{"id":1428,"date":"2023-07-26T10:29:38","date_gmt":"2023-07-26T10:29:38","guid":{"rendered":"https:\/\/statorials.org\/pt\/distribuicao-unimodal\/"},"modified":"2023-07-26T10:29:38","modified_gmt":"2023-07-26T10:29:38","slug":"distribuicao-unimodal","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/distribuicao-unimodal\/","title":{"rendered":"O que \u00e9 uma distribui\u00e7\u00e3o unimodal? (defini\u00e7\u00e3o e #038; exemplo)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Uma <strong>distribui\u00e7\u00e3o unimodal<\/strong> \u00e9 uma distribui\u00e7\u00e3o de probabilidade com um pico claro.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14133 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multimodal3.png\" alt=\"Distribui\u00e7\u00e3o unimodal\" width=\"475\" height=\"318\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Isto contrasta com uma <a href=\"https:\/\/statorials.org\/pt\/distribuicao-bimodal\/\" target=\"_blank\" rel=\"noopener\">distribui\u00e7\u00e3o bimodal<\/a> , que tem dois picos claros:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14132 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multimodal2.png\" alt=\"\" width=\"472\" height=\"314\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Isto tamb\u00e9m contrasta com uma <a href=\"https:\/\/statorials.org\/pt\/distribuicao-multimodal\/\" target=\"_blank\" rel=\"noopener\">distribui\u00e7\u00e3o multimodal<\/a> , que tem dois ou mais picos:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14131 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multimodal1.png\" alt=\"\" width=\"465\" height=\"323\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><em><strong>Nota:<\/strong> Uma distribui\u00e7\u00e3o bimodal \u00e9 apenas um tipo espec\u00edfico de distribui\u00e7\u00e3o multimodal.<\/em><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplos de distribui\u00e7\u00f5es unimodais<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Aqui est\u00e3o alguns exemplos de distribui\u00e7\u00f5es unimodais na pr\u00e1tica.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Exemplo 1: Peso ao nascer dos beb\u00eas<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c9 sabido que a distribui\u00e7\u00e3o de peso dos rec\u00e9m-nascidos segue uma distribui\u00e7\u00e3o unimodal com m\u00e9dia em torno de 7,5 quilos.<\/span> <span style=\"color: #000000;\">Se criarmos um histograma do peso dos beb\u00eas, veremos um \u201cpico\u201d de 7,5 quilos, com alguns beb\u00eas pesando mais e outros pesando menos.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14144 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/unimodal1-2.png\" alt=\"Exemplo de distribui\u00e7\u00e3o unimodal\" width=\"579\" height=\"308\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Exemplo 2: pontua\u00e7\u00f5es do ACT<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">A pontua\u00e7\u00e3o m\u00e9dia do ACT para estudantes do ensino m\u00e9dio nos Estados Unidos \u00e9 de cerca de 21, com alguns alunos com pontua\u00e7\u00e3o mais baixa e outros com pontua\u00e7\u00e3o mais alta. Se criarmos um histograma de pontua\u00e7\u00f5es do ACT para todos os alunos nos Estados Unidos, veremos um \u00fanico \u201cpico\u201d aos 21 anos, com pontua\u00e7\u00f5es mais altas para alguns alunos e pontua\u00e7\u00f5es mais baixas para outros.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14143 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/unimodal2.png\" alt=\"Distribui\u00e7\u00e3o unimodal na vida real\" width=\"596\" height=\"323\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Exemplo 3: tamanhos de cal\u00e7ado<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">A distribui\u00e7\u00e3o dos tamanhos de cal\u00e7ados masculinos \u00e9 uma distribui\u00e7\u00e3o unimodal com um &#8220;pico&#8221; em torno de 10. Se criarmos um histograma de todos os tamanhos de cal\u00e7ados masculinos, veremos um \u00fanico pico em 10, com alguns homens usando um tamanho de cal\u00e7ado maior e outros usando um tamanho maior. tamanho. tamanho menor.