{"id":1368,"date":"2023-07-26T16:20:05","date_gmt":"2023-07-26T16:20:05","guid":{"rendered":"https:\/\/statorials.org\/pt\/histograma-medio-mediano\/"},"modified":"2023-07-26T16:20:05","modified_gmt":"2023-07-26T16:20:05","slug":"histograma-medio-mediano","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/histograma-medio-mediano\/","title":{"rendered":"Como estimar a m\u00e9dia e mediana de qualquer histograma"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Um <strong>histograma<\/strong> \u00e9 um gr\u00e1fico que nos ajuda a visualizar a distribui\u00e7\u00e3o de valores em um conjunto de dados.<\/span><\/p>\n<p> <span style=\"color: #000000;\">O eixo x de um histograma exibe grupos de valores de dados e o eixo y nos informa quantas observa\u00e7\u00f5es em um conjunto de dados est\u00e3o em cada grupo.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13591 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/histogramme_moyenne3.png\" alt=\"M\u00e9dia do histograma\" width=\"445\" height=\"384\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Embora os histogramas sejam \u00fateis para visualizar distribui\u00e7\u00f5es, nem sempre \u00e9 \u00f3bvio saber os valores <strong>m\u00e9dios<\/strong> e <strong>medianos<\/strong> apenas olhando os histogramas.<\/span><\/p>\n<p> <span style=\"color: #000000;\">E embora n\u00e3o seja poss\u00edvel encontrar os valores m\u00e9dios e medianos exatos de uma distribui\u00e7\u00e3o simplesmente olhando um histograma, \u00e9 poss\u00edvel estimar ambos os valores. Este tutorial explica como fazer isso.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Como estimar a m\u00e9dia de um histograma<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Podemos usar a seguinte f\u00f3rmula para encontrar a melhor estimativa da m\u00e9dia de qualquer histograma:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Melhor estimativa da m\u00e9dia:<\/strong> \u03a3m <sub>i<\/sub> n <sub>i<\/sub> \/ N<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ouro:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>m <sub>i<\/sub> :<\/strong> O <a href=\"https:\/\/statorials.org\/pt\/meio-da-aula\/\" target=\"_blank\" rel=\"noopener\">meio<\/a> do i- <sup>\u00e9simo<\/sup> compartimento<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n <sub>i<\/sub> :<\/strong> A frequ\u00eancia do i- <sup>\u00e9simo<\/sup> compartimento<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N:<\/strong> O tamanho total da amostra<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Por exemplo, considere o seguinte histograma:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13591 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/histogramme_moyenne3.png\" alt=\"M\u00e9dia do histograma\" width=\"445\" height=\"384\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Nossa melhor estimativa da m\u00e9dia seria:<\/span><\/p>\n<p> <span style=\"color: #000000;\">M\u00e9dia = (5,5*2 + 15,5*7 + 25,5*10 + 35,5*3 + 45,5*1) \/ 23 = <strong>22,89<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Olhando para o histograma, esta parece ser uma estimativa razo\u00e1vel da m\u00e9dia.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Como estimar a mediana de um histograma<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Podemos usar a seguinte f\u00f3rmula para encontrar a melhor estimativa da mediana de qualquer histograma:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Melhor estimativa da mediana:<\/strong> L + ((n\/2 \u2013 F) \/ f) * w<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ouro:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>L:<\/strong> O limite inferior do grupo intermedi\u00e1rio<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> O n\u00famero total de observa\u00e7\u00f5es<\/span><\/li>\n<li> <span style=\"color: #000000;\"><span style=\"color: #000000;\"><b>F:<\/b> A frequ\u00eancia cumulativa at\u00e9 o grupo intermedi\u00e1rio<\/span><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>f:<\/strong> A frequ\u00eancia do grupo intermedi\u00e1rio<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>w:<\/strong> A largura do grupo do meio<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Novamente, considere o seguinte histograma:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13591 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/histogramme_moyenne3.png\" alt=\"M\u00e9dia do histograma\" width=\"445\" height=\"384\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Nossa melhor estimativa da mediana seria:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mediana = 21 + ((25\/2 \u2013 9)\/10) * 9 = <strong>24,15<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Olhando para o histograma, esta tamb\u00e9m parece ser uma estimativa razo\u00e1vel da mediana.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Relacionado:<\/strong> <a href=\"https:\/\/statorials.org\/pt\/desvio-padrao-do-histograma\/\">Como estimar o desvio padr\u00e3o de qualquer histograma<\/a><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pt\/grafico-de-caule-e-folha-significa-modo-mediano\/\" target=\"_blank\" rel=\"noopener\">Como encontrar a m\u00e9dia, mediana e moda em gr\u00e1ficos de caule e folhas<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/media-da-tabela-de-frequencia\/\" target=\"_blank\" rel=\"noopener\">Como calcular a m\u00e9dia das tabelas de frequ\u00eancia<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/quando-usar-media-versus-mediana\/\" target=\"_blank\" rel=\"noopener\">Quando usar a m\u00e9dia versus a mediana<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Um histograma \u00e9 um gr\u00e1fico que nos ajuda a visualizar a distribui\u00e7\u00e3o de valores em um conjunto de dados. O eixo x de um histograma exibe grupos de valores de dados e o eixo y nos informa quantas observa\u00e7\u00f5es em um conjunto de dados est\u00e3o em cada grupo. Embora os histogramas sejam \u00fateis para visualizar [&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-1368","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>Como estimar a m\u00e9dia e mediana de qualquer histograma<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como estimar o valor m\u00e9dio e mediano de qualquer histograma, incluindo 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\/histograma-medio-mediano\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Como estimar a m\u00e9dia e mediana de qualquer histograma\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica como estimar o valor m\u00e9dio e mediano de qualquer histograma, incluindo exemplos.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/histograma-medio-mediano\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T16:20:05+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/histogramme_moyenne3.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\/histograma-medio-mediano\/\",\"url\":\"https:\/\/statorials.org\/pt\/histograma-medio-mediano\/\",\"name\":\"Como estimar a m\u00e9dia e mediana de qualquer histograma\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-26T16:20:05+00:00\",\"dateModified\":\"2023-07-26T16:20:05+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica como estimar o valor m\u00e9dio e mediano de qualquer histograma, incluindo exemplos.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/histograma-medio-mediano\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/histograma-medio-mediano\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/histograma-medio-mediano\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Como estimar a m\u00e9dia e mediana de qualquer histograma\"}]},{\"@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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