{"id":135,"date":"2023-08-05T02:39:38","date_gmt":"2023-08-05T02:39:38","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e7%bb%8f%e9%aa%8c%e6%b3%95%e5%88%99\/"},"modified":"2023-08-05T02:39:38","modified_gmt":"2023-08-05T02:39:38","slug":"%e7%bb%8f%e9%aa%8c%e6%b3%95%e5%88%99","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e7%bb%8f%e9%aa%8c%e6%b3%95%e5%88%99\/","title":{"rendered":"\u4e00\u822c\u89c4\u5219"},"content":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u60a8\u5c06\u4e86\u89e3\u7edf\u8ba1\u5b66\u4e2d\u7684\u7ecf\u9a8c\u6cd5\u5219\u662f\u4ec0\u4e48\u53ca\u5176\u516c\u5f0f\u662f\u4ec0\u4e48\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u53ef\u4ee5\u6839\u636e\u7ecf\u9a8c\u770b\u5230\u5df2\u89e3\u51b3\u7684\u5206\u6b65\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-regla-empirica\"><\/span>\u7ecf\u9a8c\u6cd5\u5219\u662f\u4ec0\u4e48\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c<strong>\u7ecf\u9a8c\u6cd5\u5219<\/strong>\uff0c\u4e5f\u79f0\u4e3a<strong>68-95-99.7 \u89c4\u5219<\/strong>\uff0c\u662f\u5b9a\u4e49\u6b63\u6001\u5206\u5e03\u4e2d\u843d\u5728\u5e73\u5747\u503c\u7684\u4e09\u4e2a\u6807\u51c6\u5dee\u8303\u56f4\u5185\u7684\u503c\u7684\u767e\u5206\u6bd4\u7684\u89c4\u5219\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u4e00\u822c\u89c4\u5219\u89c4\u5b9a\uff1a<\/p>\n<ul>\n<li> 68% \u7684\u503c\u5728\u5e73\u5747\u503c\u7684\u4e00\u4e2a\u6807\u51c6\u5dee\u4e4b\u5185\u3002<\/li>\n<li> 95% \u7684\u503c\u5728\u5e73\u5747\u503c\u7684\u4e24\u4e2a\u6807\u51c6\u5dee\u4e4b\u5185\u3002<\/li>\n<li> 99.7% \u7684\u503c\u5728\u5e73\u5747\u503c\u7684\u4e09\u4e2a\u6807\u51c6\u5dee\u4e4b\u5185\u3002 <\/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=\"\u4e00\u822c\u89c4\u5219\" 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>\u7ecf\u9a8c\u6cd5\u5219\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7ecf\u9a8c\u6cd5\u5219\u4e5f\u53ef\u4ee5\u7528\u4ee5\u4e0b\u516c\u5f0f\u8868\u793a\uff1a <\/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>\u91d1\u5b50<\/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>\u662f\u5bf9\u670d\u4ece\u6b63\u6001\u5206\u5e03\u7684\u968f\u673a\u53d8\u91cf\u7684\u89c2\u5bdf\uff0c<\/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>\u662f\u5206\u5e03\u7684\u5747\u503c\u5e76\u4e14<\/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>\u5b83\u7684\u6807\u51c6\u5dee\u3002 <\/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>\u67e5\u770b\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u7b97\u672f\u5e73\u5747\u6570\/\">\u7b97\u672f\u5e73\u5747\u503c\u662f\u591a\u5c11\uff1f<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u6807\u51c6\u5dee\u6216\u6807\u51c6\u5dee\/\">\u4ec0\u4e48\u662f\u6807\u51c6\u5dee\uff1f<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-regla-empirica\"><\/span>\u7ecf\u9a8c\u6cd5\u5219\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86\u7ecf\u9a8c\u89c4\u5219\u7684\u5b9a\u4e49\u53ca\u5176\u516c\u5f0f\u662f\u4ec0\u4e48\uff0c\u8ba9\u6211\u4eec\u770b\u4e00\u4e2a\u5177\u4f53\u7684\u4f8b\u5b50\u6765\u8ba1\u7b97\u5982\u4f55\u8ba1\u7b97\u6b63\u6001\u5206\u5e03\u7684\u7ecf\u9a8c\u89c4\u5219\u7684\u4ee3\u8868\u503c\u3002<\/p>\n<ul>\n<li>\u6211\u4eec\u77e5\u9053\uff0c\u67d0\u4e2a\u5730\u533a\u7684\u5e74\u51fa\u751f\u4eba\u6570\u670d\u4ece\u6b63\u6001\u5206\u5e03\uff0c\u5e73\u5747\u503c\u4e3a 10,000\uff0c\u6807\u51c6\u5dee\u4e3a 1,000\u3002\u8ba1\u7b97\u8be5\u6b63\u6001\u5206\u5e03\u7684\u7ecf\u9a8c\u89c4\u5219\u7684\u7279\u5f81\u533a\u95f4\u3002<\/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>\u5982\u4e0a\u6240\u8ff0\uff0c\u8ba1\u7b97\u7ecf\u9a8c\u95f4\u9694\u7684\u516c\u5f0f\u4e3a\uff1a<\/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>\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u7ec3\u4e60\u6570\u636e\u4ee3\u5165\u516c\u5f0f\uff1a <\/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>\u901a\u8fc7\u8ba1\u7b97\uff0c\u5f97\u5230\u7684\u7ed3\u679c\u662f\uff1a <\/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\">\u56e0\u6b64\uff0c\u6211\u4eec\u5f97\u51fa\u7ed3\u8bba\uff0c\u51fa\u751f\u4eba\u6570\u5728 [9000,11000] \u533a\u95f4\u5185\u7684\u6982\u7387\u4e3a 68.27%\uff0c\u5728 [8000,12000] \u533a\u95f4\u5185\u7684\u6982\u7387\u4e3a 95.45%\uff0c\u6700\u540e\u7684\u6982\u7387\u4e3a 99.73%\u5b83\u5728 [7000,13000] \u4e4b\u95f4\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tabla-de-valores-de-la-regla-empirica\"><\/span>\u7ecf\u9a8c\u503c\u8868<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u9664\u4e8668\u300195\u548c99.7\u7684\u503c\u4e4b\u5916\uff0c\u8fd8\u53ef\u4ee5\u4f7f\u7528\u6807\u51c6\u5dee\u627e\u5230\u5176\u4ed6\u6982\u7387\u503c\u3002\u60a8\u53ef\u4ee5\u5728\u4e0b\u9762\u770b\u5230\u4e00\u4e2a\u5305\u542b\u6b63\u6001\u5206\u5e03\u6982\u7387\u7684\u8868\u683c\uff1a <\/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\">\u6574\u9f50\u7684<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\">\u53ef\u80fd\u6027<\/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\"> 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