{"id":133,"date":"2023-08-05T02:39:38","date_gmt":"2023-08-05T02:39:38","guid":{"rendered":"https:\/\/statorials.org\/pt\/regra-pratica\/"},"modified":"2023-08-05T02:39:38","modified_gmt":"2023-08-05T02:39:38","slug":"regra-pratica","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/regra-pratica\/","title":{"rendered":"Regra geral"},"content":{"rendered":"<p>Neste artigo voc\u00ea descobrir\u00e1 qual \u00e9 a regra pr\u00e1tica em estat\u00edstica e qual \u00e9 sua f\u00f3rmula. Al\u00e9m disso, voc\u00ea poder\u00e1 ver um exerc\u00edcio passo a passo resolvido com base na regra pr\u00e1tica. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-regla-empirica\"><\/span> Qual \u00e9 a regra pr\u00e1tica?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Nas estat\u00edsticas, a <strong>regra pr\u00e1tica<\/strong> , tamb\u00e9m chamada <strong>de regra 68-95-99,7<\/strong> , \u00e9 uma regra que define a porcentagem de valores em uma distribui\u00e7\u00e3o normal que est\u00e3o dentro de tr\u00eas desvios padr\u00e3o da m\u00e9dia.<\/p>\n<p> Assim, a regra geral afirma que:<\/p>\n<ul>\n<li> 68% dos valores est\u00e3o dentro de um desvio padr\u00e3o da m\u00e9dia.<\/li>\n<li> 95% dos valores est\u00e3o dentro de dois desvios padr\u00e3o da m\u00e9dia.<\/li>\n<li> 99,7% dos valores est\u00e3o dentro de tr\u00eas desvios padr\u00e3o da m\u00e9dia. <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/regle-empirique.png\" alt=\"regra geral\" class=\"wp-image-2764\" width=\"530\" height=\"435\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-regla-empirica\"><\/span> F\u00f3rmula de regra pr\u00e1tica<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A regra pr\u00e1tica tamb\u00e9m pode ser expressa pelas seguintes f\u00f3rmulas: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e92eaf9290bcca728ecc254cc4db66f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\mu-1\\sigma\\leq X \\leq \\mu+1\\sigma)\\approx 0,6827\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"271\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3e71dd42960bbc41b7e7422a76e2c09c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\mu-2\\sigma\\leq X \\leq \\mu+2\\sigma)\\approx 0,9545\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"270\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e746a83d35dd0de33d187c4b2c901e04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\mu-3\\sigma\\leq X \\leq \\mu+3\\sigma)\\approx 0,9973\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"271\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Ouro<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-996ff7036e644e89f8ac379fa58d0cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 uma observa\u00e7\u00e3o de uma vari\u00e1vel aleat\u00f3ria governada por uma distribui\u00e7\u00e3o normal,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u00e9 a m\u00e9dia da distribui\u00e7\u00e3o e<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> seu desvio padr\u00e3o. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/statorials.org\/pt\/media-aritmetica\/\">Qual \u00e9 a m\u00e9dia aritm\u00e9tica?<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <a href=\"https:\/\/statorials.org\/pt\/desvio-padrao-ou-desvio-padrao\/\">O que \u00e9 desvio padr\u00e3o?<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-regla-empirica\"><\/span> Exemplo de regra pr\u00e1tica<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Agora que sabemos a defini\u00e7\u00e3o da regra emp\u00edrica e qual \u00e9 a sua f\u00f3rmula, vamos ver um exemplo concreto de como calcular os valores representativos da regra emp\u00edrica de uma distribui\u00e7\u00e3o normal.<\/p>\n<ul>\n<li> Sabemos que o n\u00famero anual de nascimentos numa determinada localidade segue uma distribui\u00e7\u00e3o normal com m\u00e9dia de 10.000 e desvio padr\u00e3o de 1.000. Calcule os intervalos caracter\u00edsticos da regra emp\u00edrica desta distribui\u00e7\u00e3o normal.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d09b321949a08b77332ea928d62a8bff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu=10000\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"79\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0135bc054da6b9586f68fb0d8fa10274_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma=1000\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"70\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Conforme explicado acima, as f\u00f3rmulas para calcular intervalos de regras pr\u00e1ticas s\u00e3o:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e92eaf9290bcca728ecc254cc4db66f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\mu-1\\sigma\\leq X \\leq \\mu+1\\sigma)\\approx 0,6827\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"271\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3e71dd42960bbc41b7e7422a76e2c09c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\mu-2\\sigma\\leq X \\leq \\mu+2\\sigma)\\approx 0,9545\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"270\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e746a83d35dd0de33d187c4b2c901e04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\mu-3\\sigma\\leq X \\leq \\mu+3\\sigma)\\approx 0,9973\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"271\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>Portanto, substitu\u00edmos