{"id":1280,"date":"2023-07-27T00:52:44","date_gmt":"2023-07-27T00:52:44","guid":{"rendered":"https:\/\/statorials.org\/pl\/bezwzgledne-odchylenie-mediany-w-r\/"},"modified":"2023-07-27T00:52:44","modified_gmt":"2023-07-27T00:52:44","slug":"bezwzgledne-odchylenie-mediany-w-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/bezwzgledne-odchylenie-mediany-w-r\/","title":{"rendered":"Jak obliczy\u0107 bezwzgl\u0119dne odchylenie mediany w r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Mediana bezwzgl\u0119dnego odchylenia<\/strong> mierzy rozk\u0142ad <a href=\"https:\/\/statorials.org\/pl\/obserwacja-w-statystyce\/\" target=\"_blank\" rel=\"noopener\">obserwacji<\/a> w zbiorze danych.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jest to szczeg\u00f3lnie przydatna miara, poniewa\u017c w mniejszym stopniu wp\u0142ywaj\u0105 na ni\u0105 warto\u015bci odstaj\u0105ce ni\u017c inne miary rozproszenia, takie jak odchylenie standardowe i wariancja.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Wz\u00f3r na obliczenie bezwzgl\u0119dnego odchylenia mediany, cz\u0119sto w skr\u00f3cie MAD, jest nast\u0119puj\u0105cy:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>MAD = mediana (|x <sub>i<\/sub> \u2013 x <sub>m<\/sub> |)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Z\u0142oto:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub> :<\/strong> <sup>i-ta<\/sup> warto\u015b\u0107 zbioru danych<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>m<\/sub> :<\/strong> mediana warto\u015bci w zbiorze danych<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Poni\u017csze przyk\u0142ady pokazuj\u0105, jak obliczy\u0107 median\u0119 bezwzgl\u0119dnego odchylenia w R przy u\u017cyciu wbudowanej funkcji <strong>mad()<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Przyk\u0142ad 1: oblicz MAD dla wektora<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak obliczy\u0107 median\u0119 bezwzgl\u0119dnego odchylenia dla pojedynczego wektora w R:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define data\n<\/span>data &lt;- c(1, 4, 4, 7, 12, 13, 16, 19, 22, 24)\n\n<span style=\"color: #008080;\">#calculate MAD\n<\/span>mad(data)\n\n[1] 11.1195\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Mediana bezwzgl\u0119dnego odchylenia dla zbioru danych wynosi <strong>11,1195<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Przyk\u0142ad 2: Oblicz MAD dla kolumny w ramce danych<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak obliczy\u0107 MAD dla pojedynczej kolumny w ramce danych:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define data\n<\/span>data &lt;- data.frame(x = c(1, 4, 4, 6, 7, 8, 12),\n                   y = c(3, 4, 6, 8, 8, 9, 19),\n                   z = c(2, 2, 2, 3, 5, 8, 11))\n\n<span style=\"color: #008080;\">#calculate MAD for column <em>y<\/em> in data frame\n<\/span>mad(data$y)\n\n[1] 2.9652\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bezwzgl\u0119dne \u015brednie odchylenie dla kolumny <em>y<\/em> wynosi <strong>2,9652<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Przyk\u0142ad 3: Oblicz MAD dla wielu kolumn w ramce danych<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak obliczy\u0107 MAD dla wielu kolumn w ramce danych za pomoc\u0105 funkcji <strong>sapply()<\/strong> :<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define data\n<span style=\"color: #000000;\">data &lt;- data.frame(x = c(1, 4, 4, 6, 7, 8, 12),\n                   y = c(3, 4, 6, 8, 8, 9, 19),\n                   z = c(2, 2, 2, 3, 5, 8, 11))<\/span>\n\n#calculate MAD for all columns in data frame\n<span style=\"color: #000000;\">sapply(data, mad)\n\n     X Y Z\n2.9652 2.9652 1.4826\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bezwzgl\u0119dne odchylenie mediany wynosi <strong>2,9652<\/strong> dla kolumny x, <strong>2,9652<\/strong> dla kolumny y i <strong>1,4826<\/strong> dla kolumny z.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Powi\u0105zane:<\/strong><\/span> <a href=\"https:\/\/statorials.org\/pl\/przewodnik-dotyczacy-stosowania-lapply-sapply-i-tapply-w-r\/\" target=\"_blank\" rel=\"noopener\">Przewodnik po Apply(), lapply(), sapply() i tapply() w R<\/a><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pl\/karta-r\/\" target=\"_blank\" rel=\"noopener\">Jak obliczy\u0107 MAPE w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/jak-obliczyc-mse-w-r\/\" target=\"_blank\" rel=\"noopener\">Jak obliczy\u0107 MSE w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/jak-obliczyc-rmse-w-r\/\" target=\"_blank\" rel=\"noopener\">Jak obliczy\u0107 RMSE w R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mediana bezwzgl\u0119dnego odchylenia mierzy rozk\u0142ad obserwacji w zbiorze danych. Jest to szczeg\u00f3lnie przydatna miara, poniewa\u017c w mniejszym stopniu wp\u0142ywaj\u0105 na ni\u0105 warto\u015bci odstaj\u0105ce ni\u017c inne miary rozproszenia, takie jak odchylenie standardowe i wariancja. Wz\u00f3r na obliczenie bezwzgl\u0119dnego odchylenia mediany, cz\u0119sto w skr\u00f3cie MAD, jest nast\u0119puj\u0105cy: MAD = mediana (|x i \u2013 x m |) Z\u0142oto: [&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-1280","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 obliczy\u0107 bezwzgl\u0119dne odchylenie mediany w R<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 median\u0119 bezwzgl\u0119dnego odchylenia w R, podaj\u0105c kilka przyk\u0142ad\u00f3w.\" \/>\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\/bezwzgledne-odchylenie-mediany-w-r\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak obliczy\u0107 bezwzgl\u0119dne odchylenie mediany w R\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 median\u0119 bezwzgl\u0119dnego odchylenia w R, podaj\u0105c kilka przyk\u0142ad\u00f3w.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/bezwzgledne-odchylenie-mediany-w-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T00:52:44+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\/bezwzgledne-odchylenie-mediany-w-r\/\",\"url\":\"https:\/\/statorials.org\/pl\/bezwzgledne-odchylenie-mediany-w-r\/\",\"name\":\"Jak obliczy\u0107 bezwzgl\u0119dne odchylenie mediany w R\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-27T00:52:44+00:00\",\"dateModified\":\"2023-07-27T00:52:44+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 median\u0119 bezwzgl\u0119dnego odchylenia w R, podaj\u0105c kilka przyk\u0142ad\u00f3w.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/bezwzgledne-odchylenie-mediany-w-r\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/bezwzgledne-odchylenie-mediany-w-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/bezwzgledne-odchylenie-mediany-w-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak obliczy\u0107 bezwzgl\u0119dne odchylenie mediany 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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