{"id":1518,"date":"2023-07-26T01:30:17","date_gmt":"2023-07-26T01:30:17","guid":{"rendered":"https:\/\/statorials.org\/pt\/intervalo-interquartil-vs-desvio-padrao\/"},"modified":"2023-07-26T01:30:17","modified_gmt":"2023-07-26T01:30:17","slug":"intervalo-interquartil-vs-desvio-padrao","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/intervalo-interquartil-vs-desvio-padrao\/","title":{"rendered":"Intervalo interquartil e desvio padr\u00e3o: qual a diferen\u00e7a?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">O <strong>intervalo interquartil<\/strong> e <strong>o desvio padr\u00e3o<\/strong> s\u00e3o duas formas de medir a distribui\u00e7\u00e3o de valores em um conjunto de dados.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Este tutorial fornece uma breve explica\u00e7\u00e3o de cada m\u00e9trica, juntamente com as semelhan\u00e7as e diferen\u00e7as entre as duas.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Intervalo interquartil<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">O <strong>intervalo interquartil<\/strong> (IQR) de um conjunto de dados \u00e9 a diferen\u00e7a entre o primeiro quartil (percentil 25) e o terceiro quartil (percentil 75). Mede a distribui\u00e7\u00e3o da m\u00e9dia de 50% dos valores.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>AIQ = Q3 \u2013 Q1<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Por exemplo, suponha que temos o seguinte conjunto de dados:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Conjunto de dados:<\/strong> 1, 4, 8, 11, 13, 17, 19, 19, 20, 23, 24, 24, 25, 28, 29, 31, 32<\/span><\/p>\n<p> <span style=\"color: #000000;\">De acordo com a calculadora do intervalo interquartil, o intervalo interquartil (IQR) para este conjunto de dados \u00e9 calculado da seguinte forma:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>T1:<\/strong> 12<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>T3:<\/strong> 26,5<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>AIQ<\/strong> = Q3 \u2013 Q1 = 14,5<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Isso nos diz que os 50% intermedi\u00e1rios dos valores no conjunto de dados t\u00eam um desvio de <strong>14,5<\/strong> .<\/span><\/p>\n<p> <strong style=\"color: #000000; font-family: Montserrat, sans-serif; font-size: 24px;\">Desvio padr\u00e3o<\/strong><\/p>\n<p> <span style=\"color: #000000;\">O <strong>desvio padr\u00e3o<\/strong> de um conjunto de dados \u00e9 uma forma de medir o desvio t\u00edpico de valores individuais em rela\u00e7\u00e3o ao valor m\u00e9dio. \u00c9 calculado da seguinte forma:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>s = \u221a(\u03a3(x <sub>i<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> ) <sup>2<\/sup> \/ (n-1))<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Por exemplo, suponha que temos o seguinte conjunto de dados:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Conjunto de dados:<\/strong> 1, 4, 8, 11, 13, 17, 19, 19, 20, 23, 24, 24, 25, 28, 29, 31, 32<\/span><\/p>\n<p> <span style=\"color: #000000;\">Podemos usar uma calculadora para descobrir que o desvio padr\u00e3o deste conjunto de dados \u00e9 <strong>9,25<\/strong> . Isso nos d\u00e1 uma ideia de qu\u00e3o longe o valor t\u00edpico est\u00e1 da m\u00e9dia.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Semelhan\u00e7as e diferen\u00e7as<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">O intervalo interquartil e o desvio padr\u00e3o compartilham a <strong>seguinte semelhan\u00e7a:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ambas as m\u00e9tricas medem a distribui\u00e7\u00e3o de valores em um conjunto de dados.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">No entanto, o intervalo interquartil e o desvio padr\u00e3o t\u00eam a <strong>seguinte diferen\u00e7a fundamental:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">O intervalo interquartil (IQR) n\u00e3o \u00e9 afetado por valores discrepantes extremos. Por exemplo, um valor extremamente pequeno ou extremamente grande em um conjunto de dados n\u00e3o afetar\u00e1 o c\u00e1lculo do IQR porque o IQR usa apenas os valores do 25\u00ba percentil e do 75\u00ba percentil do conjunto de dados.<\/span><\/li>\n<li> <span style=\"color: #000000;\">O desvio padr\u00e3o <em>\u00e9<\/em> afetado por valores extremos. Por exemplo, um valor extremamente grande num conjunto de dados resultar\u00e1 num desvio padr\u00e3o muito maior, uma vez que o desvio padr\u00e3o utiliza todos os valores de um conjunto de dados na sua f\u00f3rmula.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Quando usar cada<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Voc\u00ea deve usar o intervalo interquartil para medir a distribui\u00e7\u00e3o de valores em um conjunto de dados quando h\u00e1 valores discrepantes extremos.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Por outro lado, voc\u00ea deve usar o desvio padr\u00e3o para medir a distribui\u00e7\u00e3o de valores quando n\u00e3o h\u00e1 valores discrepantes extremos.