{"id":73,"date":"2023-08-05T19:08:48","date_gmt":"2023-08-05T19:08:48","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e7%99%be%e5%88%86%e4%bd%8d%e6%95%b0\/"},"modified":"2023-08-05T19:08:48","modified_gmt":"2023-08-05T19:08:48","slug":"%e7%99%be%e5%88%86%e4%bd%8d%e6%95%b0","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e7%99%be%e5%88%86%e4%bd%8d%e6%95%b0\/","title":{"rendered":"\u767e\u5206\u4f4d\u6570\uff08\u7edf\u8ba1\uff09"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u767e\u5206\u4f4d\u6570\u4ee5\u53ca\u5982\u4f55\u8ba1\u7b97\u5b83\u3002\u60a8\u5c06\u627e\u5230\u5df2\u89e3\u51b3\u7684\u767e\u5206\u4f4d\u6570\u7ec3\u4e60\uff0c\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u4f7f\u7528\u5728\u7ebf\u8ba1\u7b97\u5668\u8ba1\u7b97\u6570\u636e\u6837\u672c\u7684\u4efb\u4f55\u767e\u5206\u4f4d\u6570\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-los-percentiles\"><\/span>\u4ec0\u4e48\u662f\u767e\u5206\u4f4d\u6570\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u767e\u5206\u4f4d\u6570\u662f\u5c06\u4e00\u7ec4\u6709\u5e8f\u6570\u636e\u5206\u4e3a\u4e00\u767e\u7b49\u4efd\u7684\u503c\u3002<\/strong>\u56e0\u6b64\uff0c\u767e\u5206\u4f4d\u8868\u793a\u6570\u636e\u96c6\u7684\u767e\u5206\u6bd4\u4f4e\u4e8e\u8be5\u503c\u7684\u503c\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u7b2c 35 \u4e2a\u767e\u5206\u4f4d\u503c\u9ad8\u4e8e\u89c2\u6d4b\u6570\u636e\u7684 35%\uff0c\u4f46\u4f4e\u4e8e\u5176\u4f59\u6570\u636e\u3002<\/p>\n<p>\u767e\u5206\u4f4d\u6570\u7531\u5927\u5199\u5b57\u6bcdP\u548c\u767e\u5206\u4f4d\u6570\u7d22\u5f15\u8868\u793a\uff0c\u5373\u7b2c1\u4e2a\u767e\u5206\u4f4d\u6570\u4e3aP <sub>1<\/sub> \uff0c\u7b2c40\u4e2a\u767e\u5206\u4f4d\u6570\u4e3aP <sub>40<\/sub> \uff0c\u7b2c79\u4e2a\u767e\u5206\u4f4d\u6570\u4e3aP <sub>79<\/sub> \uff0c\u4f9d\u6b64\u7c7b\u63a8\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/percentiles.png\" alt=\"\u767e\u5206\u4f4d\u6570\" class=\"wp-image-1452\" width=\"338\" height=\"288\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \ud83d\udc49<u style=\"text-decoration-color:#FF8A05;\">\u60a8\u53ef\u4ee5\u4f7f\u7528\u4e0b\u9762\u7684\u8ba1\u7b97\u5668\u6765\u8ba1\u7b97\u4efb\u4f55\u6570\u636e\u96c6\u7684\u767e\u5206\u4f4d\u6570\u3002<\/u><\/p>\n<p>\u540c\u6837\uff0c\u767e\u5206\u4f4d\u6570\u4e0e\u56db\u5206\u4f4d\u6570\u3001\u4e94\u5206\u4f4d\u6570\u548c\u5341\u5206\u4f4d\u6570\u4e00\u8d77\u8861\u91cf\u975e\u4e2d\u5fc3\u4f4d\u7f6e\u3002\u60a8\u53ef\u4ee5\u5728\u6211\u4eec\u7684\u7f51\u7ad9\u4e0a\u67e5\u770b\u6bcf\u79cd\u5206\u4f4d\u6570\u7c7b\u578b\u7684\u542b\u4e49\u3002<\/p>\n<p>\u5e94\u8be5\u6ce8\u610f\u7684\u662f\uff0c\u767e\u5206\u4f4d\u6570\u4e00\u8bcd\u4e5f\u7528\u4e8e\u5c06\u5a74\u513f\u7684\u4f53\u91cd\u548c\u8eab\u9ad8\u4e0e\u5176\u4ed6\u5a74\u513f\u7684\u6807\u51c6\u503c\u8fdb\u884c\u6bd4\u8f83\uff0c\u56e0\u4e3a\u6709\u8bb0\u5f55\u503c\u7684\u751f\u957f\u8868\u53ef\u4ee5\u5e2e\u52a9\u786e\u5b9a\u5a74\u513f\u7684\u751f\u957f\u662f\u5426\u6b63\u786e\u3002 \u3002 \u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-los-percentiles\"><\/span>\u5982\u4f55\u8ba1\u7b97\u767e\u5206\u4f4d\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8981<strong>\u8ba1\u7b97\u7edf\u8ba1\u6570\u636e\u7cfb\u5217\u4e2d\u767e\u5206\u4f4d\u6570\u7684\u4f4d\u7f6e<\/strong>\uff0c\u5fc5\u987b\u5c06\u767e\u5206\u4f4d\u6570\u4e58\u4ee5\u6570\u636e\u70b9\u603b\u6570\u52a0\u4e00\u7684\u603b\u548c\uff0c\u7136\u540e\u5c06\u7ed3\u679c\u9664\u4ee5\u4e00\u767e\u3002<\/p>\n<p>\u56e0\u6b64\uff0c<strong>\u767e\u5206\u4f4d\u516c\u5f0f<\/strong>\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-5fc5a249710b5577ae4d328a066f9943_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{k\\cdot (n+1)}{100} \\qquad k=1, 2, 3,\\ldots ,97,98,99\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"297\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p><strong>\u8bf7\u6ce8\u610f\uff1a<\/strong>\u8fd9\u4e2a\u516c\u5f0f\u544a\u8bc9\u6211\u4eec\u767e\u5206\u4f4d\u6570\u7684\u4f4d\u7f6e\uff0c\u4f46\u4e0d\u662f\u5b83\u7684\u503c\u3002\u767e\u5206\u4f4d\u5c06\u662f\u4f4d\u4e8e\u7531\u516c\u5f0f\u83b7\u5f97\u7684\u4f4d\u7f6e\u7684\u6570\u636e\u3002<\/p>\n<p>\u7136\u800c\uff0c\u6709\u65f6\u8fd9\u4e2a\u516c\u5f0f\u7684\u7ed3\u679c\u4f1a\u7ed9\u6211\u4eec\u4e00\u4e2a\u5341\u8fdb\u5236\u6570\uff0c\u56e0\u6b64\u6211\u4eec\u5fc5\u987b\u6839\u636e\u7ed3\u679c\u662f\u5426\u662f\u5341\u8fdb\u5236\u6570\u6765\u533a\u5206\u4e24\u79cd\u60c5\u51b5\uff1a<\/p>\n<ul>\n<li>\u5982\u679c\u516c\u5f0f\u7684\u7ed3\u679c\u662f<strong>\u4e0d\u5e26\u5c0f\u6570\u90e8\u5206\u7684\u6570\u5b57<\/strong>\uff0c\u5219\u767e\u5206\u4f4d\u6570\u5bf9\u5e94\u4e8e\u4e0a\u5f0f\u6240\u63d0\u4f9b\u4f4d\u7f6e\u7684\u6570\u636e\u3002<\/li>\n<li>\u5982\u679c\u516c\u5f0f\u7ed3\u679c\u662f<strong>\u5e26\u5c0f\u6570\u90e8\u5206\u7684\u6570\u5b57<\/strong>\uff0c\u5219\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u7cbe\u786e\u7684\u767e\u5206\u4f4d\u6570\uff1a<\/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-671e09af64fc816839e3bbc582efd36e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P=x_i+d\\cdot (x_{i+1}-x_i)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"180\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5176\u4e2d<em>x <sub>i<\/sub><\/em>\u548c<em>x <sub>i+1<\/sub><\/em>\u4e3a\u7b2c\u4e00\u4e2a\u516c\u5f0f\u5f97\u5230\u7684\u6570\u6240\u5728\u4f4d\u7f6e\u7684\u6570\u5b57\uff0c <em>d<\/em>\u4e3a\u7b2c\u4e00\u4e2a\u516c\u5f0f\u5f97\u5230\u7684\u6570\u7684\u5c0f\u6570\u90e8\u5206\u3002<\/p>\n<p>\u60a8\u73b0\u5728\u53ef\u80fd\u8ba4\u4e3a\u67e5\u627e\u7edf\u8ba1\u6837\u672c\u6216\u603b\u4f53\u7684\u767e\u5206\u4f4d\u6570\u5f88\u590d\u6742\uff0c\u56e0\u4e3a\u8be5\u65b9\u6cd5\u6d89\u53ca\u8bb8\u591a\u6b65\u9aa4\uff0c\u4f46\u5b9e\u9645\u4e0a\u5f88\u7b80\u5355\u3002\u9605\u8bfb\u4ee5\u4e0b\u4e24\u4e2a\u5177\u4f53\u793a\u4f8b\uff0c\u76f8\u4fe1\u60a8\u4f1a\u66f4\u597d\u5730\u7406\u89e3\u3002<\/p>\n<p><strong>\u6ce8\u610f<\/strong>\uff1a\u79d1\u5b66\u754c\u5c1a\u672a\u5c31\u5982\u4f55\u8ba1\u7b97\u767e\u5206\u4f4d\u6570\u8fbe\u6210\u5b8c\u5168\u4e00\u81f4\uff0c\u56e0\u6b64\u60a8\u53ef\u4ee5\u627e\u5230\u4e00\u672c\u7edf\u8ba1\u4e66\u7c4d\uff0c\u5176\u89e3\u91ca\u7565\u6709\u4e0d\u540c\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-del-calculo-de-percentiles\"><\/span>\u767e\u5206\u4f4d\u6570\u8ba1\u7b97\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b63\u5982\u60a8\u5728\u4e0a\u9762\u5173\u4e8e\u5982\u4f55\u67e5\u627e\u6837\u672c\u767e\u5206\u4f4d\u6570