{"id":439,"date":"2023-07-29T22:29:55","date_gmt":"2023-07-29T22:29:55","guid":{"rendered":"https:\/\/statorials.org\/pl\/z-kalkulator-odciecia-wyniku\/"},"modified":"2023-07-29T22:29:55","modified_gmt":"2023-07-29T22:29:55","slug":"z-kalkulator-odciecia-wyniku","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/z-kalkulator-odciecia-wyniku\/","title":{"rendered":"Kalkulator progu wyniku z"},"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 {\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>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\">Dla populacji o rozk\u0142adzie normalnym z dan\u0105 \u015bredni\u0105 ( <b>\u03bc<\/b> ) i odchyleniem standardowym ( <b>\u03c3<\/b> ) kalkulator ten znajduje warto\u015b\u0107, kt\u00f3ra powinna znajdowa\u0107 si\u0119 na <sup>x-tym<\/sup> percentylu lub wy\u017cej.<\/div>\n<div id=\"words_intro\"> Za\u0142\u00f3\u017cmy na przyk\u0142ad, \u017ce wyniki pewnego testu maj\u0105 rozk\u0142ad normalny ze \u015bredni\u0105 85 i odchyleniem standardowym 4. Chcemy wiedzie\u0107, jaki wynik musi uzyska\u0107 ucze\u0144, aby uzyska\u0107 wynik wy\u017cszy ni\u017c 95% wszystkich innych uczni\u00f3w. . Kalkulator ten pozwoli nam znale\u017a\u0107 ten wynik.<\/div>\n<div id=\"words_intro\"> Aby znale\u017a\u0107 warto\u015b\u0107 odci\u0119cia dla danej \u015bredniej populacji, odchylenia standardowego populacji i percentyla, wystarczy wpisa\u0107 poni\u017cej niezb\u0119dne warto\u015bci, a nast\u0119pnie klikn\u0105\u0107 przycisk \u201eOblicz\u201d.<\/div>\n<div id=\"words\"> <label for=\"pop_mean\"><b>\u015arednia populacji (\u03bc)<\/b><\/label><input type=\"number\" id=\"pop_mean\" min=\"0\" value=\"85\"><\/div>\n<div id=\"words\"> <label for=\"pop_sd\"><b>Odchylenie standardowe populacji (\u03c3)<\/b><\/label><input type=\"number\" id=\"pop_sd\" min=\"0\" value=\"4\"><\/div>\n<div id=\"words\"> <label for=\"x\"><b><sup>x-ty<\/sup> percentyl<\/b><\/label> <input type=\"number\" id=\"x\" min=\"0\" value=\"95\"><\/div>\n<div id=\"words\"><input type=\"button\" id=\"button\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div>\n<p> Warto\u015b\u0107 <span id=\"value\"><b>91,57941<\/b><\/span> musi by\u0107 wi\u0119ksza ni\u017c <span id=\"x_out\">95<\/span> % wszystkich pozosta\u0142ych warto\u015bci.<\/p>\n<\/div>\n<hr id=\"hr_top\">\n<div>\n<h2> <b>Wyja\u015bnienie:<\/b><\/h2>\n<\/div>\n<div>\n<p> z = (X \u2013 \u03bc) \/ \u03c3<\/p>\n<\/div>\n<div>\n<p> <span id=\"z_out1\">1,64485<\/span> = (X \u2013 <span id=\"mean_out1\">85<\/span> ) \/ <span id=\"sd_out1\">4<\/span><\/p>\n<\/div>\n<div>\n<p> <span id=\"z_out2\">1,64485<\/span> * <span id=\"sd_out2\">4<\/span> = X \u2013 <span id=\"mean_out2\">85<\/span><\/p>\n<\/div>\n<div>\n<p> ( <span id=\"z_out3\">1,64485<\/span> * <span id=\"sd_out3\">4<\/span> ) + <span id=\"mean_out3\">85<\/span> =<\/p>\n<\/div>\n<div>\n<p> <span id=\"value2\"><b>91,57941<\/b><\/span> =<\/p>\n<\/div>\n<div class=\"content_hint\"><\/div>\n<p><script><\/p>\n<p>function calc() {<\/p>\n<p>\t\/\/get input degrees of freedom, t-value\n\tvar x = document.getElementById('x').