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<span class="vector-toc-numb">1</span> <span>Voorbeelden</span> </div> </a> <ul id="toc-Voorbeelden-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Unimodale_verdeling" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Unimodale_verdeling"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Unimodale verdeling</span> </div> </a> <ul id="toc-Unimodale_verdeling-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Bi-_en_multimodale_verdelingen" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Bi-_en_multimodale_verdelingen"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Bi- en multimodale verdelingen</span> </div> </a> <ul id="toc-Bi-_en_multimodale_verdelingen-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="Inhoud" 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="Inhoudsopgave omschakelen" > <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">Inhoudsopgave omschakelen</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">Modus (statistiek)</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="Ga naar een artikel in een andere taal. Beschikbaar in 58 talen" > <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-58" 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">58 talen</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Moda_(estatistica)" title="Moda (estatistica) – Aragonees" lang="an" hreflang="an" data-title="Moda (estatistica)" data-language-autonym="Aragonés" data-language-local-name="Aragonees" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D9%86%D9%88%D8%A7%D9%84" title="منوال – Arabisch" lang="ar" hreflang="ar" data-title="منوال" data-language-autonym="العربية" data-language-local-name="Arabisch" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D0%B0_(%D1%81%D1%82%D0%B0%D1%82%D1%8B%D1%81%D1%82%D1%8B%D0%BA%D0%B0)" title="Мода (статыстыка) – Belarussisch" lang="be" hreflang="be" data-title="Мода (статыстыка)" data-language-autonym="Беларуская" data-language-local-name="Belarussisch" 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%BE%D0%B4%D0%B0_(%D1%81%D1%82%D0%B0%D1%82%D0%B8%D1%81%D1%82%D0%B8%D0%BA%D0%B0)" title="Мода (статистика) – Bulgaars" lang="bg" hreflang="bg" data-title="Мода (статистика)" data-language-autonym="Български" data-language-local-name="Bulgaars" 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%AA%E0%A7%8D%E0%A6%B0%E0%A6%9A%E0%A7%81%E0%A6%B0%E0%A6%95" title="প্রচুরক – Bengaals" lang="bn" hreflang="bn" data-title="প্রচুরক" data-language-autonym="বাংলা" data-language-local-name="Bengaals" 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/Modus" title="Modus – Bosnisch" lang="bs" hreflang="bs" data-title="Modus" data-language-autonym="Bosanski" data-language-local-name="Bosnisch" 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/Moda_(estad%C3%ADstica)" title="Moda (estadística) – Catalaans" lang="ca" hreflang="ca" data-title="Moda (estadística)" data-language-autonym="Català" data-language-local-name="Catalaans" 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/%D8%A8%D8%A7%D9%88_(%D8%A6%D8%A7%D9%85%D8%A7%D8%B1)" title="باو (ئامار) – Soranî" lang="ckb" hreflang="ckb" data-title="باو (ئامار)" data-language-autonym="کوردی" data-language-local-name="Soranî" 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/Modus" title="Modus – Tsjechisch" lang="cs" hreflang="cs" data-title="Modus" data-language-autonym="Čeština" data-language-local-name="Tsjechisch" 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/Modd_(ystadegaeth)" title="Modd (ystadegaeth) – Welsh" lang="cy" hreflang="cy" data-title="Modd (ystadegaeth)" data-language-autonym="Cymraeg" data-language-local-name="Welsh" 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/Typetal" title="Typetal – Deens" lang="da" hreflang="da" data-title="Typetal" data-language-autonym="Dansk" data-language-local-name="Deens" 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/Modus_(Statistik)" title="Modus (Statistik) – Duits" lang="de" hreflang="de" data-title="Modus (Statistik)" data-language-autonym="Deutsch" data-language-local-name="Duits" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Mode_(statistics)" title="Mode (statistics) – Engels" lang="en" hreflang="en" data-title="Mode (statistics)" data-language-autonym="English" data-language-local-name="Engels" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Moda_(estad%C3%ADstica)" title="Moda (estadística) – Spaans" lang="es" hreflang="es" data-title="Moda (estadística)" data-language-autonym="Español" data-language-local-name="Spaans" 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/Mood_(statistika)" title="Mood (statistika) – Estisch" lang="et" hreflang="et" data-title="Mood (statistika)" data-language-autonym="Eesti" data-language-local-name="Estisch" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Moda_(estatistika)" title="Moda (estatistika) – Baskisch" lang="eu" hreflang="eu" data-title="Moda (estatistika)" data-language-autonym="Euskara" data-language-local-name="Baskisch" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%85%D8%AF_(%D8%A2%D9%85%D8%A7%D8%B1)" title="مد (آمار) – Perzisch" lang="fa" hreflang="fa" data-title="مد (آمار)" data-language-autonym="فارسی" data-language-local-name="Perzisch" 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/Moodi_(tilastotiede)" title="Moodi (tilastotiede) – Fins" lang="fi" hreflang="fi" data-title="Moodi (tilastotiede)" data-language-autonym="Suomi" data-language-local-name="Fins" 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/Mode_(statistiques)" title="Mode (statistiques) – Frans" lang="fr" hreflang="fr" data-title="Mode (statistiques)" data-language-autonym="Français" data-language-local-name="Frans" 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/Moda_(estat%C3%ADstica)" title="Moda (estatística) – Galicisch" lang="gl" hreflang="gl" data-title="Moda (estatística)" data-language-autonym="Galego" data-language-local-name="Galicisch" 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%A9%D7%9B%D7%99%D7%97" title="שכיח – Hebreeuws" lang="he" hreflang="he" data-title="שכיח" data-language-autonym="עברית" data-language-local-name="Hebreeuws" 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%AC%E0%A4%B9%E0%A5%81%E0%A4%B2%E0%A4%95_(%E0%A4%B8%E0%A4%BE%E0%A4%82%E0%A4%96%E0%A5%8D%E0%A4%AF%E0%A4%BF%E0%A4%95%E0%A5%80)" title="बहुलक (सांख्यिकी) – Hindi" lang="hi" hreflang="hi" data-title="बहुलक (सांख्यिकी)" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/M%C3%B3dusz" title="Módusz – Hongaars" lang="hu" hreflang="hu" data-title="Módusz" data-language-autonym="Magyar" data-language-local-name="Hongaars" 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%B8%D5%A4%D5%A1_(%D5%BE%D5%AB%D5%B3%D5%A1%D5%AF%D5%A1%D5%A3%D6%80%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6)" title="Մոդա (վիճակագրություն) – Armeens" lang="hy" hreflang="hy" data-title="Մոդա (վիճակագրություն)" data-language-autonym="Հայերեն" data-language-local-name="Armeens" 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/Modus_(statistika)" title="Modus (statistika) – Indonesisch" lang="id" hreflang="id" data-title="Modus (statistika)" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesisch" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/T%C3%AD%C3%B0asta_gildi" title="Tíðasta gildi – IJslands" lang="is" hreflang="is" data-title="Tíðasta gildi" data-language-autonym="Íslenska" data-language-local-name="IJslands" 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/Moda_(statistica)" title="Moda (statistica) – Italiaans" lang="it" hreflang="it" data-title="Moda (statistica)" data-language-autonym="Italiano" data-language-local-name="Italiaans" 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/%E6%9C%80%E9%A0%BB%E5%80%A4" title="最頻値 – Japans" lang="ja" hreflang="ja" data-title="最頻値" data-language-autonym="日本語" data-language-local-name="Japans" 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%B5%9C%EB%B9%88%EA%B0%92" title="최빈값 – Koreaans" lang="ko" hreflang="ko" data-title="최빈값" data-language-autonym="한국어" data-language-local-name="Koreaans" 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/Moda" title="Moda – Litouws" lang="lt" hreflang="lt" data-title="Moda" data-language-autonym="Lietuvių" data-language-local-name="Litouws" 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/Moda_(statistika)" title="Moda (statistika) – Lets" lang="lv" hreflang="lv" data-title="Moda (statistika)" data-language-autonym="Latviešu" data-language-local-name="Lets" 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%BE%D0%B4%D1%83%D1%81" title="Модус – Macedonisch" lang="mk" hreflang="mk" data-title="Модус" data-language-autonym="Македонски" data-language-local-name="Macedonisch" 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/Mod" title="Mod – Maleis" lang="ms" hreflang="ms" data-title="Mod" data-language-autonym="Bahasa Melayu" data-language-local-name="Maleis" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Typetal" title="Typetal – Noors - Nynorsk" lang="nn" hreflang="nn" data-title="Typetal" data-language-autonym="Norsk nynorsk" data-language-local-name="Noors - Nynorsk" 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/Typetall" title="Typetall – Noors - Bokmål" lang="nb" hreflang="nb" data-title="Typetall" data-language-autonym="Norsk bokmål" data-language-local-name="Noors - Bokmål" 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/Dominanta_(statystyka)" title="Dominanta (statystyka) – Pools" lang="pl" hreflang="pl" data-title="Dominanta (statystyka)" data-language-autonym="Polski" data-language-local-name="Pools" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt badge-Q17437796 badge-featuredarticle mw-list-item" title="uitgelicht artikel"><a href="https://pt.wikipedia.org/wiki/Moda_(estat%C3%ADstica)" title="Moda (estatística) – Portugees" lang="pt" hreflang="pt" data-title="Moda (estatística)" data-language-autonym="Português" data-language-local-name="Portugees" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9C%D0%BE%D0%B4%D0%B0_(%D1%81%D1%82%D0%B0%D1%82%D0%B8%D1%81%D1%82%D0%B8%D0%BA%D0%B0)" title="Мода (статистика) – Russisch" lang="ru" hreflang="ru" data-title="Мода (статистика)" data-language-autonym="Русский" data-language-local-name="Russisch" 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/Modu_(stat%C3%ACstica)" title="Modu (statìstica) – Siciliaans" lang="scn" hreflang="scn" data-title="Modu (statìstica)" data-language-autonym="Sicilianu" data-language-local-name="Siciliaans" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Modus_(statistika)" title="Modus (statistika) – Servo-Kroatisch" lang="sh" hreflang="sh" data-title="Modus (statistika)" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Servo-Kroatisch" 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%B7%8F%E0%B6%AD%E0%B6%BA_(%E0%B7%83%E0%B6%82%E0%B6%9B%E0%B7%8A%E2%80%8D%E0%B6%BA%E0%B7%8F%E0%B6%AD%E0%B6%BA)" title="මාතය (සංඛ්‍යාතය) – Singalees" lang="si" hreflang="si" data-title="මාතය (සංඛ්‍යාතය)" data-language-autonym="සිංහල" data-language-local-name="Singalees" 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/Mode_(statistics)" title="Mode (statistics) – Simple English" lang="en-simple" hreflang="en-simple" data-title="Mode (statistics)" 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/Modus_(naj%C4%8Dastej%C5%A1ia_hodnota)" title="Modus (najčastejšia hodnota) – Slowaaks" lang="sk" hreflang="sk" data-title="Modus (najčastejšia hodnota)" data-language-autonym="Slovenčina" data-language-local-name="Slowaaks" 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/Modus_(statistika)" title="Modus (statistika) – Sloveens" lang="sl" hreflang="sl" data-title="Modus (statistika)" data-language-autonym="Slovenščina" data-language-local-name="Sloveens" 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/Chikuwo" title="Chikuwo – Shona" lang="sn" hreflang="sn" data-title="Chikuwo" data-language-autonym="ChiShona" data-language-local-name="Shona" 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/Moda_(statistik%C3%AB)" title="Moda (statistikë) – Albanees" lang="sq" hreflang="sq" data-title="Moda (statistikë)" data-language-autonym="Shqip" data-language-local-name="Albanees" 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/Modus_(statistika)" title="Modus (statistika) – Servisch" lang="sr" hreflang="sr" data-title="Modus (statistika)" data-language-autonym="Српски / srpski" data-language-local-name="Servisch" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Typv%C3%A4rde" title="Typvärde – Zweeds" lang="sv" hreflang="sv" data-title="Typvärde" data-language-autonym="Svenska" data-language-local-name="Zweeds" 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/Modi_(Takwimu)" title="Modi (Takwimu) – Swahili" lang="sw" hreflang="sw" data-title="Modi (Takwimu)" data-language-autonym="Kiswahili" data-language-local-name="Swahili" 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%AE%E0%AF%81%E0%AE%95%E0%AE%9F%E0%AF%81_(%E0%AE%95%E0%AE%A3%E0%AE%BF%E0%AE%A4%E0%AE%AE%E0%AF%8D)" title="முகடு (கணிதம்) – Tamil" lang="ta" hreflang="ta" data-title="முகடு (கணிதம்)" data-language-autonym="தமிழ்" data-language-local-name="Tamil" 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%BE%D0%B4_(%D0%BE%D0%BC%D0%BE%D1%80)" title="Мод (омор) – Tadzjieks" lang="tg" hreflang="tg" data-title="Мод (омор)" data-language-autonym="Тоҷикӣ" data-language-local-name="Tadzjieks" 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%90%E0%B8%B2%E0%B8%99%E0%B8%99%E0%B8%B4%E0%B8%A2%E0%B8%A1" title="ฐานนิยม – Thai" lang="th" hreflang="th" data-title="ฐานนิยม" data-language-autonym="ไทย" data-language-local-name="Thai" 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encyclopedie</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="nl" dir="ltr"><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Bestand:Normal_distribution_pdf.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Normal_distribution_pdf.svg/260px-Normal_distribution_pdf.svg.png" decoding="async" width="260" height="208" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Normal_distribution_pdf.svg/390px-Normal_distribution_pdf.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fb/Normal_distribution_pdf.svg/520px-Normal_distribution_pdf.svg.png 2x" data-file-width="600" data-file-height="480" /></a><figcaption>Figuur 1: Kansdichtheden van de normale verdeling, voorbeelden van unimodale verdelingen</figcaption></figure> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Bestand:Bimodal.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e2/Bimodal.png/260px-Bimodal.png" decoding="async" width="260" height="137" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/e/e2/Bimodal.png 1.5x" data-file-width="350" data-file-height="184" /></a><figcaption>Figuur 2: Bimodale verdeling</figcaption></figure> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Bestand:Bimodal_geological.PNG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/bc/Bimodal_geological.PNG/260px-Bimodal_geological.PNG" decoding="async" width="260" height="158" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/bc/Bimodal_geological.PNG/390px-Bimodal_geological.PNG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/bc/Bimodal_geological.PNG/520px-Bimodal_geological.PNG 2x" data-file-width="562" data-file-height="342" /></a><figcaption>Figuur 3: Een verdeling die, hoewel strikt unimodaal, gewoonlijk wordt aangeduid als bimodaal</figcaption></figure> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Bestand:BimodalAnts.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f2/BimodalAnts.png/260px-BimodalAnts.png" decoding="async" width="260" height="173" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f2/BimodalAnts.png/390px-BimodalAnts.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f2/BimodalAnts.png/520px-BimodalAnts.png 2x" data-file-width="2000" data-file-height="1333" /></a><figcaption>Figuur 4. Bimodaal histogram van de lichaamslengten van 300 wevermieren<sup id="cite_ref-Weber1946_1-0" class="reference"><a href="#cite_note-Weber1946-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></figcaption></figure> <p>De <b>modus</b> is voor een <a href="/wiki/Frequentieverdeling" title="Frequentieverdeling">frequentieverdeling</a> de waarde of waarnemingsklasse met de grootste <a href="/wiki/Frequentie" title="Frequentie">frequentie</a>, of anders