{"id":10644,"date":"2025-07-15T13:34:50","date_gmt":"2025-07-15T13:34:50","guid":{"rendered":"https:\/\/functiontranslator.com\/normalizuj\/"},"modified":"2021-02-26T05:25:00","modified_gmt":"2021-02-26T05:25:00","slug":"standardize","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/pl\/standardize\/","title":{"rendered":"NORMALIZUJ"},"content":{"rendered":"<h2>Opis funkcji i zastosowanie<\/h2>\n<p> Funkcja <strong>STANDARDIZE<\/strong> (w polskiej wersji funkcja <strong>NORMALIZUJ<\/strong>) umo\u017cliwia standardyzacj\u0119 warto\u015bci statystycznych, co oznacza przekszta\u0142cenie zmiennej tak, aby mia\u0142a \u015bredni\u0105 r\u00f3wn\u0105 0 i odchylenie standardowe r\u00f3wne 1. Jest to przydatne narz\u0119dzie w analizie danych i statystyce, kt\u00f3re znajduje zastosowanie w programach Microsoft Excel oraz Google Arkusz. <\/p>\n<h2>Syntaktyka i przyk\u0142ady<\/h2>\n<p>Syntaktyka funkcji prezentuje si\u0119 nast\u0119puj\u0105co:<\/p>\n<pre><code>=NORMALIZUJ(x, \u015brednia, odchylenie_std)<\/code><\/pre>\n<ul>\n<li><strong>x<\/strong> &#8211; warto\u015b\u0107 do znormalizowania.<\/li>\n<li><strong>\u015brednia<\/strong> &#8211; \u015brednia warto\u015bci ze zbioru danych, z kt\u00f3rego pochodzi <strong>x<\/strong>.<\/li>\n<li><strong>odchylenie_std<\/strong> &#8211; odchylenie standardowe od warto\u015bci w zestawie danych.<\/li>\n<\/ul>\n<p> Przyk\u0142adowo, je\u017celi mamy zestaw danych z wynikami test\u00f3w i chcemy znormalizowa\u0107 wynik 85, przy \u015bredniej wynik\u00f3w wynosz\u0105cej 75 i odchyleniu standardowym 10, funkcja b\u0119dzie wygl\u0105da\u0107 tak: <\/p>\n<pre><code>=NORMALIZUJ(85, 75, 10)<\/code><\/pre>\n<p> Wynik tej funkcji to 1, co oznacza, \u017ce wynik 85 jest o jedno odchylenie standardowe wy\u017cej ni\u017c \u015brednia. <\/p>\n<h2>Zastosowanie w rozwi\u0105zywaniu problem\u00f3w<\/h2>\n<h3>Zadanie 1: Analiza wynik\u00f3w egzamin\u00f3w<\/h3>\n<p> Za\u0142\u00f3\u017cmy, \u017ce nauczyciel chce oceni\u0107 wyniki uczni\u00f3w w kontek\u015bcie ca\u0142ej klasy i zidentyfikowa\u0107, kto osi\u0105gn\u0105\u0142 wyniki powy\u017cej jednego odchylenia standardowego. Oto dane: <\/p>\n<ul>\n<li>Wyniki egzamin\u00f3w: 70, 75, 80, 85, 90, 95<\/li>\n<li>\u015arednia wynik\u00f3w: 82.5<\/li>\n<li>Odchylenie standardowe: 8.539<\/li>\n<\/ul>\n<p>Nauczyciel mo\u017ce przy u\u017cyciu funkcji NORMALIZUJ przeliczy\u0107 ka\u017cdy z wynik\u00f3w:<\/p>\n<pre><code>=NORMALIZUJ(70, 82.5, 8.539) = -1.47 =NORMALIZUJ(75, 82.5, 8.539) = -0.88 =NORMALIZUJ(80, 82.5, 8.539) = -0.29 =NORMALIZUJ(85, 82.5, 8.539) = 0.29 =NORMALIZUJ(90, 82.5, 8.539) = 0.88 =NORMALIZUJ(95, 82.5, 8.539) = 1.47<\/code><\/pre>\n<p> Wynik wi\u0119kszy ni\u017c 1 wskazuje na wyj\u0105tkowe osi\u0105gni\u0119cia, w tym przypadku 95 punkt\u00f3w. <\/p>\n<h3>Zadanie 2: Standardyzacja danych do analizy<\/h3>\n<p> Analityk, chc\u0105c przygotowa\u0107 dane szczeg\u00f3\u0142owe do modele predykcyjnego, potrzebuje znormalizowa\u0107 wiek uczestnik\u00f3w. Dane: <\/p>\n<ul>\n<li>Wiek uczestnik\u00f3w: 22, 35, 45, 28, 60, 27<\/li>\n<li>\u015arednia wieku: 36.17<\/li>\n<li>Odchylenie standardowe wieku: 13.6<\/li>\n<\/ul>\n<p>Wykorzystuj\u0105c funkcj\u0119 NORMALIZUJ:<\/p>\n<pre><code>=NORMALIZUJ(22, 36.17, 13.6) = -1.041 =NORMALIZUJ(35, 36.17, 13.6) = -0.086 =NORMALIZUJ(45, 36.17, 13.6) = 0.648 =NORMALIZUJ(28, 36.17, 13.6) = -0.599 =NORMALIZUJ(60, 36.17, 13.6) = 1.75 =NORMALIZUJ(27, 36.17, 13.6) = -0.673<\/code><\/pre>\n<p> Te przeliczone warto\u015bci stanowi\u0105 doskona\u0142\u0105 baz\u0119 do dalszych analiz i budowy modeli predykcyjnych. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Zwraca warto\u015b\u0107 znormalizowan\u0105<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[428],"tags":[],"class_list":["post-10644","post","type-post","status-publish","format-standard","hentry","category-statystyczne"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Funkcja STANDARDIZE (NORMALIZUJ) w Excelu \u2013 jak dzia\u0142a, przyk\u0142ady u\u017cycia i sk\u0142adnia<\/title>\n<meta name=\"description\" content=\"Opis funkcji STANDARDIZE (NORMALIZUJ) w Excelu. 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