{"id":874,"date":"2023-07-28T11:17:01","date_gmt":"2023-07-28T11:17:01","guid":{"rendered":"https:\/\/statorials.org\/pl\/rownomierna-dystrybucja-excel\/"},"modified":"2023-07-28T11:17:01","modified_gmt":"2023-07-28T11:17:01","slug":"rownomierna-dystrybucja-excel","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/rownomierna-dystrybucja-excel\/","title":{"rendered":"Jak korzysta\u0107 z rozk\u0142adu r\u00f3wnomiernego w programie excel"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/pl\/rownomierny-rozk\u0142ad\/\" target=\"_blank\" rel=\"noopener\">Rozk\u0142ad r\u00f3wnomierny<\/a> to rozk\u0142ad prawdopodobie\u0144stwa, w kt\u00f3rym ka\u017cda warto\u015b\u0107 z przedzia\u0142u od <em>a<\/em> do <em>b<\/em> ma takie samo prawdopodobie\u0144stwo wybrania.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Prawdopodobie\u0144stwo otrzymania warto\u015bci pomi\u0119dzy x <sub>1<\/sub> a x <sub>2<\/sub> w przedziale od <em>a<\/em> do <em>b<\/em> mo\u017cna obliczy\u0107 korzystaj\u0105c ze wzoru:<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(uzyskaj warto\u015b\u0107 pomi\u0119dzy x <sub>1<\/sub> a x <sub>2<\/sub> ) = (x <sub>2<\/sub> \u2013 x <sub>1<\/sub> ) \/ (b \u2013 a)<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1565 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/uniforme_pic.jpg\" sizes=\"auto, \" srcset=\"\" alt=\"Przyk\u0142ad rozk\u0142adu r\u00f3wnomiernego\" width=\"336\" height=\"203\"><\/p>\n<p> <span style=\"color: #000000;\">Rozk\u0142ad r\u00f3wnomierny ma nast\u0119puj\u0105ce w\u0142a\u015bciwo\u015bci:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u015arednia rozk\u0142adu wynosi <strong>\u03bc<\/strong> = (a + b) \/ 2<\/span><\/li>\n<li> <span style=\"color: #000000;\">Wariancja rozk\u0142adu wynosi <strong>\u03c3 <sup>2<\/sup><\/strong> = (b \u2013 a) <sup>2<\/sup> \/ 12<\/span><\/li>\n<li> <span style=\"color: #000000;\">Odchylenie standardowe rozk\u0142adu wynosi <strong>\u03c3<\/strong> = \u221a\u03c3 <sup>2<\/sup><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Poni\u017csze przyk\u0142ady pokazuj\u0105, jak obliczy\u0107 prawdopodobie\u0144stwa rozk\u0142ad\u00f3w jednostajnych w programie Excel.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Uwaga:<\/strong> mo\u017cesz sprawdzi\u0107 rozwi\u0105zanie ka\u017cdego poni\u017cszego przyk\u0142adu, korzystaj\u0105c z kalkulatora rozk\u0142adu jednolitego.<\/span><\/p>\n<h3> <strong>Przyk\u0142ady: Jednolita dystrybucja w programie Excel<\/strong><\/h3>\n<p> <span style=\"color: #000000;\"><strong>Przyk\u0142ad 1:<\/strong> <i>Autobus przyje\u017cd\u017ca na przystanek co 20 minut. Je\u015bli dotrzesz na przystanek autobusowy, jakie jest prawdopodobie\u0144stwo, \u017ce autobus przyjedzie za 8 minut lub szybciej?<\/i><\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\"><strong>Rozwi\u0105zanie:<\/strong><\/span><\/p>\n<ul>\n<li data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">o: 0 minut<\/span><\/li>\n<li data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">B: 20 minut<\/span><\/li>\n<li data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">x <sub>1<\/sub> : 0 minut<\/span><\/li>\n<li data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\"><sub>x2<\/sub> : 8 minut<\/span> <\/li>\n<\/ul>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9461 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/uniformexcel1.png\" alt=\"Jednolita dystrybucja w programie Excel\" width=\"533\" height=\"327\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Prawdopodobie\u0144stwo, \u017ce autobus przyjedzie za maksymalnie 8 minut, wynosi <strong>0,4<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Przyk\u0142ad 2:<\/strong> <i>Masa pewnego gatunku \u017caby rozk\u0142ada si\u0119 r\u00f3wnomiernie pomi\u0119dzy 15 a 25 gram\u00f3w. Je\u015bli wybierzesz losowo \u017cab\u0119, jakie jest prawdopodobie\u0144stwo, \u017ce wa\u017cy ona od 17 do 19 gram\u00f3w?