{"id":25,"date":"2025-07-21T21:18:21","date_gmt":"2025-07-21T19:18:21","guid":{"rendered":"https:\/\/xn--szmolgp-iwa0f0e.hu\/?page_id=25"},"modified":"2025-07-21T21:18:21","modified_gmt":"2025-07-21T19:18:21","slug":"standardabweichungsrechner-statistische-berechnungen-und-datenanalyse","status":"publish","type":"page","link":"https:\/\/xn--szmolgp-iwa0f0e.hu\/de\/szoras-kalkulator-statisztikai-szamitasok-es-adatelemzes\/","title":{"rendered":"Standardabweichungsrechner \u2013 Statistische Berechnungen und Datenanalyse"},"content":{"rendered":"<h1 class=\"wp-block-heading has-text-align-center\" style=\"margin-bottom:2rem\">Standardabweichungsrechner \u2013 Statistische Berechnungen und Datenanalyse<\/h1>\n<p class=\"has-text-align-center\" style=\"margin-bottom:3rem\">Professioneller Standardabweichungsrechner f\u00fcr statistische Berechnungen, Datenanalyse und Standardabweichungsberechnungen. Perfekte Wahl f\u00fcr Studenten, Statistiker und Forscher.<\/p>\n<div class=\"szoras-kalkulator-container\" data-theme=\"light\" style=\"--calculator-width: 100%; --calculator-height: auto;\">\n<div class=\"calculator\">\n<h2>Standardabweichungsrechner<\/h2>\n<p class=\"calculator-description\">Statistische Berechnungen, Standardabweichung und Datenanalyse<\/p>\n<div class=\"input-section\">\n<div class=\"calculation-type\">\n<h3>Berechnungstyp<\/h3>\n<p>                <select id=\"szorasType\" class=\"form-control\"><option value=\"population\">Standardabweichung der Grundgesamtheit<\/option><option value=\"sample\">Stichproben-Standardabweichung<\/option><option value=\"variance\">Varianz<\/option><\/select>\n            <\/div>\n<div class=\"input-group\">\n                <label for=\"szorasData\">Daten (durch Kommas getrennt):<\/label><br \/>\n                <textarea id=\"szorasData\" class=\"form-control\" rows=\"4\" placeholder=\"Zum Beispiel: 10, 15, 20, 25, 30\"><\/textarea>\n            <\/div>\n<p>            <button type=\"button\" id=\"szorasCalculate\" class=\"btn btn-primary\">Berechnung<\/button><br \/>\n            <button type=\"button\" id=\"szorasReset\" class=\"btn btn-secondary\">L\u00f6schen<\/button>\n        <\/div>\n<div class=\"result-section\" id=\"szorasResult\" style=\"display: none;\">\n<h3>Ergebnis<\/h3>\n<div class=\"result-display\">\n<div class=\"result-item\">\n                    <span class=\"result-label\">Mittelwert:<\/span><br \/>\n                    <span class=\"result-value\" id=\"szorasMean\">\u2013<\/span>\n                <\/div>\n<div class=\"result-item\">\n                    <span class=\"result-label\">Varianz:<\/span><br \/>\n                    <span class=\"result-value\" id=\"szorasVariance\">\u2013<\/span>\n                <\/div>\n<div class=\"result-item\">\n                    <span class=\"result-label\">Standardabweichung:<\/span><br \/>\n                    <span class=\"result-value\" id=\"szorasStdDev\">\u2013<\/span>\n                <\/div>\n<div class=\"result-item\">\n                    <span class=\"result-label\">Anzahl der Daten:<\/span><br \/>\n                    <span class=\"result-value\" id=\"szorasCount\">\u2013<\/span>\n                <\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"info-section\">\n<h3>Informationen<\/h3>\n<ul>\n<li><strong>Standardabweichung der Grundgesamtheit:<\/strong> Standardabweichung der gesamten Grundgesamtheit<\/li>\n<li><strong>Stichproben-Standardabweichung:<\/strong> Standardabweichung der Stichprobe (geteilt durch n-1)<\/li>\n<li><strong>Varianz:<\/strong> Quadrat der Standardabweichung<\/li>\n<\/ul><\/div>\n<\/p><\/div>\n<\/div>\n<p><script>\ndocument.addEventListener('DOMContentLoaded', function() {\n    const szorasType = document.getElementById('szorasType');\n    const szorasData = document.getElementById('szorasData');\n    const szorasCalculate = document.getElementById('szorasCalculate');\n    const szorasReset = document.getElementById('szorasReset');\n    const szorasResult = document.getElementById('szorasResult');\n    const szorasMean = document.getElementById('szorasMean');\n    const szorasVariance = document.getElementById('szorasVariance');\n    const szorasStdDev = document.getElementById('szorasStdDev');\n    const szorasCount = document.getElementById('szorasCount');<\/p>\n<p>    szorasCalculate.addEventListener('click', function() {\n        const dataString = szorasData.value.trim();\n        if (!dataString) {\n            alert('K\u00e9rj\u00fck, adjon meg adatokat!');\n            return;\n        }<\/p>\n<p>        const data = dataString.split(',').map(x => parseFloat(x.trim())).filter(x => !isNaN(x));\n        if (data.length === 0) {\n            alert('K\u00e9rj\u00fck, adjon meg \u00e9rv\u00e9nyes sz\u00e1mokat!');\n            return;\n        }<\/p>\n<p>        const type = szorasType.value;\n        const n = data.length;\n        const mean = data.reduce((sum, x) => sum + x, 0) \/ n;<\/p>\n<p>        let variance, stdDev;<\/p>\n<p>        if (type === 'population') {\n            variance = data.reduce((sum, x) => sum + Math.pow(x - mean, 2), 0) \/ n;\n        } else {\n            variance = data.reduce((sum, x) => sum + Math.pow(x - mean, 2), 0) \/ (n - 1);\n        }<\/p>\n<p>        stdDev = Math.sqrt(variance);<\/p>\n<p>        szorasMean.textContent = mean.toFixed(4);\n        szorasVariance.textContent = variance.toFixed(4);\n        szorasStdDev.textContent = stdDev.toFixed(4);\n        szorasCount.textContent = n;\n        szorasResult.style.display = 'block';\n    });<\/p>\n<p>    szorasReset.addEventListener('click', function() {\n        szorasData.value = '';\n        szorasResult.style.display = 'none';\n    });\n});\n<\/script><\/p>","protected":false},"excerpt":{"rendered":"<p>Sz\u00f3r\u00e1s Kalkul\u00e1tor &#8211; Statisztikai Sz\u00e1m\u00edt\u00e1sok \u00e9s Adatelemz\u00e9s Professzion\u00e1lis sz\u00f3r\u00e1s kalkul\u00e1tor statisztikai sz\u00e1m\u00edt\u00e1sokhoz, adatelemz\u00e9shez \u00e9s sz\u00f3r\u00e1s sz\u00e1m\u00edt\u00e1sokhoz. T\u00f6k\u00e9letes v\u00e1laszt\u00e1s di\u00e1koknak, statisztikusoknak \u00e9s kutat\u00f3knak. Sz\u00f3r\u00e1s Kalkul\u00e1tor Statisztikai sz\u00e1m\u00edt\u00e1sok, sz\u00f3r\u00e1s \u00e9s adatelemz\u00e9s Sz\u00e1m\u00edt\u00e1s t\u00edpusa Sokas\u00e1gi sz\u00f3r\u00e1sMintav\u00e9teli sz\u00f3r\u00e1sVariancia Adatok (vessz\u0151vel elv\u00e1lasztva): Sz\u00e1m\u00edt\u00e1s T\u00f6rl\u00e9s Eredm\u00e9ny \u00c1tlag: &#8211; Variancia: &#8211; Sz\u00f3r\u00e1s: &#8211; Adatok sz\u00e1ma: &#8211; Inform\u00e1ci\u00f3k Sokas\u00e1gi sz\u00f3r\u00e1s: teljes sokas\u00e1g sz\u00f3r\u00e1sa &#8230; <a title=\"Streuungsrechner \u2013 Statistische Berechnungen und Datenanalyse\" class=\"read-more\" href=\"https:\/\/xn--szmolgp-iwa0f0e.hu\/de\/szoras-kalkulator-statisztikai-szamitasok-es-adatelemzes\/\" aria-label=\"Mehr Informationen \u00fcber Sz\u00f3r\u00e1s Kalkul\u00e1tor &#8211; Statisztikai Sz\u00e1m\u00edt\u00e1sok \u00e9s Adatelemz\u00e9s\">Weiterlesen<\/a><\/p>","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-25","page","type-page","status-publish"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Sz\u00f3r\u00e1s Kalkul\u00e1tor - Statisztikai Sz\u00e1m\u00edt\u00e1sok \u00e9s Adatelemz\u00e9s - Sz\u00e1mol\u00f3g\u00e9pek \u00e9s kalkul\u00e1torok gy\u0171jtem\u00e9nye<\/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:\/\/xn--szmolgp-iwa0f0e.hu\/de\/standardabweichungsrechner-statistische-berechnungen-und-datenanalyse\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Sz\u00f3r\u00e1s Kalkul\u00e1tor - Statisztikai Sz\u00e1m\u00edt\u00e1sok \u00e9s Adatelemz\u00e9s - Sz\u00e1mol\u00f3g\u00e9pek \u00e9s kalkul\u00e1torok gy\u0171jtem\u00e9nye\" \/>\n<meta property=\"og:description\" content=\"Sz\u00f3r\u00e1s Kalkul\u00e1tor &#8211; Statisztikai Sz\u00e1m\u00edt\u00e1sok \u00e9s Adatelemz\u00e9s Professzion\u00e1lis sz\u00f3r\u00e1s kalkul\u00e1tor statisztikai sz\u00e1m\u00edt\u00e1sokhoz, adatelemz\u00e9shez \u00e9s sz\u00f3r\u00e1s sz\u00e1m\u00edt\u00e1sokhoz. 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