{"id":517,"date":"2023-07-29T15:34:21","date_gmt":"2023-07-29T15:34:21","guid":{"rendered":"https:\/\/statorials.org\/de\/binomialstandardabweichungsrechner\/"},"modified":"2023-07-29T15:34:21","modified_gmt":"2023-07-29T15:34:21","slug":"binomialstandardabweichungsrechner","status":"publish","type":"post","link":"https:\/\/statorials.org\/de\/binomialstandardabweichungsrechner\/","title":{"rendered":"Binomialer standardabweichungsrechner"},"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>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_outro {\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;\nmargin-top: 10px;\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>.input_label_calc {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n}<\/p>\n<p>    #button_calc {\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_calc: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\">Die <b>Standardabweichung der Binomialverteilung<\/b> ist definiert als:<\/div>\n<div id=\"words_intro\"> \u03c3 = \u221a <span style=\"text-decoration:overline\">n*p*(1\u2212p)<\/span><\/div>\n<div id=\"words_intro\"> Dabei ist <i>n<\/i> die Stichprobengr\u00f6\u00dfe und <i>p<\/i> der Bev\u00f6lkerungsanteil.<\/div>\n<div id=\"words_intro\"> Um die Standardabweichung f\u00fcr eine bestimmte Binomialverteilung zu berechnen, geben Sie einfach die folgenden Werte ein und klicken Sie dann auf die Schaltfl\u00e4che \u201eBerechnen\u201c.<\/div>\n<div id=\"words\"> <label class=\"input_label_calc\" for=\"p\"><b>Bev\u00f6lkerungsanteil (p)<\/b><\/label><input class=\"input_label_calc\" type=\"number\" id=\"p\" value=\"0.43\"> <label class=\"input_label_calc\" for=\"n\"><b>Stichprobengr\u00f6\u00dfe (n)<\/b><\/label> <input class=\"input_label_calc\" type=\"number\" id=\"n\" value=\"40\"><\/div>\n<div id=\"words\"><input class=\"input_label_calc\" type=\"button\" id=\"button_calc\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div id=\"words_outro\">\n<p> \u03c3 = <b><span id=\"result\">16,56<\/span><\/b><\/p>\n<\/div>\n<hr>\n<div id=\"words_outro\">\n<p> <b>Erl\u00e4uterung:<\/b><\/p>\n<\/div>\n<div id=\"words_intro\">\n<p> \u03c3 = \u221a <span style=\"text-decoration:overline\">n*p*(1\u2212p)<\/span><\/p>\n<\/div>\n<div id=\"words_intro\">\n<p> \u03c3 = \u221a <span style=\"text-decoration:overline\"><span id=\"n2\">40<\/span> * <span id=\"p2\">0,43<\/span> *(1\u2212 <span id=\"p3\">0,43<\/span> )<\/span><\/p>\n<\/div>\n<div id=\"words_intro\">\n<p> \u03c3 = <b><span id=\"result2\">16,56<\/span><\/b><\/p>\n<\/div>\n<p><script><\/p>\n<p>function calc() {\t\n\/\/get input values\nvar p = document.getElementById('p').value*1;\nvar n = document.getElementById('n').value*1;<\/p>\n<p>\/\/calculate stuff\nvar result = Math.sqrt(n*p*(1-p));<\/p>\n<p>\/\/output\ndocument.getElementById('result').innerHTML = result.toFixed(3);\ndocument.getElementById('result2').innerHTML = result.toFixed(3);\ndocument.getElementById('n2').innerHTML = n;\ndocument.getElementById('p2').innerHTML = p;\ndocument.getElementById('p3').innerHTML = p;\n}<\/p>\n<p><\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Die Standardabweichung der Binomialverteilung ist definiert als: \u03c3 = \u221a n*p*(1\u2212p) Dabei ist n die Stichprobengr\u00f6\u00dfe und p der Bev\u00f6lkerungsanteil. Um die Standardabweichung f\u00fcr eine bestimmte Binomialverteilung zu berechnen, geben Sie einfach die folgenden Werte ein und klicken Sie dann auf die Schaltfl\u00e4che \u201eBerechnen\u201c. Bev\u00f6lkerungsanteil (p) Stichprobengr\u00f6\u00dfe (n) \u03c3 = 16,56 Erl\u00e4uterung: \u03c3 = \u221a [&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":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Binomialer Standardabweichungsrechner \u2013 Statistik<\/title>\n<meta name=\"description\" content=\"Dieser Rechner ermittelt die Standardabweichung f\u00fcr eine gegebene Binomialverteilung.\" \/>\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\/de\/binomialstandardabweichungsrechner\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Binomialer Standardabweichungsrechner \u2013 Statistik\" \/>\n<meta property=\"og:description\" content=\"Dieser Rechner ermittelt die Standardabweichung f\u00fcr eine gegebene Binomialverteilung.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/de\/binomialstandardabweichungsrechner\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T15:34:21+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<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/de\/binomialstandardabweichungsrechner\/\",\"url\":\"https:\/\/statorials.org\/de\/binomialstandardabweichungsrechner\/\",\"name\":\"Binomialer Standardabweichungsrechner \u2013 Statistik\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/de\/#website\"},\"datePublished\":\"2023-07-29T15:34:21+00:00\",\"dateModified\":\"2023-07-29T15:34:21+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/de\/#\/schema\/person\/ec75c4d6365f2708f8a0ad3a42121aa0\"},\"description\":\"Dieser Rechner ermittelt die Standardabweichung f\u00fcr eine gegebene Binomialverteilung.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/de\/binomialstandardabweichungsrechner\/#breadcrumb\"},\"inLanguage\":\"de-DE\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/de\/binomialstandardabweichungsrechner\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/de\/binomialstandardabweichungsrechner\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Heim\",\"item\":\"https:\/\/statorials.org\/de\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Binomialer standardabweichungsrechner\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/de\/#website\",\"url\":\"https:\/\/statorials.org\/de\/\",\"name\":\"Statorials\",\"description\":\"Ihr Leitfaden f\u00fcr statistische Kompetenz !\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/de\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"de-DE\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/de\/#\/schema\/person\/ec75c4d6365f2708f8a0ad3a42121aa0\",\"name\":\"Dr. Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"de-DE\",\"@id\":\"https:\/\/statorials.org\/de\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/de\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/de\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr. Benjamin Anderson\"},\"description\":\"Hallo, ich bin Benjamin, ein pensionierter Statistikprofessor, der sich zum engagierten Statorials-Lehrer entwickelt hat. 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