<\/i><\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\"><strong>Rozwi\u0105zanie:<\/strong><\/span><\/p>\n<ul>\n<li data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">Odp.: 15 gram\u00f3w<\/span><\/li>\n<li data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">b: 25 gram\u00f3w<\/span><\/li>\n<li data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">x <sub>1<\/sub> : 17 gram\u00f3w<\/span><\/li>\n<li data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">x <sub>2<\/sub> : 19 gram\u00f3w<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9462 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/uniformexcel2.png\" alt=\"Przyk\u0142ad prawdopodobie\u0144stwa o r\u00f3wnomiernym rozk\u0142adzie w programie Excel\" width=\"533\" height=\"318\" srcset=\"\" sizes=\"auto, \"><\/span><\/p>\n<p> <span style=\"color: #000000;\">Prawdopodobie\u0144stwo, \u017ce \u017caba wa\u017cy od 17 do 19 gram\u00f3w, wynosi <strong>0,2<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Przyk\u0142ad 3:<\/strong> <em>Czas trwania meczu NBA rozk\u0142ada si\u0119 r\u00f3wnomiernie i wynosi od 120 do 170 minut. Jakie jest prawdopodobie\u0144stwo, \u017ce losowo wybrany mecz NBA b\u0119dzie trwa\u0142 d\u0142u\u017cej ni\u017c 150 minut?<\/em><\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\"><strong>Rozwi\u0105zanie:<\/strong><\/span><\/p>\n<ul>\n<li data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">jeden: 120 minut<\/span><\/li>\n<li data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">B: 170 minut<\/span><\/li>\n<li data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">x <sub>1<\/sub> : 150 minut<\/span><\/li>\n<li data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\"><sub>x2<\/sub> : 170 minut<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9464 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/uniformexcel3.png\" alt=\"R\u00f3wnomierne prawdopodobie\u0144stwa rozk\u0142adu w programie Excel\" width=\"532\" height=\"320\" srcset=\"\" sizes=\"auto, \"><\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">Prawdopodobie\u0144stwo, \u017ce losowo wybrany mecz NBA trwa d\u0142u\u017cej ni\u017c 150 minut, wynosi <strong>0,4<\/strong> .<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\"><em>Wi\u0119cej samouczk\u00f3w dotycz\u0105cych Excela znajdziesz na <a href=\"https:\/\/statorials.org\">tej stronie<\/a> .<\/em><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Rozk\u0142ad r\u00f3wnomierny to rozk\u0142ad prawdopodobie\u0144stwa, w kt\u00f3rym ka\u017cda warto\u015b\u0107 z przedzia\u0142u od a do b ma takie samo prawdopodobie\u0144stwo wybrania. Prawdopodobie\u0144stwo otrzymania warto\u015bci pomi\u0119dzy x 1 a x 2 w przedziale od a do b mo\u017cna obliczy\u0107 korzystaj\u0105c ze wzoru: P(uzyskaj warto\u015b\u0107 pomi\u0119dzy x 1 a x 2 ) = (x 2 \u2013 x 1 [&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-874","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>Jak korzysta\u0107 z rozk\u0142adu r\u00f3wnomiernego w Excelu \u2013 Statorials<\/title>\n<meta name=\"description\" content=\"Proste wyja\u015bnienie, jak u\u017cywa\u0107 rozk\u0142adu r\u00f3wnomiernego w programie Excel do obliczania prawdopodobie\u0144stw.\" \/>\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\/rownomierna-dystrybucja-excel\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak korzysta\u0107 z rozk\u0142adu r\u00f3wnomiernego w Excelu \u2013 Statorials\" \/>\n<meta property=\"og:description\" content=\"Proste wyja\u015bnienie, jak u\u017cywa\u0107 rozk\u0142adu r\u00f3wnomiernego w programie Excel do obliczania prawdopodobie\u0144stw.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/rownomierna-dystrybucja-excel\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T11:17:01+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/uniforme_pic.jpg\" \/>\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=\"2 minuty\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/rownomierna-dystrybucja-excel\/\",\"url\":\"https:\/\/statorials.org\/pl\/rownomierna-dystrybucja-excel\/\",\"name\":\"Jak korzysta\u0107 z rozk\u0142adu r\u00f3wnomiernego w Excelu \u2013 Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-28T11:17:01+00:00\",\"dateModified\":\"2023-07-28T11:17:01+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"Proste wyja\u015bnienie, jak u\u017cywa\u0107 rozk\u0142adu r\u00f3wnomiernego w programie Excel do obliczania prawdopodobie\u0144stw.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/rownomierna-dystrybucja-excel\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/rownomierna-dystrybucja-excel\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/rownomierna-dystrybucja-excel\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak korzysta\u0107 z rozk\u0142adu r\u00f3wnomiernego w programie excel\"}]},{\"@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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