{"id":1984,"date":"2023-07-24T04:54:33","date_gmt":"2023-07-24T04:54:33","guid":{"rendered":"https:\/\/statorials.org\/pl\/wykresl-rozklad-rownomierny-w-r\/"},"modified":"2023-07-24T04:54:33","modified_gmt":"2023-07-24T04:54:33","slug":"wykresl-rozklad-rownomierny-w-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/wykresl-rozklad-rownomierny-w-r\/","title":{"rendered":"Jak wykre\u015bli\u0107 rozk\u0142ad r\u00f3wnomierny w r"},"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 w przedziale od <em>a<\/em> do <em>b<\/em> ma to samo prawdopodobie\u0144stwo wyst\u0105pienia.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Je\u017celi <a href=\"https:\/\/statorials.org\/pl\/zmienne-losowe\/\" target=\"_blank\" rel=\"noopener\">zmienna losowa<\/a> <em>X<\/em> ma rozk\u0142ad r\u00f3wnomierny, w\u00f3wczas prawdopodobie\u0144stwo, \u017ce <em>X<\/em> przyjmie warto\u015b\u0107 z zakresu od <em>x <sub>1<\/sub><\/em> do <em>x<\/em> <sub>2<\/sub> , mo\u017cna obliczy\u0107 za pomoc\u0105 nast\u0119puj\u0105cego wzoru:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(x <sub>1<\/sub> &lt; X &lt; x <sub>2<\/sub> ) = (x <sub>2<\/sub> \u2013 x <sub>1<\/sub> ) \/ (b \u2013 a)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Z\u0142oto:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>1<\/sub> :<\/strong> dolna warto\u015b\u0107 odsetek<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>2<\/sub> :<\/strong> g\u00f3rna warto\u015b\u0107 zainteresowania<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>a:<\/strong> minimalna mo\u017cliwa warto\u015b\u0107<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>b:<\/strong> maksymalna mo\u017cliwa warto\u015b\u0107<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Poni\u017csze przyk\u0142ady pokazuj\u0105, jak wykre\u015bli\u0107 rozk\u0142ad r\u00f3wnomierny w R.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Przyk\u0142ad 1: Wykre\u015blanie podstawowego rozk\u0142adu r\u00f3wnomiernego w R<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak wykre\u015bli\u0107 podstawowy rozk\u0142ad r\u00f3wnomierny w R:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define x-axis\n<\/span>x &lt;- seq(-4, 4, length=100)\n\n<span style=\"color: #008080;\">#calculate uniform distribution probabilities\n<\/span>y &lt;- dunif(x, min = -3, max = 3)\n\n<span style=\"color: #008080;\">#plot uniform distribution\n<\/span>plot(x, y, type = ' <span style=\"color: #ff0000;\">l<\/span> ')\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-18722\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/traceuniforme1.png\" alt=\"\" width=\"437\" height=\"398\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">O\u015b x wy\u015bwietla potencjalne warto\u015bci zmiennej losowej, kt\u00f3ra ma rozk\u0142ad r\u00f3wnomierny, natomiast o\u015b y pokazuje prawdopodobie\u0144stwo, \u017ce zmienna losowa przyjmie te warto\u015bci.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Uwaga<\/strong> : Funkcja <strong>dunif()<\/strong> w R s\u0142u\u017cy do obliczania g\u0119sto\u015bci rozk\u0142adu r\u00f3wnomiernego, przy danej warto\u015bci minimalnej i maksymalnej.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Przyk\u0142ad 2: Wykre\u015bl niestandardowy rozk\u0142ad r\u00f3wnomierny w R<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak wykre\u015bli\u0107 podstawowy rozk\u0142ad r\u00f3wnomierny w R, a tak\u017ce jak zmieni\u0107 tytu\u0142, etykiety osi i kolory:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #000000;\"><span style=\"color: #008080;\">#define x-axis\n<\/span>x &lt;- seq(-4, 4, length=100)\n\n<span style=\"color: #008080;\">#calculate uniform distribution probabilities\n<\/span>y &lt;- dunif(x, min = -3, max = 3)\n\n<span style=\"color: #008080;\">#plot uniform distribution\n<\/span>plot(x, y, type = ' <span style=\"color: #ff0000;\">l<\/span> ', lwd = <span