{"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":"kalkulator-odchylenia-standardowego-obliczenia-statystyczne-i-analiza-danych","status":"publish","type":"page","link":"https:\/\/xn--szmolgp-iwa0f0e.hu\/pl\/szoras-kalkulator-statisztikai-szamitasok-es-adatelemzes\/","title":{"rendered":"Odchylenie standardowe Kalkulator \u2013 Obliczenia statystyczne i analiza danych"},"content":{"rendered":"<h1 class=\"wp-block-heading has-text-align-center\" style=\"margin-bottom:2rem\">Odchylenie standardowe Kalkulator \u2013 Obliczenia statystyczne i analiza danych<\/h1>\n<p class=\"has-text-align-center\" style=\"margin-bottom:3rem\">Profesjonalny kalkulator odchylenia standardowego do oblicze\u0144 statystycznych, analizy danych i oblicze\u0144 odchylenia standardowego. Idealny wyb\u00f3r dla student\u00f3w, statystyk\u00f3w i badaczy.<\/p>\n<div class=\"szoras-kalkulator-container\" data-theme=\"light\" style=\"--calculator-width: 100%; --calculator-height: auto;\">\n<div class=\"calculator\">\n<h2>Kalkulator Odchylenia Standardowego<\/h2>\n<p class=\"calculator-description\">Obliczenia statystyczne, odchylenie standardowe i analiza danych<\/p>\n<div class=\"input-section\">\n<div class=\"calculation-type\">\n<h3>Typ oblicze\u0144<\/h3>\n<p>                <select id=\"szorasType\" class=\"form-control\"><option value=\"population\">Odchylenie standardowe populacji<\/option><option value=\"sample\">Odchylenie standardowe pr\u00f3bki<\/option><option value=\"variance\">Wariancja<\/option><\/select>\n            <\/div>\n<div class=\"input-group\">\n                <label for=\"szorasData\">Dane (oddzielone przecinkami):<\/label><br \/>\n                <textarea id=\"szorasData\" class=\"form-control\" rows=\"4\" placeholder=\"Na przyk\u0142ad: 10, 15, 20, 25, 30\"><\/textarea>\n            <\/div>\n<p>            <button type=\"button\" id=\"szorasCalculate\" class=\"btn btn-primary\">Obliczenie<\/button><br \/>\n            <button type=\"button\" id=\"szorasReset\" class=\"btn btn-secondary\">Kasowanie<\/button>\n        <\/div>\n<div class=\"result-section\" id=\"szorasResult\" style=\"display: none;\">\n<h3>Wynik<\/h3>\n<div class=\"result-display\">\n<div class=\"result-item\">\n                    <span class=\"result-label\">\u015arednia:<\/span><br \/>\n                    <span class=\"result-value\" id=\"szorasMean\">\u2013<\/span>\n                <\/div>\n<div class=\"result-item\">\n                    <span class=\"result-label\">Wariancja:<\/span><br \/>\n                    <span class=\"result-value\" id=\"szorasVariance\">\u2013<\/span>\n                <\/div>\n<div class=\"result-item\">\n                    <span class=\"result-label\">Odchylenie standardowe:<\/span><br \/>\n                    <span class=\"result-value\" id=\"szorasStdDev\">\u2013<\/span>\n                <\/div>\n<div class=\"result-item\">\n                    <span class=\"result-label\">Liczba danych:<\/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>Informacje<\/h3>\n<ul>\n<li><strong>Odchylenie standardowe populacji:<\/strong> odchylenie standardowe ca\u0142ej populacji<\/li>\n<li><strong>Odchylenie standardowe pr\u00f3bki:<\/strong> odchylenie standardowe pr\u00f3bki (dzielone przez n-1)<\/li>\n<li><strong>Wariancja:<\/strong> kwadrat odchylenia standardowego<\/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=\"Kalkulator Odchylenia Standardowego \u2013 Obliczenia Statystyczne i Analiza Danych\" class=\"read-more\" href=\"https:\/\/xn--szmolgp-iwa0f0e.hu\/pl\/szoras-kalkulator-statisztikai-szamitasok-es-adatelemzes\/\" aria-label=\"Dowiedz si\u0119 wi\u0119cej o Sz\u00f3r\u00e1s Kalkul\u00e1tor &#8211; Statisztikai Sz\u00e1m\u00edt\u00e1sok \u00e9s Adatelemz\u00e9s\">Dowiedz si\u0119 wi\u0119cej<\/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 v28.6 - 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\u00e9p.hu<\/title>\n<meta name=\"description\" content=\"Sz\u00f3r\u00e1s Kalkul\u00e1tor - 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\" \/>\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\/pl\/kalkulator-odchylenia-standardowego-obliczenia-statystyczne-i-analiza-danych\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\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\u00e9p.hu\" \/>\n<meta property=\"og:description\" content=\"Sz\u00f3r\u00e1s Kalkul\u00e1tor - 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\" \/>\n<meta property=\"og:url\" content=\"https:\/\/xn--szmolgp-iwa0f0e.hu\/pl\/kalkulator-odchylenia-standardowego-obliczenia-statystyczne-i-analiza-danych\/\" \/>\n<meta property=\"og:site_name\" content=\"Sz\u00e1mol\u00f3g\u00e9pek \u00e9s kalkul\u00e1torok gy\u0171jtem\u00e9nye\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minuta\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/xn--szmolgp-iwa0f0e.hu\\\/szoras-kalkulator-statisztikai-szamitasok-es-adatelemzes\\\/\",\"url\":\"https:\\\/\\\/xn--szmolgp-iwa0f0e.hu\\\/szoras-kalkulator-statisztikai-szamitasok-es-adatelemzes\\\/\",\"name\":\"Sz\u00f3r\u00e1s Kalkul\u00e1tor - Statisztikai Sz\u00e1m\u00edt\u00e1sok \u00e9s Adatelemz\u00e9s - Sz\u00e1mol\u00f3g\u00e9p.hu\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/xn--szmolgp-iwa0f0e.hu\\\/#website\"},\"datePublished\":\"2025-07-21T19:18:21+00:00\",\"description\":\"Sz\u00f3r\u00e1s Kalkul\u00e1tor - 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\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/xn--szmolgp-iwa0f0e.hu\\\/szoras-kalkulator-statisztikai-szamitasok-es-adatelemzes\\\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/xn--szmolgp-iwa0f0e.hu\\\/szoras-kalkulator-statisztikai-szamitasok-es-adatelemzes\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/xn--szmolgp-iwa0f0e.hu\\\/szoras-kalkulator-statisztikai-szamitasok-es-adatelemzes\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Kezd\u0151lap\",\"item\":\"https:\\\/\\\/xn--szmolgp-iwa0f0e.hu\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Sz\u00f3r\u00e1s Kalkul\u00e1tor &#8211; 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