{"id":1007,"date":"2023-07-28T00:33:24","date_gmt":"2023-07-28T00:33:24","guid":{"rendered":"https:\/\/statorials.org\/pt\/regra-geral\/"},"modified":"2023-07-28T00:33:24","modified_gmt":"2023-07-28T00:33:24","slug":"regra-geral","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/regra-geral\/","title":{"rendered":"Regra pr\u00e1tica de intervalo: defini\u00e7\u00e3o e exemplo"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">A <strong>regra pr\u00e1tica de intervalo<\/strong> fornece uma maneira r\u00e1pida e f\u00e1cil de estimar o desvio padr\u00e3o de um conjunto de dados usando a seguinte f\u00f3rmula:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Desvio padr\u00e3o = intervalo \/ 4<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Essa regra pr\u00e1tica \u00e0s vezes \u00e9 usada porque permite estimar o desvio padr\u00e3o de um conjunto de dados simplesmente usando dois valores (o valor m\u00ednimo e o valor m\u00e1ximo) em vez de cada valor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo: regra pr\u00e1tica de intervalo<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Suponha que temos o seguinte conjunto de dados de 20 valores:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>4, 5, 5, 8, 13, 14, 16, 18, 22, 24, 26, 28, 30, 31, 31, 34, 36, 38, 39, 39<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">O desvio padr\u00e3o real desses valores \u00e9 <strong>11,681<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Usando a regra pr\u00e1tica para intervalos, estimar\u00edamos o desvio padr\u00e3o em (39-4)\/4 = <strong>8,75<\/strong> . Este valor est\u00e1 um pouco pr\u00f3ximo do desvio padr\u00e3o real.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Precau\u00e7\u00f5es para usar a regra pr\u00e1tica de intervalo<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A vantagem \u00f3bvia da regra pr\u00e1tica para dist\u00e2ncias \u00e9 que ela \u00e9 incrivelmente simples e r\u00e1pida de calcular. Tudo o que precisamos saber \u00e9 o valor m\u00ednimo e o valor m\u00e1ximo do conjunto de dados.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A desvantagem da regra pr\u00e1tica para intervalos \u00e9 que ela tende a funcionar bem apenas quando os dados v\u00eam de uma <a href=\"https:\/\/statorials.org\/pt\/a-distribuicao-normal\/\" target=\"_blank\" rel=\"noopener noreferrer\">distribui\u00e7\u00e3o normal<\/a> e o tamanho da amostra est\u00e1 em torno de 30. Quando essas condi\u00e7\u00f5es n\u00e3o s\u00e3o atendidas, a regra pr\u00e1tica do escopo n\u00e3o funciona bem .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Alternativa \u00e0 regra pr\u00e1tica de intervalo<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Em um<\/span> <a href=\"https:\/\/scholar.rose-hulman.edu\/cgi\/viewcontent.cgi?article=1211&amp;context=rhumj\" target=\"_blank\" rel=\"noopener noreferrer\">artigo de 2012<\/a> <span style=\"color: #000000;\">no <em>Rose-Hulman Undergraduate Mathematics Journal<\/em> , Ramirez e Cox sugeriram usar a seguinte f\u00f3rmula como uma melhoria em rela\u00e7\u00e3o \u00e0 regra pr\u00e1tica:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Desvio padr\u00e3o = intervalo \/ (3\u221a(ln <em>(n)<\/em> )-1,5)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">onde <em>n<\/em> \u00e9 o tamanho da amostra.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Considere o mesmo conjunto de dados que usamos antes:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>4, 5, 5, 8, 13, 14, 16, 18, 22, 24, 26, 28, 30, 31, 31, 34, 36, 38, 39, 39<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Usando esta f\u00f3rmula, calcular\u00edamos o desvio padr\u00e3o como <strong>35\/ (3\u221a(ln(20))-1,5)<\/strong> = <strong>9,479<\/strong> .<\/span> <span style=\"color: #000000;\">Este valor est\u00e1 mais pr\u00f3ximo do desvio padr\u00e3o real de <strong>11,681<\/strong> em compara\u00e7\u00e3o com a estimativa emp\u00edrica de <strong>8,75<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Esta f\u00f3rmula \u00e9 um pouco mais complicada de calcular do que a regra pr\u00e1tica, mas tende a fornecer uma estimativa mais precisa do desvio padr\u00e3o quando os dados n\u00e3o prov\u00eam de uma distribui\u00e7\u00e3o normal ou quando o tamanho da amostra n\u00e3o \u00e9 pr\u00f3ximo de 30.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> Calculadora de regra pr\u00e1tica de intervalo<br \/> Medidas de dispers\u00e3o: defini\u00e7\u00e3o e exemplos<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A regra pr\u00e1tica de intervalo fornece uma maneira r\u00e1pida e f\u00e1cil de estimar o desvio padr\u00e3o de um conjunto de dados usando a seguinte f\u00f3rmula: Desvio padr\u00e3o = intervalo \/ 4 Essa regra pr\u00e1tica \u00e0s vezes \u00e9 usada porque permite estimar o desvio padr\u00e3o de um conjunto de dados simplesmente usando dois valores (o valor [&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-1007","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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