gezegd, de waarde of klasse die het meest voorkomt. De twee andere meest gebruikte centrale waarden of <a href="/wiki/Centrummaat" title="Centrummaat">centrummaten</a> zijn de <a href="/wiki/Mediaan_(statistiek)" title="Mediaan (statistiek)">mediaan</a> en het <a href="/wiki/Rekenkundig_gemiddelde" title="Rekenkundig gemiddelde">rekenkundig gemiddelde</a>. De <b>modus</b> is ook voor een <a href="/wiki/Kansverdeling" title="Kansverdeling">kansverdeling</a> gedefinieerd, dus voor een <a href="/wiki/Kansfunctie" title="Kansfunctie">kansfunctie</a> of <a href="/wiki/Kansdichtheid" title="Kansdichtheid">kansdichtheid</a> en wel als de waarde met de grootste <a href="/wiki/Kans_(kansrekening)" title="Kans (kansrekening)">kans</a> of kansdichtheid. </p><p>Heeft een verdeling een, twee of meer modi, dan noemt men de verdeling unimodaal, bimodaal of multimodaal. </p><p>De modus is zinvol wanneer de meet- of waarnemingsresultaten om een centrale waarde verspreid liggen. Bij een symmetrische verdeling ligt de modus dicht bij het gemiddelde en de mediaan, bij een scheve verdeling niet. </p><p>Het voordeel van de modus ten opzichte van het rekenkundige gemiddelde is dat de modus ook bij <a href="/wiki/Meetschaal_(niveau)#Ordinale_schaal" title="Meetschaal (niveau)">ordinale</a> en zelfs <a href="/wiki/Meetschaal_(niveau)#Nominale_schaal" title="Meetschaal (niveau)">nominale</a> verdelingen kan worden gebruikt en over het algemeen iets eenvoudiger is te bepalen. </p> <div class="mw-heading mw-heading2"><h2 id="Voorbeelden">Voorbeelden</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Modus_(statistiek)&veaction=edit&section=1" title="Bewerk dit kopje: Voorbeelden" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Modus_(statistiek)&action=edit&section=1" title="De broncode bewerken van de sectie: Voorbeelden"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>De modus in de verdeling van een bepaalde grootheid wordt ook aangeduid als de 'modale grootheid'. Zo wordt de modus in de inkomensverdeling het <a href="/wiki/Modaal_inkomen" title="Modaal inkomen">modale inkomen</a> genoemd.</li> <li>Een klas van vijftien leerlingen doet een proefwerk. De cijfers zijn: 4, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8. Het cijfer 6 komt het meest voor, vijf keer, dus is 6 de modus. De mediaan is 7 en het gemiddelde 6,6.</li> <li>Van een bak met vijftien gekleurde ballen worden alle ballen gesorteerd en geteld: rood, geel, groen, groen, groen, groen, groen, blauw, blauw, blauw, blauw, wit, wit, wit, wit. De kleur groen is hier de modus of modale kleur en komt 5 keer voor. Van een mediaan en gemiddelde is in dit geval geen sprake.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Unimodale_verdeling">Unimodale verdeling</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Modus_(statistiek)&veaction=edit&section=2" title="Bewerk dit kopje: Unimodale verdeling" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Modus_(statistiek)&action=edit&section=2" title="De broncode bewerken van de sectie: Unimodale verdeling"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Een unimodale kansverdeling is een kansverdeling die maar één modus heeft. De bijbehorende <a href="/wiki/Kansfunctie" title="Kansfunctie">kansfunctie</a> in geval van een <a href="/wiki/Discrete_verdeling" class="mw-redirect" title="Discrete verdeling">discrete verdeling</a> of de <a href="/wiki/Kansdichtheid" title="Kansdichtheid">kansdichtheid</a> bij een <a href="/wiki/Continue_verdeling" class="mw-redirect" title="Continue verdeling">continue verdeling</a> heeft maar een globaal <a href="/wiki/Extreme_waarde" title="Extreme waarde">maximum</a>. </p><p>Voorbeelden van unimodale continue verdelingen zijn de <a href="/wiki/Normale_verdeling" title="Normale verdeling">normale verdeling</a>, de <a href="/wiki/Cauchy-verdeling" title="Cauchy-verdeling">cauchy-verdeling</a>, de <a href="/wiki/Studentverdeling" title="Studentverdeling">t-verdeling</a>, de <a href="/wiki/Chi-kwadraatverdeling" title="Chi-kwadraatverdeling">chi-kwadraatverdeling</a> en de <a