{"id":4845,"date":"2023-07-07T07:45:59","date_gmt":"2023-07-07T07:45:59","guid":{"rendered":"https:\/\/statorials.org\/pl\/odchylenie-standardowe-rozkladu-czestotliwosci-w-programie-excel\/"},"modified":"2023-07-07T07:45:59","modified_gmt":"2023-07-07T07:45:59","slug":"odchylenie-standardowe-rozkladu-czestotliwosci-w-programie-excel","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/odchylenie-standardowe-rozkladu-czestotliwosci-w-programie-excel\/","title":{"rendered":"Excel: oblicz odchylenie standardowe rozk\u0142adu cz\u0119stotliwo\u015bci"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Cz\u0119sto mo\u017cesz chcie\u0107 obliczy\u0107 odchylenie standardowe rozk\u0142adu cz\u0119stotliwo\u015bci w Excelu.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Za\u0142\u00f3\u017cmy na przyk\u0142ad, \u017ce masz nast\u0119puj\u0105cy rozk\u0142ad cz\u0119stotliwo\u015bci:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-37845 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/fre1.png\" alt=\"\" width=\"459\" height=\"362\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Poni\u017cszy przyk\u0142ad pokazuje krok po kroku, jak obliczy\u0107 odchylenie standardowe tego rozk\u0142adu cz\u0119stotliwo\u015bci w programie Excel.<\/span><\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Krok 1: Wprowad\u017a warto\u015bci rozk\u0142adu cz\u0119stotliwo\u015bci<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Najpierw wprowadzimy ograniczenia klas i warto\u015bci cz\u0119stotliwo\u015bci dla naszego rozk\u0142adu cz\u0119stotliwo\u015bci:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-37845 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/fre1.png\" alt=\"\" width=\"459\" height=\"362\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Krok 2: Oblicz \u015bredni\u0105 rozk\u0142adu cz\u0119stotliwo\u015bci<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Mo\u017cemy u\u017cy\u0107 nast\u0119puj\u0105cego wzoru, aby oszacowa\u0107 \u015bredni\u0105 naszego rozk\u0142adu cz\u0119stotliwo\u015bci:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u015arednia:<\/strong> \u03a3m <sub>i<\/sub> n <sub>i<\/sub> \/ N<\/span><\/p>\n<p> <span style=\"color: #000000;\">Z\u0142oto:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><sub>mi<\/sub> :<\/strong> \u015arodek i- <sup>tej<\/sup> grupy<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n <sub>i<\/sub> :<\/strong> Cz\u0119stotliwo\u015b\u0107 i- <sup>tej<\/sup> grupy<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N:<\/strong> Ca\u0142kowity rozmiar pr\u00f3bki<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Aby zastosowa\u0107 t\u0119 formu\u0142\u0119 w Excelu, w kom\u00f3rkach <strong>D2<\/strong> , <strong>E2<\/strong> i <strong>F2<\/strong> wpiszemy nast\u0119puj\u0105ce formu\u0142y:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>D2<\/strong> : =\u015aREDNIA(A2:B2)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>E2<\/strong> : =D2*C2<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>F2<\/strong> : =SUMA($E$2:$E$6)\/SUMA($C$2:$C$6)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Nast\u0119pnie klikniemy i przeci\u0105gniemy te formu\u0142y do pozosta\u0142ych kom\u00f3rek w ka\u017cdej kolumnie:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-37847 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/fre2-1.png\" alt=\"\" width=\"652\" height=\"257\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Krok 3: Oblicz odchylenie standardowe rozk\u0142adu cz\u0119stotliwo\u015bci<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Mo\u017cemy u\u017cy\u0107 nast\u0119puj\u0105cego wzoru do oszacowania odchylenia standardowego naszego rozk\u0142adu cz\u0119stotliwo\u015bci:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Odchylenie standardowe:<\/strong> \u221a <span style=\"border-top: 1px solid black;\">\u03a3n <sub>i<\/sub> (m <sub>i<\/sub> -\u03bc) <sup>2<\/sup> \/ (N-1)<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Z\u0142oto:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n <sub>i<\/sub> :<\/strong> Cz\u0119stotliwo\u015b\u0107 i- <sup>tej<\/sup> grupy<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>mi<\/sub> :<\/strong> \u015arodek