{"id":442,"date":"2023-07-29T22:24:07","date_gmt":"2023-07-29T22:24:07","guid":{"rendered":"https:\/\/statorials.org\/nl\/centrale-limietstelling-rekenmachine\/"},"modified":"2023-07-29T22:24:07","modified_gmt":"2023-07-29T22:24:07","slug":"centrale-limietstelling-rekenmachine","status":"publish","type":"post","link":"https:\/\/statorials.org\/nl\/centrale-limietstelling-rekenmachine\/","title":{"rendered":"Centrale limietstelling rekenmachine"},"content":{"rendered":"<p><script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjs\/5.1.1\/math.js\"><\/script><script src=\"https:\/\/cdn.jsdelivr.net\/npm\/jstat@latest\/dist\/jstat.min.js\"><\/script><\/p>\n<style>\n@import url('https:\/\/fonts.googleapis.com\/css?family=Droid+Serif|Raleway');<\/p>\n<p>.axis--y .domain {\n  display: none;\n}<\/p>\n<p>h1 {\ncolor: black;\ntext-align: center;\nmargin-top: 15px;\nmargin-bottom: 0px;\nfont-family: 'Raleway', sans-serif;\n}<\/p>\n<p>h2 {\ncolor: black;\nfont-size: 20px;\ntext-align: center;\nmargin-bottom: 15px;\nmargin-top: 15px;\nfont-family: 'Raleway', sans-serif;\n}<\/p>\n<p>p {\ncolor: black;\ntext-align: center;\nmargin-bottom: 15px;\nmargin-top: 15px;\nfont-family: 'Raleway', sans-serif;\n}<\/p>\n<p>#words_intro {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>#words_intro_center {\ntext-align: center;\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>#words {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 100px;\n}<\/p>\n<p>#calcTitle {\ntext-align: center;\nfont-size: 20px;\nmargin-bottom: 0px;\nfont-family: 'Raleway', serif;\n}<\/p>\n<p>#hr_top {\nwidth: 30%;\nmargin-bottom: 0px;\nborder: none;\nheight: 2px;\ncolor: black;\nbackground-color: black;\n}<\/p>\n<p>#hr_bottom {\nwidth: 30%;\nmargin-top: 15px;\nborder: none;\nheight: 2px;\ncolor: black;\nbackground-color: black;\n}<\/p>\n<p>#words_intro label, input {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n}<\/p>\n<p>    #button {\n      border: 1px solid;\n      border-radius: 10px;\n      margin-top: 20px;\n      padding: 10px 10px;\n      cursor: pointer;\n      outline: none;\n      background-color: white;\n      color: black;\n      font-family: 'Work Sans', sans-serif;\n      border: 1px solid grey;\n      \/* Green *\/\n    }<\/p>\n<p>    #button:hover {\n      background-color: #f6f6f6;\n      border: 1px solid black;\n    }<\/p>\n<p>\t    .label_radio {\n\ttext-align: center;\n}\n<\/style>\n<div id=\"words_intro\">De centrale limietstelling stelt dat de steekproefverdeling van een steekproefgemiddelde bij benadering normaal is als de steekproefomvang groot genoeg is, <i>zelfs als de populatieverdeling niet normaal is.<\/i> De centrale limietstelling stelt ook dat de steekproefverdeling de volgende eigenschappen zal hebben:<\/div>\n<div id=\"words_intro\"> <b>1.<\/b> Het <b>gemiddelde<\/b> van de steekproefverdeling zal gelijk zijn aan het gemiddelde van de populatieverdeling:<\/div>\n<div id=\"words_intro_center\"> <span style=\"text-decoration: overline\">x<\/span> = \u00b5<\/div>\n<div id=\"words_intro\"> <b>2.<\/b> De <b>standaardafwijking<\/b> van de steekproefverdeling is gelijk aan de standaardafwijking van de populatieverdeling gedeeld door de steekproefomvang:<\/div>\n<div id=\"words_intro_center\"> s = \u03c3 \/ <span style=\"text-decoration: overline\">\u221an<\/span><\/div>\n<div id=\"words_intro\"> Om het steekproefgemiddelde en de standaarddeviatie van een bepaald monster te vinden, voert u eenvoudigweg de benodigde waarden hieronder in en klikt u vervolgens op de knop \u2018Berekenen\u2019.<\/div>\n<div id=\"words\"> <label for=\"pop_mean\"><b>Bevolkingsgemiddelde (\u03bc)<\/b><\/label><input type=\"number\" id=\"pop_mean\" min=\"0\" value=\"17\"><\/div>\n<div id=\"words\"> <label for=\"pop_sd\"><b>Standaardafwijking van de populatie (\u03c3)<\/b><\/label><input type=\"number\" id=\"pop_sd\" min=\"0\" value=\"4\"><\/div>\n<div id=\"words\"> <label for=\"n\"><b>Steekproefomvang (n)<\/b><\/label> <input type=\"number\" id=\"n\" min=\"0\" value=\"25\"><\/div>\n<div id=\"words\"><input type=\"button\" id=\"button\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div>\n<p> Steekproefgemiddelde ( <span style=\"text-decoration:overline\">X<\/span> ) = <b><span