{"id":1736,"date":"2023-07-25T04:53:17","date_gmt":"2023-07-25T04:53:17","guid":{"rendered":"https:\/\/statorials.org\/pt\/como-encontrar-o-iqr-do-box-plot\/"},"modified":"2023-07-25T04:53:17","modified_gmt":"2023-07-25T04:53:17","slug":"como-encontrar-o-iqr-do-box-plot","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/como-encontrar-o-iqr-do-box-plot\/","title":{"rendered":"Como encontrar o intervalo interquartil (iqr) de um box plot"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Um <strong>box plot<\/strong> \u00e9 um tipo de gr\u00e1fico que exibe o resumo de cinco d\u00edgitos de um conjunto de dados, que inclui:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">O valor m\u00ednimo<\/span><\/li>\n<li> <span style=\"color: #000000;\">O primeiro quartil (o 25\u00ba percentil)<\/span><\/li>\n<li> <span style=\"color: #000000;\">O valor mediano<\/span><\/li>\n<li> <span style=\"color: #000000;\">O terceiro quartil (o 75\u00ba percentil)<\/span><\/li>\n<li> <span style=\"color: #000000;\">O valor m\u00e1ximo<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Para fazer um box plot, desenhamos uma caixa do primeiro ao terceiro quartil. A seguir, tra\u00e7amos uma linha vertical na mediana. Por fim, tra\u00e7amos \u201cbigodes\u201d dos quartis at\u00e9 o valor m\u00ednimo e m\u00e1ximo.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-17049 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/iqr_box3.png\" alt=\"\" width=\"451\" height=\"85\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">O <strong>intervalo interquartil<\/strong> , frequentemente abreviado como IQR, \u00e9 a diferen\u00e7a entre o terceiro quartil e o primeiro quartil.<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">AIQ = Q3 \u2013 Q1<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Isso nos diz a distribui\u00e7\u00e3o dos 50% intermedi\u00e1rios dos valores em um determinado conjunto de dados.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-17050\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/iqr_box4.png\" alt=\"Intervalo interquartil de um box plot\" width=\"436\" height=\"143\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Os exemplos a seguir mostram como encontrar o intervalo interquartil (IQR) de um boxplot na pr\u00e1tica.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Exemplo 1: resultados do exame<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">O gr\u00e1fico de caixa a seguir mostra a distribui\u00e7\u00e3o das pontua\u00e7\u00f5es em um determinado exame universit\u00e1rio. Qual \u00e9 o intervalo interquartil das pontua\u00e7\u00f5es dos testes?<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-17045 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/iqr_box1.png\" alt=\"\" width=\"453\" height=\"116\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Podemos encontrar os seguintes valores no boxplot para responder a esta pergunta:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Q3 (quartil superior) = 90<\/span><\/li>\n<li> <span style=\"color: #000000;\">Q1 (quartil inferior) = 70<\/span><\/li>\n<li> <span style=\"color: #000000;\">Escala interquartil (IQR) = 90 \u2013 70 = 20<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">O intervalo interquartil dos resultados do exame \u00e9 <strong>20<\/strong> .<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Exemplo 2: Pontos marcados<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">O gr\u00e1fico de caixa a seguir mostra a distribui\u00e7\u00e3o de pontos marcados por jogadores de basquete em uma determinada liga. Qual \u00e9 o intervalo interquartil da distribui\u00e7\u00e3o?<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-17048 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/iqr_box2.png\" alt=\"\" width=\"537\" height=\"134\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Podemos encontrar os seguintes valores no boxplot para responder a esta pergunta:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Q3 (quartil superior) = 27<\/span><\/li>\n<li> <span style=\"color: #000000;\">Q1 (quartil inferior) = 15<\/span><\/li>\n<li> <span style=\"color: #000000;\">Escala interquartil (IQR) = 27 \u2013 15 = 12<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">O intervalo interquartil da distribui\u00e7\u00e3o \u00e9 <strong>12<\/strong> .<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Exemplo 3: Compara\u00e7\u00e3o de alturas de plantas<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Os box plots a seguir mostram a distribui\u00e7\u00e3o de altura para duas esp\u00e9cies de plantas diferentes: vermelha e azul. Qual distribui\u00e7\u00e3o tem um intervalo interquartil maior?<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-17052 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/iqr_box5.png\" alt=\"\" width=\"533\" height=\"199\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Primeiro, vamos encontrar o intervalo interquartil da caixa vermelha:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Q3 (quartil superior) = 30<\/span><\/li>\n<li> <span style=\"color: #000000;\">Q1 (quartil inferior) = 20<\/span><\/li>\n<li> <span style=\"color: #000000;\">Escala interquartil (IQR) = 30 \u2013 20 = <strong>10<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A seguir, vamos encontrar o intervalo interquartil do gr\u00e1fico de caixa azul:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Q3 (quartil superior) = 27<\/span><\/li>\n<li> <span style=\"color: #000000;\">Q1 (quartil inferior) = 15<\/span><\/li>\n<li> <span style=\"color: #000000;\">Escala interquartil (IQR) = 27 \u2013 15 = <strong>12<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">O intervalo interquartil para as esp\u00e9cies azuis \u00e9 maior.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Os tutoriais a seguir fornecem informa\u00e7\u00f5es adicionais sobre box plots:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pt\/gerador-de-boxplot\/\" target=\"_blank\" rel=\"noopener\">Gerador de gr\u00e1fico de caixa<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/comparar-boxplots\/\" target=\"_blank\" rel=\"noopener\">Como comparar gr\u00e1ficos de caixa<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/simetria-do-boxplot\/\" target=\"_blank\" rel=\"noopener\">Como identificar assimetria em box plots<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/como-interpretar-o-intervalo-interquartil\/\" target=\"_blank\" rel=\"noopener\">Como interpretar o intervalo interquartil<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Um box plot \u00e9 um tipo de gr\u00e1fico que exibe o resumo de cinco d\u00edgitos de um conjunto de dados, que inclui: O valor m\u00ednimo O primeiro quartil (o 25\u00ba percentil) O valor mediano O terceiro quartil (o 75\u00ba percentil) O valor m\u00e1ximo Para fazer um box plot, desenhamos uma caixa do primeiro ao terceiro [&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-1736","post","type-post","status-publish","format-standard","hentry","category-guia"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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