i- <sup>tej<\/sup> grupy<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u00b5<\/strong> : \u015arednia<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N:<\/strong> Ca\u0142kowity rozmiar pr\u00f3bki<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Aby zastosowa\u0107 t\u0119 formu\u0142\u0119 w Excelu, wpiszemy w kom\u00f3rkach <strong>G2<\/strong> , <strong>H2<\/strong> i <strong>I2<\/strong> nast\u0119puj\u0105ce formu\u0142y:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>G2<\/strong> : =D2-F2<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H2<\/strong> : =G2^2<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>I2<\/strong> : =C2*H2<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Nast\u0119pnie klikniemy i przeci\u0105gniemy te formu\u0142y do pozosta\u0142ych kom\u00f3rek w ka\u017cdej kolumnie:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-37848 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/fre3.png\" alt=\"\" width=\"665\" height=\"228\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Na koniec mo\u017cemy wpisa\u0107 nast\u0119puj\u0105c\u0105 formu\u0142\u0119 w kom\u00f3rce <strong>B8<\/strong> , aby obliczy\u0107 odchylenie standardowe tego rozk\u0142adu cz\u0119stotliwo\u015bci:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 17px;\"> <strong>=SQRT(SUM( <span style=\"color: #3366ff;\">I2:I6<\/span> )\/(SUM( <span style=\"color: #ff0000;\">C2:C6<\/span> )-1))\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Poni\u017cszy zrzut ekranu pokazuje, jak zastosowa\u0107 t\u0119 formu\u0142\u0119 w praktyce:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-37849\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/fre4.png\" alt=\"Odchylenie standardowe rozk\u0142adu cz\u0119stotliwo\u015bci w programie Excel\" width=\"669\" height=\"272\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Odchylenie standardowe tego rozk\u0142adu cz\u0119stotliwo\u015bci wynosi <strong>9,6377<\/strong> .<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Poni\u017csze samouczki wyja\u015bniaj\u0105, jak wykonywa\u0107 inne typowe zadania w programie Excel:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/pl\/zgrupowany-rozk\u0142ad-czestotliwosci-excel\/\" target=\"_blank\" rel=\"noopener\">Jak utworzy\u0107 klastrowany rozk\u0142ad cz\u0119stotliwo\u015bci w programie Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/procentowy-rozk\u0142ad-czestotliwosci-excel\/\" target=\"_blank\" rel=\"noopener\">Jak utworzy\u0107 procentowy rozk\u0142ad cz\u0119stotliwo\u015bci w programie Excel<\/a><br \/><a href=\"https:\/\/statorials.org\/pl\/skumulowana-czestotliwosc-excel\/\" target=\"_blank\" rel=\"noopener\">Jak obliczy\u0107 skumulowan\u0105 cz\u0119stotliwo\u015b\u0107 w programie Excel<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Cz\u0119sto mo\u017cesz chcie\u0107 obliczy\u0107 odchylenie standardowe rozk\u0142adu cz\u0119stotliwo\u015bci w Excelu. Za\u0142\u00f3\u017cmy na przyk\u0142ad, \u017ce masz nast\u0119puj\u0105cy rozk\u0142ad cz\u0119stotliwo\u015bci: Poni\u017cszy przyk\u0142ad pokazuje krok po kroku, jak obliczy\u0107 odchylenie standardowe tego rozk\u0142adu cz\u0119stotliwo\u015bci w programie Excel. Krok 1: Wprowad\u017a warto\u015bci rozk\u0142adu cz\u0119stotliwo\u015bci Najpierw wprowadzimy ograniczenia klas i warto\u015bci cz\u0119stotliwo\u015bci dla naszego rozk\u0142adu cz\u0119stotliwo\u015bci: Krok 2: Oblicz \u015bredni\u0105 [&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-4845","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>Excel: Oblicz odchylenie standardowe rozk\u0142adu cz\u0119stotliwo\u015bci - Statologia<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, na przyk\u0142adzie, jak obliczy\u0107 odchylenie standardowe rozk\u0142adu cz\u0119stotliwo\u015bci w programie Excel.\" \/>\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\/odchylenie-standardowe-rozkladu-czestotliwosci-w-programie-excel\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Excel: Oblicz odchylenie standardowe rozk\u0142adu cz\u0119stotliwo\u015bci - 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