id=\"sample_mean\">17<\/span><\/b><\/p>\n<\/div>\n<div>\n<p> Steekproefstandaardafwijking (s) = <b><span id=\"sample_sd\">0,8<\/span><\/b><\/p>\n<\/div>\n<p><script><\/p>\n<p>function calc() {<\/p>\n<p>\t\/\/get input degrees of freedom, t-value\n\tvar n = document.getElementById('n').value*1;\n\tvar pop_mean = document.getElementById('pop_mean').value*1;\n\tvar pop_sd = document.getElementById('pop_sd').value*1;<\/p>\n<p>\t\/\/calculate sample mean and sample standard deviation\n\tvar sample_mean = pop_mean;\n\tvar sample_sd = pop_sd \/ Math.sqrt(n);<\/p>\n<p>\t\/\/output values\n\tdocument.getElementById('sample_mean').innerHTML = sample_mean.toFixed(5);\n\tdocument.getElementById('sample_sd').innerHTML = sample_sd.toFixed(5);\n  }<\/p>\n<p><\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>De centrale limietstelling stelt dat de steekproefverdeling van een steekproefgemiddelde bij benadering normaal is als de steekproefomvang groot genoeg is, zelfs als de populatieverdeling niet normaal is. De centrale limietstelling stelt ook dat de steekproefverdeling de volgende eigenschappen zal hebben: 1. Het gemiddelde van de steekproefverdeling zal gelijk zijn aan het gemiddelde van de populatieverdeling: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-442","post","type-post","status-publish","format-standard","hentry","category-gids"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Centrale limietstellingcalculator - Statorials<\/title>\n<meta name=\"description\" content=\"Deze rekenmachine vindt het steekproefgemiddelde en de standaarddeviatie van een bepaald monster.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/nl\/centrale-limietstelling-rekenmachine\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Centrale limietstellingcalculator - Statorials\" \/>\n<meta property=\"og:description\" content=\"Deze rekenmachine vindt het steekproefgemiddelde en de standaarddeviatie van een bepaald monster.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/nl\/centrale-limietstelling-rekenmachine\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T22:24:07+00:00\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Verfasst von\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Gesch\u00e4tzte Lesezeit\" \/>\n\t<meta name=\"twitter:data2\" content=\"1\u00a0Minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/nl\/centrale-limietstelling-rekenmachine\/\",\"url\":\"https:\/\/statorials.org\/nl\/centrale-limietstelling-rekenmachine\/\",\"name\":\"Centrale limietstellingcalculator - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/nl\/#website\"},\"datePublished\":\"2023-07-29T22:24:07+00:00\",\"dateModified\":\"2023-07-29T22:24:07+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/nl\/#\/schema\/person\/d4b8842173cca1bb62cdec41860e4219\"},\"description\":\"Deze rekenmachine vindt het steekproefgemiddelde en de standaarddeviatie van een bepaald monster.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/nl\/centrale-limietstelling-rekenmachine\/#breadcrumb\"},\"inLanguage\":\"de\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/nl\/centrale-limietstelling-rekenmachine\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/nl\/centrale-limietstelling-rekenmachine\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Thuis\",\"item\":\"https:\/\/statorials.org\/nl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Centrale limietstelling rekenmachine\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/nl\/#website\",\"url\":\"https:\/\/statorials.org\/nl\/\",\"name\":\"Statorials\",\"description\":\"Uw gids voor statistische competentie\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/nl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"de\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/nl\/#\/schema\/person\/d4b8842173cca1bb62cdec41860e4219\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"de\",\"@id\":\"https:\/\/statorials.org\/nl\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/statorials.org\/nl\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"http:\/\/statorials.org\/nl\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Ik ben Benjamin, een gepensioneerde hoogleraar statistiek die nu een toegewijde Statorials-lesgever is. 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