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14145 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/unimodal3.png\" alt=\"Exemplo de distribui\u00e7\u00e3o unimodal em estat\u00edsticas\" width=\"532\" height=\"285\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Distribui\u00e7\u00f5es unimodais em estat\u00edsticas<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">As seguintes distribui\u00e7\u00f5es de probabilidade em estat\u00edsticas s\u00e3o todas distribui\u00e7\u00f5es unimodais:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>A distribui\u00e7\u00e3o normal<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14080 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/symetrique1.png\" alt=\"\" width=\"271\" height=\"259\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>A distribui\u00e7\u00e3o t<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14083 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/symetrique4.png\" alt=\"\" width=\"285\" height=\"282\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Distribui\u00e7\u00e3o uniforme<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14082 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/symetrique3.png\" alt=\"\" width=\"234\" height=\"220\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>A distribui\u00e7\u00e3o de Cauchy<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14081 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/symetrique2.png\" alt=\"\" width=\"311\" height=\"304\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Observe que cada uma dessas distribui\u00e7\u00f5es possui um \u00fanico pico distinto.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Como analisar distribui\u00e7\u00f5es unimodais<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Freq\u00fcentemente descrevemos distribui\u00e7\u00f5es unimodais usando tr\u00eas <a href=\"https:\/\/statorials.org\/pt\/mede-a-tendencia-central\/\" target=\"_blank\" rel=\"noopener\">medidas diferentes de tend\u00eancia central<\/a> :<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>M\u00e9dia<\/strong> : O valor m\u00e9dio<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Mediana<\/strong> : o valor mediano<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Moda<\/strong> : O valor que aparece com mais frequ\u00eancia<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Dependendo da <a href=\"https:\/\/statorials.org\/pt\/vies-de-esquerda-vs.-vies-de-direita\/\" target=\"_blank\" rel=\"noopener\">assimetria<\/a> da distribui\u00e7\u00e3o, estas tr\u00eas medidas podem ser encontradas em locais diferentes.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Distribui\u00e7\u00e3o enviesada \u00e0 esquerda:<\/strong> M\u00e9dia &lt; Mediana &lt; Moda<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13362 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/biais4.png\" alt=\"M\u00e9dia, mediana e moda em uma distribui\u00e7\u00e3o enviesada \u00e0 esquerda\" width=\"450\" height=\"239\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Numa distribui\u00e7\u00e3o enviesada \u00e0 esquerda, a m\u00e9dia \u00e9 menor que a mediana.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Distribui\u00e7\u00e3o enviesada \u00e0 direita:<\/strong> Moda &lt; Mediana &lt; M\u00e9dia<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13364 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/biais6.png\" alt=\"M\u00e9dia, mediana e moda em uma distribui\u00e7\u00e3o enviesada \u00e0 direita\" width=\"464\" height=\"224\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Numa distribui\u00e7\u00e3o distorcida \u00e0 direita, a m\u00e9dia \u00e9 maior que a mediana.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Sem vi\u00e9s:<\/strong> M\u00e9dia = Mediana = Moda<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13363 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/biais5.png\" alt=\"M\u00e9dia vs mediana vs modo em uma distribui\u00e7\u00e3o sim\u00e9trica\" width=\"474\" height=\"257\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Em uma distribui\u00e7\u00e3o sim\u00e9trica, a m\u00e9dia, a mediana e a moda s\u00e3o todas iguais.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pt\/vies-de-esquerda-vs.-vies-de-direita\/\" target=\"_blank\" rel=\"noopener\">Distribui\u00e7\u00f5es distorcidas para a esquerda ou para a direita<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/distribuicao-simetrica-1\/\" target=\"_blank\" rel=\"noopener\">Distribui\u00e7\u00f5es sim\u00e9tricas: defini\u00e7\u00e3o + exemplos<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Uma distribui\u00e7\u00e3o unimodal \u00e9 uma distribui\u00e7\u00e3o de probabilidade com um pico claro. Isto contrasta com uma distribui\u00e7\u00e3o bimodal , que tem dois picos claros: Isto tamb\u00e9m contrasta com uma distribui\u00e7\u00e3o multimodal , que tem dois ou mais picos: Nota: Uma distribui\u00e7\u00e3o bimodal \u00e9 apenas um tipo espec\u00edfico de distribui\u00e7\u00e3o multimodal. Exemplos de distribui\u00e7\u00f5es unimodais Aqui [&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-1428","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>O que \u00e9 uma distribui\u00e7\u00e3o unimodal? 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