" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.171ex; margin-right: -0.387ex; width:7.626ex; height:3.176ex;" alt="{\displaystyle \mu _{1/2}(x)\,\!}"></span> moduan izendatzen , ohikoena <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Me\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>M</mi> <mi>e</mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Me\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2efe7734c2218ad5e363150c99fbf4b85abbbf34" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.913ex; height:2.176ex;" alt="{\displaystyle Me\,}"></span> izanik.</span> </li> <li id="cite_note-7"><a href="#cite_ref-7">↑</a> <span class="reference-text">Hurbilketaz datuak tartean zehar datuak uniformeki banatzen direla suposatzen da.</span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Kanpo_estekak">Kanpo estekak</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mediana&amp;veaction=edit&amp;section=8" title="Aldatu atal hau: «Kanpo estekak»" 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.navbox-title{background-color:#ccf}.mw-parser-output .navbox-abovebelow,.mw-parser-output .navbox-group,.mw-parser-output .navbox-subgroup .navbox-title{background-color:#ddf}.mw-parser-output .navbox-subgroup .navbox-group,.mw-parser-output .navbox-subgroup .navbox-abovebelow{background-color:#e6e6ff}.mw-parser-output .navbox-even{background-color:#f7f7f7}.mw-parser-output .navbox-odd{background-color:transparent}.mw-parser-output .navbox .hlist td dl,.mw-parser-output .navbox .hlist td ol,.mw-parser-output .navbox .hlist td ul,.mw-parser-output .navbox td.hlist dl,.mw-parser-output .navbox td.hlist ol,.mw-parser-output .navbox td.hlist ul{padding:0.125em 0}.mw-parser-output .navbox .navbar{display:block;font-size:100%}.mw-parser-output .navbox-title .navbar{float:left;text-align:left;margin-right:0.5em}</style></div><div role="navigation" class="navbox" aria-labelledby="Autoritate_kontrola" style="width: inherit;padding:3px"><table class="nowraplinks hlist navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th id="Autoritate_kontrola" scope="row" class="navbox-group" style="width:1%;width: 12%; text-align:center;"><a href="/wiki/Laguntza:Autoritate_kontrola" title="Laguntza:Autoritate kontrola">Autoritate kontrola</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><b>Wikimedia proiektuak</b></li> <li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikidata" title="Wikidata"><img alt="Wd" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/20px-Wikidata-logo.svg.png" decoding="async" width="20" height="11" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/30px-Wikidata-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/40px-Wikidata-logo.svg.png 2x" data-file-width="1050" data-file-height="590" /></a></span> Datuak:</span> <span class="uid"><a href="https://www.wikidata.org/wiki/Q226995" class="extiw" title="wikidata:Q226995">Q226995</a></span></li> <li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikimedia_Commons" title="Commonscat"><img alt="Commonscat" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/15px-Commons-logo.svg.png" decoding="async" width="15" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/23px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></a></span> Multimedia:</span> <span class="uid"><span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Median">Median</a></span> / <span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Special:MediaSearch?type=image&amp;search=%22Q226995%22">Q226995</a></span></span></li></ul> <hr /> <ul><li><b>Identifikadoreak</b></li> <li><span style="white-space:nowrap;"><a href="/wiki/Art_%26_Architecture_Thesaurus" title="Art &amp; Architecture Thesaurus">AAT</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://www.getty.edu/vow/AATFullDisplay?find=&amp;logic=AND&amp;note=&amp;subjectid=300055657">300055657</a></span></li> <li><b>Hiztegiak eta entziklopediak</b></li> <li><span style="white-space:nowrap;"><a href="/wiki/Encyclop%C3%A6dia_Britannica" title="Encyclopædia Britannica">Britannica</a>:</span> <span class="uid"><a rel="nofollow" class="external text" href="https://www.britannica.com/science/median">url</a></span></li></ul> </div></td></tr></tbody></table></div><div class="mw-mf-linked-projects hlist"> <ul><li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikidata" title="Wikidata"><img alt="Wd" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/20px-Wikidata-logo.svg.png" decoding="async" width="20" height="11" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/30px-Wikidata-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/Wikidata-logo.svg/40px-Wikidata-logo.svg.png 2x" data-file-width="1050" data-file-height="590" /></a></span> Datuak:</span> <span class="uid"><a href="https://www.wikidata.org/wiki/Q226995" class="extiw" title="wikidata:Q226995">Q226995</a></span></li> <li><span style="white-space:nowrap;"><span typeof="mw:File"><a href="/wiki/Wikimedia_Commons" title="Commonscat"><img alt="Commonscat" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/15px-Commons-logo.svg.png" decoding="async" width="15" height="20" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/23px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></a></span> Multimedia:</span> <span class="uid"><span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Median">Median</a></span> / <span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Special:MediaSearch?type=image&amp;search=%22Q226995%22">Q226995</a></span></span></li></ul> </div></div> <!-- NewPP limit report Parsed by mw‐web.codfw.main‐d6fb68d67‐hw9mp Cached time: 20241107182652 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.252 seconds Real time usage: 0.692 seconds Preprocessor visited node count: 496/1000000 Post‐expand include size: 6468/2097152 bytes Template argument size: 658/2097152 bytes Highest 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