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 z-score\n\tvar z = jStat.normal.inv((x\/100), 0, 1);\n\tvar value = (z*pop_sd) - (-pop_mean);<\/p>\n<p>\t\/\/output values\n    document.getElementById('value').innerHTML = \"<b>\" + value.toFixed(5) + \"<\/b>\";\n    document.getElementById('value2').innerHTML = \"<b>\" + value.toFixed(5) + \"<\/b>\";\n\tdocument.getElementById('x_out').innerHTML = x;\n\tdocument.getElementById('z_out1').innerHTML = z.toFixed(5);\n    document.getElementById('z_out2').innerHTML = z.toFixed(5);\n    document.getElementById('z_out3').innerHTML = z.toFixed(5);\n    document.getElementById('sd_out1').innerHTML = pop_sd.toFixed(5);\n    document.getElementById('sd_out2').innerHTML = pop_sd.toFixed(5);\n    document.getElementById('sd_out3').innerHTML = pop_sd.toFixed(5);\n    document.getElementById('mean_out1').innerHTML = pop_mean.toFixed(5);\n    document.getElementById('mean_out2').innerHTML = pop_mean.toFixed(5);\n    document.getElementById('mean_out3').innerHTML = pop_mean.toFixed(5);\n  }<\/p>\n<p><\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dla populacji o rozk\u0142adzie normalnym z dan\u0105 \u015bredni\u0105 ( \u03bc ) i odchyleniem standardowym ( \u03c3 ) kalkulator ten znajduje warto\u015b\u0107, kt\u00f3ra powinna znajdowa\u0107 si\u0119 na x-tym percentylu lub wy\u017cej. Za\u0142\u00f3\u017cmy na przyk\u0142ad, \u017ce wyniki pewnego testu maj\u0105 rozk\u0142ad normalny ze \u015bredni\u0105 85 i odchyleniem standardowym 4. Chcemy wiedzie\u0107, jaki wynik musi uzyska\u0107 ucze\u0144, aby [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-439","post","type-post","status-publish","format-standard","hentry","category-przewodnik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Kalkulator progu wyniku Z \u2014 statystyki<\/title>\n<meta name=\"description\" content=\"Dla populacji o danej \u015bredniej i odchyleniu standardowym kalkulator ten znajduje warto\u015b\u0107, kt\u00f3ra powinna znajdowa\u0107 si\u0119 na x-tym percentylu lub wy\u017cej.\" \/>\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\/pl\/z-kalkulator-odciecia-wyniku\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kalkulator progu wyniku Z \u2014 statystyki\" \/>\n<meta property=\"og:description\" content=\"Dla populacji o danej \u015bredniej i odchyleniu standardowym kalkulator ten znajduje warto\u015b\u0107, kt\u00f3ra powinna znajdowa\u0107 si\u0119 na x-tym percentylu lub wy\u017cej.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/z-kalkulator-odciecia-wyniku\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T22:29:55+00:00\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minuta\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/z-kalkulator-odciecia-wyniku\/\",\"url\":\"https:\/\/statorials.org\/pl\/z-kalkulator-odciecia-wyniku\/\",\"name\":\"Kalkulator progu wyniku Z \u2014 statystyki\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-29T22:29:55+00:00\",\"dateModified\":\"2023-07-29T22:29:55+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"Dla populacji o danej \u015bredniej i odchyleniu standardowym kalkulator ten znajduje warto\u015b\u0107, kt\u00f3ra powinna znajdowa\u0107 si\u0119 na x-tym percentylu lub wy\u017cej.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/z-kalkulator-odciecia-wyniku\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/z-kalkulator-odciecia-wyniku\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/z-kalkulator-odciecia-wyniku\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Kalkulator progu wyniku z\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pl\/#website\",\"url\":\"https:\/\/statorials.org\/pl\/\",\"name\":\"Statorials\",\"description\":\"Tw\u00f3j przewodnik po kompetencjach statystycznych!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\",\"name\":\"Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin Anderson\"},\"description\":\"Cze\u015b\u0107, jestem Benjamin i jestem emerytowanym profesorem statystyki, kt\u00f3ry zosta\u0142 oddanym nauczycielem Statorials. 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