{"id":1281,"date":"2023-07-27T00:47:36","date_gmt":"2023-07-27T00:47:36","guid":{"rendered":"https:\/\/statorials.org\/pl\/srednie-odchylenie-bezwzgledne-w-pythonie\/"},"modified":"2023-07-27T00:47:36","modified_gmt":"2023-07-27T00:47:36","slug":"srednie-odchylenie-bezwzgledne-w-pythonie","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/srednie-odchylenie-bezwzgledne-w-pythonie\/","title":{"rendered":"Jak obliczy\u0107 bezwzgl\u0119dne odchylenie mediany w pythonie"},"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 Pythonie za pomoc\u0105 funkcji <strong>mad<\/strong> <a href=\"https:\/\/www.statsmodels.org\/stable\/index.html\" target=\"_blank\" rel=\"noopener\">statsmodels<\/a> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Przyk\u0142ad 1: Oblicz MAD dla tabeli<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak obliczy\u0107 median\u0119 bezwzgl\u0119dnego odchylenia dla pojedynczej tablicy NumPy w Pythonie:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n<span style=\"color: #008000;\">from<\/span> statsmodels <span style=\"color: #008000;\">import<\/span> robust<\/span>\n\n#define data\n<\/span>data = np. <span style=\"color: #3366ff;\">array<\/span> ([1, 4, 4, 7, 12, 13, 16, 19, 22, 24])\n\n<span style=\"color: #008080;\">#calculate MAD\n<\/span>robust. <span style=\"color: #3366ff;\">mad<\/span> (data)\n\n11.1195\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Mediana bezwzgl\u0119dnego odchylenia dla zbioru danych wynosi <strong>11,1195<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nale\u017cy zauwa\u017cy\u0107, \u017ce wz\u00f3r zastosowany do obliczenia MAD oblicza solidne oszacowanie odchylenia standardowego przy za\u0142o\u017ceniu <a href=\"https:\/\/statorials.org\/pl\/rozk\u0142ad-normalny\/\" target=\"_blank\" rel=\"noopener\">rozk\u0142adu normalnego<\/a> poprzez skalowanie wyniku o wsp\u00f3\u0142czynnik oko\u0142o 0,67.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Aby unikn\u0105\u0107 stosowania tego wsp\u00f3\u0142czynnika skalowania, po prostu ustaw c = 1 w nast\u0119puj\u0105cy spos\u00f3b:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate MAD without scaling factor\n<\/span>robust. <span style=\"color: #3366ff;\">mad<\/span> (data, c=1)\n\n7.5<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Przyk\u0142ad 2: Oblicz MAD dla ramki danych<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak obliczy\u0107 MAD dla pojedynczej kolumny w ramce DataFrame pandy:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<\/span>n.p. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">seeds<\/span> (1)\n\n<span style=\"color: #008080;\">#create pandas DataFrame\n<\/span>data = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ( <span style=\"color: #3366ff;\">np.random.randint<\/span> (0,10,size=(5,3)),columns <span style=\"color: #3366ff;\">=<\/span> [' <span style=\"color: #008000;\">A<\/span> ',' <span style=\"color: #008000;\">B<\/span> ',' <span style=\"color: #008000;\">C<\/span> '])\n\n<span style=\"color: #008080;\">#view DataFrame\n<\/span>data\n\n        A B C\n0 5 8 9\n1 5 0 0\n2 1 7 6\n3 9 2 4\n4 5 2 4\n\n<span style=\"color: #008080;\">#calculate MAD for column <em>B<\/em>\n<span style=\"color: #000000;\">data[[' <span style=\"color: #008000;\">B<\/span> ']]. <span style=\"color: #3366ff;\">apply<\/span> (robust. <span style=\"color: #3366ff;\">mad<\/span> )\n\nB 2.965204\ndtype:float64<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bezwzgl\u0119dne odchylenie mediany dla kolumny <em>B<\/em> wynosi <strong>2,965204<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mo\u017cemy u\u017cy\u0107 podobnej sk\u0142adni do obliczenia MAD dla wielu kolumn w ramce DataFrame pand:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#calculate MAD for all columns<\/span>\ndata[[' <span style=\"color: #008000;\">A<\/span> ',' <span style=\"color: #008000;\">B<\/span> ',' <span style=\"color: #008000;\">C<\/span> ']]. <span style=\"color: #3366ff;\">apply<\/span> (robust. <span style=\"color: #3366ff;\">mad<\/span> )\n\nAt 0.000000\nB 2.965204\nC 2.965204\ndtype:float64\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bezwzgl\u0119dne odchylenie mediany wynosi <b>0<\/b> dla kolumny A, <strong>2,965204<\/strong> dla kolumny B i <b>2,965204<\/b> dla kolumny C.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pl\/karta-pythona\/\" target=\"_blank\" rel=\"noopener\">Jak obliczy\u0107 MAPE w Pythonie<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/ma\u0142y-pyton\/\" target=\"_blank\" rel=\"noopener\">Jak obliczy\u0107 SMAPE w Pythonie<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/rmse-pythona\/\" target=\"_blank\" rel=\"noopener\">Jak obliczy\u0107 RMSE w Pythonie<\/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-1281","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 Pythonie<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 median\u0119 bezwzgl\u0119dnego odchylenia w Pythonie, 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\/srednie-odchylenie-bezwzgledne-w-pythonie\/\" \/>\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 Pythonie\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 median\u0119 bezwzgl\u0119dnego odchylenia w Pythonie, podaj\u0105c kilka przyk\u0142ad\u00f3w.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/srednie-odchylenie-bezwzgledne-w-pythonie\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T00:47:36+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=\"2 minuty\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/srednie-odchylenie-bezwzgledne-w-pythonie\/\",\"url\":\"https:\/\/statorials.org\/pl\/srednie-odchylenie-bezwzgledne-w-pythonie\/\",\"name\":\"Jak obliczy\u0107 bezwzgl\u0119dne odchylenie mediany w Pythonie\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-27T00:47:36+00:00\",\"dateModified\":\"2023-07-27T00:47:36+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 Pythonie, podaj\u0105c kilka przyk\u0142ad\u00f3w.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/srednie-odchylenie-bezwzgledne-w-pythonie\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/srednie-odchylenie-bezwzgledne-w-pythonie\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/srednie-odchylenie-bezwzgledne-w-pythonie\/#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 pythonie\"}]},{\"@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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