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Para ilustrar o porqu\u00ea, considere o seguinte conjunto de dados:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Conjunto de dados:<\/strong> 1, 4, 8, 11, 13, 17, 19, 19, 20, 23, 24, 24, 25, 28, 29, 31, 32<\/span><\/p>\n<p> <span style=\"color: #000000;\">Anteriormente neste artigo, calculamos as seguintes m\u00e9tricas para este conjunto de dados:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>AIQ:<\/strong> 14,5<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Desvio padr\u00e3o:<\/strong> 9,25<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">No entanto, considere se o conjunto de dados tinha um valor at\u00edpico extremo:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Conjunto de dados:<\/strong> 1, 4, 8, 11, 13, 17, 19, 19, 20, 23, 24, 24, 25, 28, 29, 31, 32, <strong>378<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Poder\u00edamos usar uma calculadora para encontrar as seguintes m\u00e9tricas para este conjunto de dados:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>AIQ:<\/strong> 15<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Desvio padr\u00e3o:<\/strong> 85,02<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Observe que o intervalo interquartil quase n\u00e3o muda quando um valor discrepante est\u00e1 presente, enquanto o desvio padr\u00e3o aumenta de 9,25 para 85,02.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pt\/mede-a-tendencia-central\/\" target=\"_blank\" rel=\"noopener\">Medidas de tend\u00eancia central: defini\u00e7\u00e3o e exemplos<\/a><br \/> Medidas de dispers\u00e3o: defini\u00e7\u00e3o e exemplos<br \/> <a href=\"https:\/\/statorials.org\/pt\/encontrar-outliers-com-iqr\/\" target=\"_blank\" rel=\"noopener\">Como encontrar outliers usando intervalo interquartil<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>O intervalo interquartil e o desvio padr\u00e3o s\u00e3o duas formas de medir a distribui\u00e7\u00e3o de valores em um conjunto de dados. Este tutorial fornece uma breve explica\u00e7\u00e3o de cada m\u00e9trica, juntamente com as semelhan\u00e7as e diferen\u00e7as entre as duas. Intervalo interquartil O intervalo interquartil (IQR) de um conjunto de dados \u00e9 a diferen\u00e7a entre o [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-1518","post","type-post","status-publish","format-standard","hentry","category-guia"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Intervalo interquartil e desvio padr\u00e3o: qual a diferen\u00e7a?<\/title>\n<meta name=\"description\" content=\"Este tutorial explica a diferen\u00e7a entre intervalo interquartil e desvio padr\u00e3o, com v\u00e1rios exemplos.\" \/>\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\/pt\/intervalo-interquartil-vs-desvio-padrao\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Intervalo interquartil e desvio padr\u00e3o: qual a diferen\u00e7a?\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica a diferen\u00e7a entre intervalo interquartil e desvio padr\u00e3o, com v\u00e1rios exemplos.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/intervalo-interquartil-vs-desvio-padrao\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T01:30:17+00:00\" \/>\n<meta name=\"author\" content=\"Dr. benjamim anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr. benjamim anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tempo estimado de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/intervalo-interquartil-vs-desvio-padrao\/\",\"url\":\"https:\/\/statorials.org\/pt\/intervalo-interquartil-vs-desvio-padrao\/\",\"name\":\"Intervalo interquartil e desvio padr\u00e3o: qual a diferen\u00e7a?\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-26T01:30:17+00:00\",\"dateModified\":\"2023-07-26T01:30:17+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica a diferen\u00e7a entre intervalo interquartil e desvio padr\u00e3o, com v\u00e1rios exemplos.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/intervalo-interquartil-vs-desvio-padrao\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/intervalo-interquartil-vs-desvio-padrao\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/intervalo-interquartil-vs-desvio-padrao\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Intervalo interquartil e desvio padr\u00e3o: qual a diferen\u00e7a?\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pt\/#website\",\"url\":\"https:\/\/statorials.org\/pt\/\",\"name\":\"Statorials\",\"description\":\"O seu guia para a literacia estat\u00edstica!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pt\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pt-PT\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\",\"name\":\"Dr. benjamim anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-PT\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr. benjamim anderson\"},\"description\":\"Ol\u00e1, sou Benjamin, um professor aposentado de estat\u00edstica que se tornou professor dedicado na Statorials. 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