{"id":1758,"date":"2021-03-03T09:58:02","date_gmt":"2021-03-03T09:58:02","guid":{"rendered":"https:\/\/quickpercentcalc.com\/statistik\/rechner-fuer-standardabweichungen\/"},"modified":"2025-04-07T18:51:20","modified_gmt":"2025-04-07T18:51:20","slug":"rechner-fuer-standardabweichungen","status":"publish","type":"page","link":"https:\/\/quickpercentcalc.com\/de\/statistik\/rechner-fuer-standardabweichungen\/","title":{"rendered":"Rechner f\u00fcr Standardabweichungen"},"content":{"rendered":"\n<p>Berechnen Sie die Standardabweichung. Unser Rechner errechnet f\u00fcr Sie die Standardabweichung. <\/p>\n\n<p>Die Standardabweichung (s) gibt uns die durchschnittliche Abweichung vom Mittelwert in unserem Datensatz an. Die Standardabweichung ist auch die Quadratwurzel der Varianz. <\/p>\n\n<h2 class=\"wp-block-heading\">Wie man die Standardabweichung berechnet<\/h2>\n\n<p><strong>Schritte zur Berechnung der Standardabweichung:<\/strong><br\/>1. Finden Sie die Differenz zwischen jeder Zahl (x) und dem <a href=\"https:\/\/quickpercentcalc.com\/de\/statistik\/mittelwert-durchschnitt-rechner\/\">Mittelwert<\/a> (\\(\\bar{x}\\)).<br\/>2. Quadrieren (^2) Sie jede Differenz<br\/>3. Addieren Sie alle quadrierten Differenzen<br\/>4. Teilen Sie durch die Anzahl der Werte minus 1<br\/>5. Ziehen Sie die Quadratwurzel<\/p>\n\n<p>Um diesen Rechner zu verwenden, trennen Sie jede Zahl durch ein Leerzeichen (Beispiel: 2 5 4 usw.). F\u00fcr Dezimalzahlen k\u00f6nnen Sie entweder ein Komma oder einen Punkt verwenden. Verwenden Sie keine Tausendertrennzeichen oder Buchstaben. <\/p>\n\n<h2 class=\"wp-block-heading\">Formel f\u00fcr die Standardabweichung<\/h2>\n\n<style> .frac { display: inline-block; position: relative; vertical-align: middle; letter-spacing: 0.001em; text-align: center; } .frac > span { display: block; padding: 0.1em; } .frac span.bottom { border-top: thin solid black; } .frac span.symbol { display: none; } <\/style> <div class=\"formel\">  $$\\sqrt{\\frac{1}{n-1} \\sum_{i=1}^N (x_i &#8211; \\overline{x})^2}$$$  <\/div> <br\/><br\/>\n\n<h2 class=\"wp-block-heading\">Rechner f\u00fcr Standardabweichungen<\/h2>\n\n<script src=\"https:\/\/ajax.googleapis.com\/ajax\/libs\/jquery\/3.5.1\/jquery.min.js\"><\/script> <script> $(function () { $(\"#regnut\").click(function () { var str = $(\"#tall\").val(); var res = Array.from(str.split(\/[ ]+\/)); var utregning = Array; var std; for (var i = 0; i < res.length; i++) { res[i] = res[i].replace(\",\", \".\"); res[i] = parseFloat(res[i]); } var total = 0; for (var i = 0; i < res.length; i++) { total = total + res[i]; } var gjsnitt = total \/ res.length; for (var i = 0; i < res.length; i++) { utregning[i] = res[i] - gjsnitt; } for (var i = 0; i < res.length; i++) { utregning[i] = Math.pow(utregning[i], 2); } var sumKv = 0; for (var i = 0; i < res.length; i++) { sumKv = sumKv + utregning[i]; } std = sumKv \/ (res.length - 1); std = Math.sqrt(std); if (std % 1 !== 0) { std = std.toFixed(4); } else { std = std.toFixed(); } std = std.toString(); $(\"#resultat\").html(std); $(\"#resultatBoks\").css({ \"visibility\": \"initial\" }); }); }); <\/script>\n<label for=\"tall\">Nummernliste (verwenden Sie Leerzeichen zur Trennung der Nummern)<\/label><br\/>\n<textarea type=\"text\" id=\"tall\"><\/textarea>\n<br\/><br\/> <br\/><br\/>\n<input type=\"button\" id=\"regnut\" value=\"Berechnen Sie\"\/> <br\/><br\/> <div id=\"resultatBoks\" style=\"visibility: hidden;\"> <span>Ergebnis:<\/span><br\/> <span id=\"resultat\" class=\"kalkyleResultat\"><\/span> <\/div>\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Berechnen Sie die Standardabweichung. Unser Rechner errechnet f\u00fcr Sie die Standardabweichung. Die Standardabweichung (s) gibt uns die durchschnittliche Abweichung vom [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1705,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"kalkulator-side.php","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"class_list":["post-1758","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Rechner f\u00fcr Standardabweichungen - Quick Percent Calculator<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/quickpercentcalc.com\/de\/statistik\/rechner-fuer-standardabweichungen\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Rechner f\u00fcr Standardabweichungen - Quick Percent Calculator\" \/>\n<meta property=\"og:description\" content=\"Berechnen Sie die Standardabweichung. 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