href="/wiki/Exponenti%C3%ABle_verdeling" title="Exponentiële verdeling">exponentiële verdeling</a>. Onder de discrete verdelingen worden de <a href="/wiki/Binomiale_verdeling" title="Binomiale verdeling">binomiale verdeling</a> en de <a href="/wiki/Poissonverdeling" title="Poissonverdeling">poissonverdeling</a> als unimodaal beschouwd, hoewel voor sommige waarden van de parameters twee aangrenzende waarden dezelfde kans kunnen hebben. </p><p>Figuur 2 toont de kansdichtheid van een <a href="/wiki/Bimodale_verdeling" title="Bimodale verdeling">bimodale verdeling</a>. De verdeling heeft twee waarden, waarvoor de kansdichtheid maximaal is en even groot. </p><p>Figuur 3 toont een verdeling met één globaal maximum, die dus strikt genomen unimodaal is, maar het is gebruikelijk alle lokale maxima als modi van een verdeling te beschouwen. Als een kansfunctie of kansdichtheid meer dan een lokaal maximum heeft, wordt deze verdeling daarom als multimodaal aangeduid. Onder deze ruimere definitie illustreert de figuur een bimodale verdeling. </p> <div class="mw-heading mw-heading2"><h2 id="Bi-_en_multimodale_verdelingen">Bi- en multimodale verdelingen</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Modus_(statistiek)&veaction=edit&section=3" title="Bewerk dit kopje: Bi- en multimodale verdelingen" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Modus_(statistiek)&action=edit&section=3" title="De broncode bewerken van de sectie: Bi- en multimodale verdelingen"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Een multimodale verdeling is een continue kansverdeling waarvan de dichtheid meer dan een maximum heeft. Ieder van de waarden waarvoor de dichtheid lokaal maximaal is, wordt als modus van de verdeling beschouwd. Zijn er twee modi, dan spreekt men van een bimodale verdeling. </p><p>Het <a href="/wiki/Histogram" title="Histogram">histogram</a> van figuur 4 toont duidelijk twee modi. Dat doet vermoeden dat de populatie <a href="/wiki/Wevermieren" title="Wevermieren">wevermieren</a> uit twee verschillende deelpopulaties bestaat. </p> <div class="toccolours appendix" role="presentation" style="font-size:90%; margin:1em 0 -0.5em; clear:both;"> <div><span style="font-weight:bold">Bronnen, noten en/of referenties</span></div> <div class="reflist" style="list-style-type: decimal;"><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-Weber1946-1"><span class="mw-cite-backlink"><a href="#cite_ref-Weber1946_1-0">↑</a></span> <span class="reference-text"><span class="citation" id="CITEREFWeber,_NA1946"><span style="font-variant:small-caps;">Weber, NA</span> (1946). <cite>Dimorfisme in de Afrikaanse <i> Oecophylla </i> werker en een anomalie (Hym .: Formicidae)</cite> (PDF).  Gearchiveerd van origineel op <span class="mw-formatted-date" title="2016-03-20">20 maart 2016</span>. </span></span> </li> </ol></div></div> </div> <style data-mw-deduplicate="TemplateStyles:r67837862">.mw-parser-output .navigatie{position:relative;clear:both;overflow:auto;margin:1em auto -0.5em;padding:2px;background-color:var(--background-color-neutral-subtle,#f8f9fa);border:1px solid var(--border-color-base,#a2a9b1);text-align:center;font-size:87%}.mw-parser-output .navigatie-bewerken{margin-left:0.5em}.mw-parser-output .navigatie-bewerken .mw-ui-icon::before{background-size:0.9em}.mw-parser-output .navigatie-afb-links,.mw-parser-output .navigatie-afb-rechts{position:absolute}.mw-parser-output .navigatie-afb-rechts{right:2px}.mw-parser-output .navigatie-afb-groot{float:right;padding-left:0.5em}.mw-parser-output .navigatie-titel{background-color:#ddeef8;padding:2px 5.5em;font-weight:bold}.mw-parser-output .navigatie-inhoud{padding:0.5em}.mw-parser-output .navigatie-inhoud 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srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/40/OOjs_UI_icon_speechBubbles-ltr.svg/24px-OOjs_UI_icon_speechBubbles-ltr.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/40/OOjs_UI_icon_speechBubbles-ltr.svg/32px-OOjs_UI_icon_speechBubbles-ltr.