os dados do exerc\u00edcio nas f\u00f3rmulas: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-071728b8171e6298d5d87844d9a7c435_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(10000-1\\cdot 1000\\leq X \\leq 10000+1\\cdot 1000)\\approx 0,6827\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"414\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-cab8ec3bbd5f0a77239069d42c6d3a6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(10000-2\\cdot 1000\\leq X \\leq 10000+2\\cdot 1000)\\approx 0,9545\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"413\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5b65d82fd46ec1867ef7495209fa55b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(10000-3\\cdot 1000\\leq X \\leq 10000+3\\cdot 1000)\\approx 0,9973\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"414\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> E fazendo os c\u00e1lculos, os resultados obtidos s\u00e3o: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e6f922719937bb5efbf52c36cc66012d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(9000\\leq X \\leq 11000)\\approx 0,6827\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-55c2ae5f287da3e1f9b60aefcf4a792c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(8000\\leq X \\leq 12000)\\approx 0,9545\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"246\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b799f69b8991d29afbaf1ca6da4014ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(7000\\leq X \\leq 13000)\\approx 0,9973\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Assim, conclu\u00edmos que existe uma probabilidade de 68,27% de o n\u00famero de nascimentos estar no intervalo [9.000,11.000], uma probabilidade de 95,45% de estar entre [8.000,12.000] e, por fim, uma probabilidade de 99,73%. que est\u00e1 entre [7000,13000]. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tabla-de-valores-de-la-regla-empirica\"><\/span> Tabela de valores de regra pr\u00e1tica<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Al\u00e9m dos valores de 68, 95 e 99,7, outros valores de probabilidade tamb\u00e9m podem ser encontrados utilizando o desvio padr\u00e3o. Abaixo voc\u00ea pode ver uma tabela com as probabilidades de uma distribui\u00e7\u00e3o normal: <\/p>\n<figure class=\"wp-block-table is-style-stripes\">\n<table>\n<thead>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> Limpo<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> Probabilidade<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u03bc \u00b1 0,5\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,382924922548026<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u03bc \u00b1 1\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,682689492137086<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u03bc \u00b1 1,5\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,866385597462284<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u03bc \u00b1 2\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,954499736103642<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u03bc \u00b1 2,5\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,987580669348448<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u03bc \u00b1 3\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,997300203936740<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u00b5\u00b13,5\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,999534741841929<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u03bc \u00b1 4\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,999936657516334<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u03bc \u00b1 4,5\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,999993204653751<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u03bc \u00b1 5\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,999999426696856<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u00b5\u00b15,5\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,999999962020875<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u03bc \u00b1 6\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,999999998026825<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u00b5\u00b16,5\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999999999919680<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u03bc \u00b1 7\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999999999997440<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<p> Todos esses valores num\u00e9ricos na tabela v\u00eam da fun\u00e7\u00e3o de probabilidade cumulativa da distribui\u00e7\u00e3o normal.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Neste artigo voc\u00ea descobrir\u00e1 qual \u00e9 a regra pr\u00e1tica em estat\u00edstica e qual \u00e9 sua f\u00f3rmula. Al\u00e9m disso, voc\u00ea poder\u00e1 ver um exerc\u00edcio passo a passo resolvido com base na regra pr\u00e1tica. Qual \u00e9 a regra pr\u00e1tica? Nas estat\u00edsticas, a regra pr\u00e1tica , tamb\u00e9m chamada de regra 68-95-99,7 , \u00e9 uma regra que define a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-133","post","type-post","status-publish","format-standard","hentry","category-probabilidade"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Qual \u00e9 a regra pr\u00e1tica? 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