style=\"color: #008000;\">3<\/span> , ylim = c(0, .2), col=' <span style=\"color: #ff0000;\">blue<\/span> ',\n     xlab=' <span style=\"color: #ff0000;\">x<\/span> ', ylab=' <span style=\"color: #ff0000;\">Probability<\/span> ', main=' <span style=\"color: #ff0000;\">Uniform Distribution Plot<\/span> ')\n<\/span><\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-18723 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/traceuniforme2.png\" alt=\"\" width=\"436\" height=\"415\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017csze samouczki wyja\u015bniaj\u0105, jak wykre\u015bli\u0107 inne rozk\u0142ady w R:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pl\/wykresl-rozk\u0142ad-normalny-r\/\" target=\"_blank\" rel=\"noopener\">Jak wykre\u015bli\u0107 rozk\u0142ad normalny w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/wykresl-rozk\u0142ad-chi-kwadrat-w-r\/\" target=\"_blank\" rel=\"noopener\">Jak wykre\u015bli\u0107 rozk\u0142ad chi-kwadrat w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/wykres-rozmieszczenia-ryb-r\/\" target=\"_blank\" rel=\"noopener\">Jak wykre\u015bli\u0107 rozk\u0142ad Poissona w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/wykresl-rozk\u0142ad-dwumianowy-r\/\" target=\"_blank\" rel=\"noopener\">Jak wykre\u015bli\u0107 rozk\u0142ad dwumianowy w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/wykresl-rozk\u0142ad-wyk\u0142adniczy-w-r\/\" target=\"_blank\" rel=\"noopener\">Jak wykre\u015bli\u0107 rozk\u0142ad wyk\u0142adniczy w R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Rozk\u0142ad r\u00f3wnomierny to rozk\u0142ad prawdopodobie\u0144stwa, w kt\u00f3rym ka\u017cda warto\u015b\u0107 w przedziale od a do b ma to samo prawdopodobie\u0144stwo wyst\u0105pienia. Je\u017celi zmienna losowa X ma rozk\u0142ad r\u00f3wnomierny, w\u00f3wczas prawdopodobie\u0144stwo, \u017ce X przyjmie warto\u015b\u0107 z zakresu od x 1 do x 2 , mo\u017cna obliczy\u0107 za pomoc\u0105 nast\u0119puj\u0105cego wzoru: P(x 1 &lt; X &lt; x 2 [&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-1984","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 wykre\u015bli\u0107 rozk\u0142ad r\u00f3wnomierny w R - Statology<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, na przyk\u0142adzie, jak wykre\u015bli\u0107 rozk\u0142ad r\u00f3wnomierny w j\u0119zyku R.\" \/>\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\/wykresl-rozklad-rownomierny-w-r\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak wykre\u015bli\u0107 rozk\u0142ad r\u00f3wnomierny w R - Statology\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, na przyk\u0142adzie, jak wykre\u015bli\u0107 rozk\u0142ad r\u00f3wnomierny w j\u0119zyku R.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/wykresl-rozklad-rownomierny-w-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-24T04:54:33+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/traceuniforme1.png\" \/>\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\/wykresl-rozklad-rownomierny-w-r\/\",\"url\":\"https:\/\/statorials.org\/pl\/wykresl-rozklad-rownomierny-w-r\/\",\"name\":\"Jak wykre\u015bli\u0107 rozk\u0142ad r\u00f3wnomierny w R - Statology\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-24T04:54:33+00:00\",\"dateModified\":\"2023-07-24T04:54:33+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, na przyk\u0142adzie, jak wykre\u015bli\u0107 rozk\u0142ad r\u00f3wnomierny w j\u0119zyku R.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/wykresl-rozklad-rownomierny-w-r\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/wykresl-rozklad-rownomierny-w-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/wykresl-rozklad-rownomierny-w-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak wykre\u015bli\u0107 rozk\u0142ad r\u00f3wnomierny w r\"}]},{\"@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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