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span> · <span typeof="mw:File"><a href="//nl.wikipedia.org/w/index.php?title=Sjabloon:Navigatie_beschrijvende_statistiek&action=edit" title="Sjabloon bewerken"><img alt="Sjabloon bewerken" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/16px-OOjs_UI_icon_edit-ltr.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/24px-OOjs_UI_icon_edit-ltr.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr.svg/32px-OOjs_UI_icon_edit-ltr.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></span></div></div> <div id="Onderwerpen_uit_de_beschrijvende_statistiek" class="navigatie-titel">Onderwerpen uit de beschrijvende statistiek</div> <div class="navigatie-inhoud"> <style data-mw-deduplicate="TemplateStyles:r67785531">.mw-parser-output .navigatie-tabel{margin:0 auto 0 auto;text-align:left}.mw-parser-output .navigatie-tabel .links{text-align:right}.mw-parser-output .navigatie-tabel .rechts{padding-left:0.5em}@media screen and (max-width:640px){.mw-parser-output .navigatie-tabel tr{display:grid;grid-template-columns:1fr;width:100%;margin-bottom:0.5em}.mw-parser-output .navigatie-tabel tr:last-of-type{margin-bottom:0}.mw-parser-output .navigatie-tabel .links{text-align:unset}.mw-parser-output .navigatie-tabel .rechts{padding:unset}}</style><table class="navigatie-tabel vatop" cellpadding="0" cellspacing="0" style=""><tbody><tr><td class="links" style=""><b><a href="/wiki/Gemiddelde" title="Gemiddelde">Gemiddelden</a>:</b></td><td class="rechts"><a href="/wiki/Rekenkundig_gemiddelde" title="Rekenkundig gemiddelde">rekenkundig gemiddelde</a> · <a href="/wiki/Meetkundig_gemiddelde" title="Meetkundig gemiddelde">meetkundig gemiddelde</a> · <a href="/wiki/Harmonisch_gemiddelde" title="Harmonisch gemiddelde">harmonisch gemiddelde</a> · <a href="/wiki/Kwadratisch_gemiddelde" title="Kwadratisch gemiddelde">kwadratisch gemiddelde</a> · <a href="/wiki/Gewogen_gemiddelde" title="Gewogen gemiddelde">gewogen gemiddelde</a> · <a href="/wiki/Getrimd_gemiddelde" title="Getrimd gemiddelde">getrimd gemiddelde</a> · <a href="/wiki/Winsorgemiddelde" title="Winsorgemiddelde">Winsorgemiddelde</a></td></tr><tr><td class="links"><b>Andere liggingsmaten:</b></td><td class="rechts"><a href="/wiki/Mediaan_(statistiek)" title="Mediaan (statistiek)">mediaan</a> · <a class="mw-selflink selflink">modus</a> · <a href="/wiki/Kwartiel" title="Kwartiel">kwartiel</a> · <a href="/wiki/Deciel" title="Deciel">deciel</a> · <a href="/wiki/Percentiel" title="Percentiel">percentiel</a></td></tr><tr><td class="links"><b><a href="/wiki/Spreiding" title="Spreiding">Spreidingsmaten</a>:</b></td><td class="rechts"><a href="/wiki/Variantie" title="Variantie">variantie</a> · <a href="/wiki/Standaardafwijking" title="Standaardafwijking">standaardafwijking</a> · <a href="/wiki/Variatieco%C3%ABffici%C3%ABnt" title="Variatiecoëfficiënt">variatiecoëfficiënt</a> · <a href="/wiki/Interkwartielafstand" title="Interkwartielafstand">interkwartielafstand</a></td></tr><tr><td class="links"><span class="nowrap"><b>Grafische beschrijvingen:</b></span></td><td class="rechts"><a href="/wiki/Histogram" title="Histogram">histogram</a> · <a href="/wiki/Boxplot" title="Boxplot">boxplot</a> · <a href="/wiki/Q-Q_plot" title="Q-Q plot">Q-Q plot</a></td></tr><tr><td class="links"><b>Overig:</b></td><td class="rechts"><a href="/wiki/Moment_(wiskunde)" title="Moment (wiskunde)">moment</a> · <a href="/wiki/Scheefheid" title="Scheefheid">scheefheid</a> · <a href="/wiki/Kurtosis" title="Kurtosis">kurtosis</a> · <a href="/wiki/Vijf-getallensamenvatting" title="Vijf-getallensamenvatting">vijf-getallensamenvatting</a></td></tr></tbody></table> </div></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Overgenomen van "<a dir="ltr" href="https://nl.wikipedia.org/w/index.php?title=Modus_(statistiek)&oldid=67753273">https://nl.wikipedia.org/w/index.php?title=Modus_(statistiek)&oldid=67753273</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Categorie:Alles" title="Categorie:Alles">Categorie</a>: <ul><li><a href="/wiki/Categorie:Liggingsmaat" title="Categorie:Liggingsmaat">Liggingsmaat</a></li></ul></div></div> </div> </main> </div> <div 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