{"id":135,"date":"2023-08-05T02:39:38","date_gmt":"2023-08-05T02:39:38","guid":{"rendered":"https:\/\/statorials.org\/it\/regola-del-pollice\/"},"modified":"2023-08-05T02:39:38","modified_gmt":"2023-08-05T02:39:38","slug":"regola-del-pollice","status":"publish","type":"post","link":"https:\/\/statorials.org\/it\/regola-del-pollice\/","title":{"rendered":"Regola generale"},"content":{"rendered":"<p>In questo articolo scoprirai qual \u00e8 la regola pratica in statistica e qual \u00e8 la sua formula. Inoltre, sarai in grado di vedere un esercizio passo passo risolto sulla regola pratica. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-regla-empirica\"><\/span> Qual \u00e8 la regola pratica?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> In statistica, la <strong>regola pratica<\/strong> , chiamata anche <strong>regola 68-95-99.7<\/strong> , \u00e8 una regola che definisce la percentuale di valori in una distribuzione normale che rientrano in tre deviazioni standard della media.<\/p>\n<p> Quindi la regola generale prevede che:<\/p>\n<ul>\n<li> Il 68% dei valori rientra in una deviazione standard dalla media.<\/li>\n<li> Il 95% dei valori si trova entro due deviazioni standard dalla media.<\/li>\n<li> Il 99,7% dei valori rientra nelle tre deviazioni standard della media. <\/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=\"regola generale\" class=\"wp-image-2764\" width=\"530\" height=\"435\" srcset=\"\" sizes=\"\"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-regla-empirica\"><\/span> Formula della regola empirica<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> La regola pratica pu\u00f2 essere espressa anche con le seguenti formule: <\/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> Oro<\/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> \u00e8 un&#8217;osservazione di una variabile casuale governata da una distribuzione normale,<\/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> \u00e8 la media della distribuzione 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> la sua deviazione standard. <\/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>Vedi:<\/strong> <a href=\"https:\/\/statorials.org\/it\/media-aritmetica\/\">Qual \u00e8 la media aritmetica?<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Vedi:<\/strong> <a href=\"https:\/\/statorials.org\/it\/deviazione-standard-o-deviazione-standard\/\">Cos&#8217;\u00e8 la deviazione standard?<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-regla-empirica\"><\/span> Esempio di regola pratica<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Ora che conosciamo la definizione di regola empirica e qual \u00e8 la sua formula, vediamo un esempio concreto su come calcolare i valori rappresentativi della regola empirica di una distribuzione normale.<\/p>\n<ul>\n<li> Sappiamo che il numero annuo di nascite in una data localit\u00e0 segue una distribuzione normale con una media di 10.000 e una deviazione standard di 1.000. Calcolare gli intervalli caratteristici della regola empirica di questa distribuzione normale.<\/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> Come spiegato sopra, le formule per calcolare gli intervalli della regola pratica sono:<\/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>Pertanto, sostituiamo i dati dell&#8217;esercizio nelle formule: <\/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 facendo i calcoli i risultati ottenuti sono: <\/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\"> Pertanto, concludiamo che esiste una probabilit\u00e0 del 68,27% che il numero di nascite sia compreso nell&#8217;intervallo [9000,11000], una probabilit\u00e0 del 95,45% che sia compreso tra [8000,12000] e, infine, una probabilit\u00e0 del 99,73% che \u00e8 compreso tra [7000,13000]. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tabla-de-valores-de-la-regla-empirica\"><\/span> Tabella dei valori delle regole empiriche<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Oltre ai valori 68, 95 e 99,7, utilizzando la deviazione standard si possono trovare anche altri valori di probabilit\u00e0. Di seguito puoi vedere una tabella con le probabilit\u00e0 per una distribuzione normale: <\/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\"> Ordinato<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> Probabilit\u00e0<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u00b5\u00b10,5\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\"> \u00b5\u00b11\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\"> \u00b5\u00b11,5\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\"> \u00b5\u00b12\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\"> \u00b5\u00b12,5\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\"> \u00b5\u00b13\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\"> \u00b5\u00b14\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\"> \u00b5\u00b14,5\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\"> \u00b5\u00b15\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\"> \u00b5\u00b16\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\"> \u00b5\u00b17\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> Tutti questi valori numerici nella tabella provengono dalla funzione di probabilit\u00e0 cumulativa della distribuzione normale.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In questo articolo scoprirai qual \u00e8 la regola pratica in statistica e qual \u00e8 la sua formula. Inoltre, sarai in grado di vedere un esercizio passo passo risolto sulla regola pratica. Qual \u00e8 la regola pratica? In statistica, la regola pratica , chiamata anche regola 68-95-99.7 , \u00e8 una regola che definisce la percentuale di [&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":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Qual \u00e8 la regola pratica? 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Con una vasta esperienza e competenza nel campo della statistica, sono ansioso di condividere le mie conoscenze per potenziare gli studenti attraverso Statorials. Scopri di pi\u00f9\",\"sameAs\":[\"https:\/\/statorials.org\/it\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u25b7 Qual \u00e8 la regola pratica? (formula ed esempio)","description":"Qui troverai qual \u00e8 la regola pratica in statistica, qual \u00e8 la sua formula e un esempio concreto passo dopo passo della regola pratica.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/it\/regola-del-pollice\/","og_locale":"it_IT","og_type":"article","og_title":"\u25b7 Qual \u00e8 la regola pratica? 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