{"id":1677,"date":"2023-07-25T10:13:28","date_gmt":"2023-07-25T10:13:28","guid":{"rendered":"https:\/\/statorials.org\/pt\/percentil-vs-quartil-vs-quantil\/"},"modified":"2023-07-25T10:13:28","modified_gmt":"2023-07-25T10:13:28","slug":"percentil-vs-quartil-vs-quantil","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/percentil-vs-quartil-vs-quantil\/","title":{"rendered":"Percentil, quartil e quantil: qual a diferen\u00e7a?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Tr\u00eas termos que os alunos costumam confundir em estat\u00edstica s\u00e3o percentis, quartis e quantis.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Aqui est\u00e1 uma defini\u00e7\u00e3o simples de cada um:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Percentis:<\/strong> variam de 0 a 100.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Quartis:<\/strong> variam de 0 a 4.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Quantis:<\/strong> v\u00e3o de qualquer valor para qualquer outro valor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Observe que percentis e quartis s\u00e3o simplesmente <em>tipos<\/em> de quantis.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alguns tipos de quantis t\u00eam at\u00e9 nomes espec\u00edficos, incluindo:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Os 4 quantis s\u00e3o chamados <em>de quartis<\/em> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Os 5 quantis s\u00e3o chamados <em>de quintis<\/em> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Os 8 quantis s\u00e3o chamados <em>de \u00f3ctilos<\/em> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Os 10 quantis s\u00e3o chamados <em>de decis<\/em> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Os 100 quantis s\u00e3o chamados <em>de percentis<\/em> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Observe que percentis e quartis compartilham o seguinte relacionamento:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">0 percentil = 0 quartil (tamb\u00e9m chamado de m\u00ednimo)<\/span><\/li>\n<li> <span style=\"color: #000000;\">25\u00ba percentil = 1\u00ba quartil<\/span><\/li>\n<li> <span style=\"color: #000000;\">50\u00ba percentil = 2\u00ba quartil (tamb\u00e9m chamado de mediana)<\/span><\/li>\n<li> <span style=\"color: #000000;\">75\u00ba percentil = 3\u00ba quartil<\/span><\/li>\n<li> <span style=\"color: #000000;\">100\u00ba percentil = 4\u00ba quartil (tamb\u00e9m chamado de m\u00e1ximo)<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo: Encontrando percentis e quartis<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Suponha que temos o seguinte conjunto de dados com 20 valores:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16537 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/perc1.png\" alt=\"\" width=\"81\" height=\"476\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Usando software estat\u00edstico (como Excel, R, Python, etc.), podemos encontrar os seguintes percentis e quartis para este conjunto de dados:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16538 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/perc2.png\" alt=\"\" width=\"385\" height=\"515\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Veja como interpretar esses valores:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">O percentil 0 e o quartil 0 s\u00e3o <strong>3<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">O 25\u00ba percentil e o 1\u00ba quartil s\u00e3o <strong>8,5<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">O 50\u00ba percentil e o 2\u00ba quartil s\u00e3o <strong>16,5<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">O 75\u00ba percentil e o 3\u00ba quartil \u00e9 <strong>23,5<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">O 100\u00ba percentil e o 4\u00ba quartil s\u00e3o <strong>37<\/strong> .<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Quando usar percentis versus quartis<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>Os percentis<\/strong> podem ser usados para responder perguntas como:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Quanto um aluno precisa pontuar em um determinado teste para estar entre os 10% melhores?<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Para responder a esta pergunta, encontrar\u00edamos o percentil 90 de todas as pontua\u00e7\u00f5es, que \u00e9 o valor que separa os 90% mais pobres dos 10% mais favorecidos.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Que alturas abrangem 40% da altura m\u00e9dia dos alunos de uma determinada escola?<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Para responder a esta pergunta, encontrar\u00edamos o percentil 70 de altura e o percentil 30 de altura, que s\u00e3o os dois valores que determinam os limites superior e inferior para os 40% m\u00e9dios de altura.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Os quartis<\/strong> podem ser usados para responder perguntas como:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Quanto um aluno precisa pontuar em um teste para estar entre as primeiras pontua\u00e7\u00f5es?<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Para responder a esta quest\u00e3o, encontrar\u00edamos o 3\u00ba quartil de todas as pontua\u00e7\u00f5es, que \u00e9 o valor que separa os 75% mais pobres dos 25% mais favorecidos.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Qual \u00e9 o intervalo interquartil de um determinado conjunto de dados?<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">O intervalo interquartil (IQR) \u00e9 o intervalo dos 50% intermedi\u00e1rios dos valores dos dados. Para encontrar o IQR para um determinado conjunto de dados, podemos calcular o 3\u00ba quartil \u2013 o 1\u00ba quartil.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pt\/percentis-em-r\/\" target=\"_blank\" rel=\"noopener\">Como calcular percentis em R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/quartis-em-r\/\" target=\"_blank\" rel=\"noopener\">Como calcular quartis em R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/intervalo-interquartil-excel\/\" target=\"_blank\" rel=\"noopener\">Como calcular o intervalo interquartil no Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/intervalo-interquartil-ti-84\/\" target=\"_blank\" rel=\"noopener\">Como calcular o intervalo interquartil em uma calculadora TI-84<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tr\u00eas termos que os alunos costumam confundir em estat\u00edstica s\u00e3o percentis, quartis e quantis. Aqui est\u00e1 uma defini\u00e7\u00e3o simples de cada um: Percentis: variam de 0 a 100. Quartis: variam de 0 a 4. Quantis: v\u00e3o de qualquer valor para qualquer outro valor. Observe que percentis e quartis s\u00e3o simplesmente tipos de quantis. Alguns tipos [&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-1677","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>Percentil, quartil e quantil: qual a diferen\u00e7a?<\/title>\n<meta name=\"description\" content=\"Este tutorial explica a diferen\u00e7a entre percentis, quartis e quantis, 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\/percentil-vs-quartil-vs-quantil\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Percentil, quartil e quantil: qual a diferen\u00e7a?\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica a diferen\u00e7a entre percentis, quartis e quantis, com v\u00e1rios exemplos.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/percentil-vs-quartil-vs-quantil\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T10:13:28+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/perc1.png\" \/>\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=\"2 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/percentil-vs-quartil-vs-quantil\/\",\"url\":\"https:\/\/statorials.org\/pt\/percentil-vs-quartil-vs-quantil\/\",\"name\":\"Percentil, quartil e quantil: qual a diferen\u00e7a?\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-25T10:13:28+00:00\",\"dateModified\":\"2023-07-25T10:13:28+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica a diferen\u00e7a entre percentis, quartis e quantis, com v\u00e1rios exemplos.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/percentil-vs-quartil-vs-quantil\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/percentil-vs-quartil-vs-quantil\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/percentil-vs-quartil-vs-quantil\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Percentil, quartil e quantil: 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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