\u7684\u8bf4\u660e\u4e2d\u770b\u5230\u7684\uff0c\u8ba1\u7b97\u7ed3\u679c\u4f1a\u6839\u636e\u7b2c\u4e00\u4e2a\u516c\u5f0f\u7684\u7ed3\u679c\u662f\u5426\u4e3a\u5c0f\u6570\u800c\u6709\u6240\u4e0d\u540c\u3002\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u60a8\u4f1a\u5728\u4e0b\u9762\u627e\u5230\u4e24\u4e2a\u5df2\u89e3\u51b3\u7684\u793a\u4f8b\uff0c\u6bcf\u79cd\u60c5\u51b5\u4e00\u4e2a\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-1\"><\/span>\u5b9e\u65bd\u4f8b1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u6839\u636e\u4e0b\u8868\u4e2d\u663e\u793a\u7684\u6570\u636e\uff0c\u8ba1\u7b97\u7b2c 1\u300143 \u548c 89 \u4e2a\u767e\u5206\u4f4d\u6570\u3002 <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exercice-de-donnees-resolu.png\" alt=\"\" class=\"wp-image-1456\" width=\"213\" height=\"368\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u5982\u4e0a\u4e00\u8282\u6240\u8ff0\uff0c\u67e5\u627e\u767e\u5206\u4f4d\u4f4d\u7f6e\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-5fc5a249710b5577ae4d328a066f9943_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{k\\cdot (n+1)}{100} \\qquad k=1, 2, 3,\\ldots ,97,98,99\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"297\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u5728\u672c\u4f8b\u4e2d\uff0c\u672c\u7ec3\u4e60\u7684\u6837\u672c\u91cf\u4e3a 999 \u4e2a\u7edf\u8ba1\u6570\u636e\uff0c\u56e0\u6b64\u8981\u8ba1\u7b97\u7b2c\u4e00\u4e2a\u767e\u5206\u4f4d\u6570\u7684\u4f4d\u7f6e\uff0c\u6211\u4eec\u9700\u8981\u5c06<em>n<\/em>\u66ff\u6362\u4e3a 999\uff0c\u5c06<em>k<\/em>\u66ff\u6362\u4e3a 1\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-33ffb61d876f9548eb1b8a357c5f76c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{1\\cdot (999+1)}{100}=10\\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad P_1=35\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"352\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u7b2c\u4e00\u4e2a\u767e\u5206\u4f4d\u6570\u5c06\u662f\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u7acb\u5373\u5927\u4e8e 10 \u7684\u767e\u5206\u4f4d\u6570\uff0c\u5728\u672c\u4f8b\u4e2d\u4e3a 35\uff0c\u56e0\u4e3a\u5b83\u7684\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u4e3a 53\u3002<\/p>\n<p>\u8981\u786e\u5b9a\u7b2c 43 \u4e2a\u767e\u5206\u4f4d\u6570\uff0c\u60a8\u5fc5\u987b\u4f7f\u7528\u76f8\u540c\u7684\u516c\u5f0f\uff0c\u4f46\u663e\u7136\uff0c\u8fd9\u6b21\u6211\u4eec\u5c06<em>k<\/em>\u66ff\u6362\u4e3a 43\u3002<\/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-7c4286a3fdc9c40b51b485faea60d6bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{43\\cdot (999+1)}{100}=430\\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad P_{43}=39\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"378\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u7d27\u90bb 430 \u4e4b\u4e0a\u7684\u7edd\u5bf9\u7d2f\u79ef\u9891\u7387\u662f\u6570\u636e 39 \u7684 431\uff0c\u56e0\u6b64\u7b2c 43 \u4e2a\u767e\u5206\u4f4d\u6570\u7b49\u4e8e 39\u3002<\/p>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u5e94\u7528\u76f8\u540c\u7684\u516c\u5f0f\u6765\u83b7\u5f97\u7b2c 89 \u4e2a\u767e\u5206\u4f4d\u6570\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-4ae6a8dc104120d428ac77031818ce6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{89\\cdot (999+1)}{100}=890\\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad P_{89}=44\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"378\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u503c 44 \u7684\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u662f 948\uff0c\u5b83\u7acb\u5373\u5927\u4e8e 890\u3002\u56e0\u6b64\uff0c\u7b2c 89 \u4e2a\u767e\u5206\u4f4d\u6570\u662f 44\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-2\"><\/span>\u5b9e\u65bd\u4f8b2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u67e5\u627e\u4ee5\u4e0b\u6570\u636e\u7cfb\u5217\u7684\u7b2c 35 \u4e2a\u548c 67 \u4e2a\u767e\u5206\u4f4d\u6570\uff1a <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exercice-resolu-donnees-etape-par-etape.png\" alt=\"\" class=\"wp-image-1458\" width=\"214\" height=\"285\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u5373\u4f7f\u5728\u672c\u7ec3\u4e60\u4e2d\u6211\u4eec\u9700\u8981\u8fdb\u884c\u66f4\u591a\u8ba1\u7b97\uff0c\u539f\u7406\u4ecd\u7136\u662f\u76f8\u540c\u7684\uff1a\u6211\u4eec\u5fc5\u987b\u4f7f\u7528\u4ee5\u4e0b\u8868\u8fbe\u5f0f\u8ba1\u7b97\u767e\u5206\u4f4d\u4f4d\u7f6e\u3002<\/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-2a64ffb646e95eb6089d60496e70a1aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{k\\cdot (n+1)}{10} \\qquad k=1, 2, 3,\\ldots ,97,98,99\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"297\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u4e3a\u4e86\u8ba1\u7b97\u7b2c 35 \u4e2a\u767e\u5206\u4f4d\uff0c\u6211\u4eec\u5c06<em>k<\/em>\u66ff\u6362\u4e3a 35\uff0c\u5c06<em>n<\/em>\u66ff\u6362\u4e3a\u6570\u636e\u603b\u6570\uff0c\u5373 700\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-e6651ac0d99d4a0359b88aa1b10aeac6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{35\\cdot (700+1)}{100}=245,35\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"176\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u4f46\u662f\u8fd9\u6b21\u6211\u4eec\u4ece\u516c\u5f0f\u4e2d\u5f97\u5230\u4e86\u4e00\u4e2a\u5c0f\u6570\uff0c\u56e0\u6b64\u6211\u4eec\u9700\u8981\u5e94\u7528\u4ee5\u4e0b\u4ee3\u6570\u8868\u8fbe\u5f0f\u6765\u8ba1\u7b97\u7cbe\u786e\u7684\u767e\u5206\u4f4d\u503c\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-671e09af64fc816839e3bbc582efd36e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P=x_i+d\\cdot (x_{i+1}-x_i)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"180\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u7b2c\u4e00\u4e2a\u516c\u5f0f\u7ed9\u51fa\u7684\u6570\u5b57\u662f245.35\uff0c\u56e0\u6b64\u7b2c35\u4e2a\u767e\u5206\u4f4d\u6570\u4f4d\u4e8e\u4f4d\u7f6e245\u548c246\u4e4b\u95f4\uff0c\u5206\u522b\u5bf9\u5e94\u4e8e\u503c29\u548c29\u3002\u56e0\u6b64\uff0c <em>x <sub>i<\/sub><\/em>\u4e3a29\uff0c <em>x <sub>i+1<\/sub><\/em>\u4e3a29\uff0c <em>d<\/em>\u4e3a\u6240\u5f97\u6570\u7684\u5c0f\u6570\u90e8\u5206\uff0c\u53730.35\u3002<\/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-b82485603c228f340d4b4a9d7e7eaff5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_{35}=29+0,35\\cdot (29-29)=29\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"249\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u8981\u627e\u5230\u7b2c 67 \u4e2a\u767e\u5206\u4f4d\uff0c\u6211\u4eec\u9700\u8981\u4f7f\u7528\u76f8\u540c\u7684\u65b9\u6cd5\u3002\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u767e\u5206\u4f4d\u4f4d\u7f6e\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-ffb17d94f812ed624b9d39fee4fd9066_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{67\\cdot (700+1)}{100}=469,67\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"177\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u5f97\u5230\u7684\u6570\u5b57 469.67 \u8868\u660e\u767e\u5206\u4f4d\u6570\u5c06\u4f4d\u4e8e\u4f4d\u7f6e 469 \u548c 470 \u4e4b\u95f4\uff0c\u5176\u503c\u4e3a 31 \u548c 32\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5728\u8fc7\u7a0b\u4e2d\u4f7f\u7528\u7b2c\u4e8c\u4e2a\u516c\u5f0f\u6765\u67e5\u627e\u51c6\u786e\u7684\u767e\u5206\u4f4d\u6570\u503c\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-c723fa95e7b790e83b76b2256a6305bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_{67}=31+0,67\\cdot (32-31)=31,67\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"274\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-percentiles\"><\/span>\u767e\u5206\u4f4d\u6570\u8ba1\u7b97\u5668<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u4ee5\u4e0b\u8ba1\u7b97\u5668\u4e2d\u8f93\u5165\u7edf\u8ba1\u6570\u636e\u96c6\u548c\u8981\u8ba1\u7b97\u7684\u767e\u5206\u4f4d\u6570\u3002\u6570\u636e\u5fc5\u987b\u7528\u7a7a\u683c\u5206\u9694\uff0c\u5e76\u4f7f\u7528\u53e5\u70b9\u4f5c\u4e3a\u5c0f\u6570\u70b9\u5206\u9694\u7b26\u8f93\u5165\u3002 <\/p>\n<form action=\"\" method=\"post\"><textarea name=\"datos\" style=\"border:1.5px solid #4FC3F7; border-radius:15px;\" placeholder=\"3 4 9 7 2 3.4 1 5.2 11 6 ...\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce los datos aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/textarea><\/p>\n<ul style=\"color:#1c2c92;\">\n<li style=\"margin-bottom:15px; margin-top:15px\"><span style=\"color:#101010;font-weight: normal;\">\u767e\u5206\u4f4d\u6570 = <input name=\"numperc\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; width:40px; color:#000000; background-color:#EBF5FB;\" placeholder=\"35\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el n\u00famero del percentil que quieres calcular aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/span> <\/li>\n<\/ul>\n<div style=\"text-align:center\"><input align=\"center\" style=\"border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"\u8ba1\u7b97\u767e\u5206\u4f4d\u6570\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"percentiles-en-datos-agrupados\"><\/span>\u5206\u7ec4\u6570\u636e\u4e2d\u7684\u767e\u5206\u4f4d\u6570<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8981<strong>\u8ba1\u7b97\u6570\u636e\u5206\u7ec4\u65f6\u7684\u767e\u5206\u4f4d\u6570<\/strong>\uff0c\u6211\u4eec\u9996\u5148\u9700\u8981\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u627e\u5230\u767e\u5206\u4f4d\u6570\u6240\u5c5e\u7684\u7ec4\u6216\u7c7b\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-5fc5a249710b5577ae4d328a066f9943_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{k\\cdot (n+1)}{100} \\qquad k=1, 2, 3,\\ldots ,97,98,99\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"297\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u767e\u5206\u4f4d\u6570\u5c06\u4f4d\u4e8e\u5176\u7edd\u5bf9\u9891\u7387\u7acb\u5373\u5927\u4e8e\u5148\u524d\u8868\u8fbe\u5f0f\u4e2d\u83b7\u5f97\u7684\u6570\u5b57\u7684\u533a\u95f4\u5185\u3002<\/p>\n<p>\u4e00\u65e6\u6211\u4eec\u77e5\u9053\u4e86\u767e\u5206\u4f4d\u6570\u6240\u5c5e\u7684\u533a\u95f4\uff0c\u6211\u4eec\u5c31\u5fc5\u987b\u5e94\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u627e\u5230\u767e\u5206\u4f4d\u6570\u7684\u51c6\u786e\u503c\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-2f4ff93b300a9b052401aed6b25a8391_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_k=L_i+\\cfrac{\\displaystyle\\frac{k\\cdot (n+1)}{100}-F_{i-1}}{f_i}\\cdot I_i \\qquad k=1,2,3,\\ldots ,97,98,99\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"468\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u91d1\u5b50\uff1a<\/p>\n<ul>\n<li> <em><sub>Li<\/sub><\/em>\u662f\u767e\u5206\u4f4d\u6570\u6240\u5728\u533a\u95f4\u7684\u4e0b\u9650\u3002<\/li>\n<li> <em>n<\/em>\u662f\u89c2\u6d4b\u503c\u603b\u6570\u3002<\/li>\n<li> <em>F <sub>i-1<\/sub><\/em>\u662f\u524d\u4e00\u4e2a\u95f4\u9694\u7684\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u3002<\/li>\n<li> <em>f <sub>i<\/sub><\/em>\u662f\u767e\u5206\u4f4d\u6570\u6240\u5728\u533a\u95f4\u7684\u7edd\u5bf9\u9891\u7387\u3002<\/li>\n<li> <em>I <sub>i<\/sub><\/em>\u662f\u767e\u5206\u4f4d\u6570\u95f4\u9694\u7684\u5bbd\u5ea6\u3002<\/li>\n<\/ul>\n<p>\u4e0b\u9762\u662f\u6709\u5173\u5982\u4f55\u5728\u6570\u636e\u4ee5\u533a\u95f4\u8868\u793a\u65f6\u83b7\u53d6\u767e\u5206\u4f4d\u6570\u7684\u5206\u6b65\u7ec3\u4e60\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u8ba1\u7b97\u7b2c 29\u300152 \u548c 98 \u4e2a\u767e\u5206\u4f4d\u6570\u3002 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/intervalles-de-donnees-exercice-etapes-resolues.png\" alt=\"\" class=\"wp-image-1480\" width=\"238\" height=\"286\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u8be5\u6837\u672c\u4e2d\u7684\u6570\u636e\u6309\u533a\u95f4\u5206\u7ec4\uff0c\u56e0\u6b64\u6211\u4eec\u9700\u8981\u6267\u884c\u4e24\u4e2a\u6b65\u9aa4\u6765\u786e\u5b9a\u767e\u5206\u4f4d\u6570\uff1a\u9996\u5148\u6211\u4eec\u9700\u8981\u627e\u5230\u767e\u5206\u4f4d\u6570\u6240\u5c5e\u7684\u533a\u95f4\uff0c\u7136\u540e\u5e94\u7528\u516c\u5f0f\u8ba1\u7b97\u767e\u5206\u4f4d\u6570\u7684\u7cbe\u786e\u503c\u3002\u767e\u5206\u4f4d\u6570\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u4f7f\u7528\u4ee5\u4e0b\u8868\u8fbe\u5f0f\u627e\u5230\u7b2c 29 \u4e2a\u767e\u5206\u4f4d\u7684\u4f4d\u7f6e\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-ad86fd298247a0d861cb2581ff4b05e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{k\\cdot (n+1)}{100}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"78\" style=\"vertical-align: -12px;\"><\/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-6ce045905ddb9acf704ac95e3742ef1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{29\\cdot (500+1)}{100} =145,29 \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad [350,375)\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"408\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u767e\u5206\u4f4d\u6570\u533a\u95f4\u5c06\u662f\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u7acb\u5373\u5927\u4e8e 145.29 \u7684\u533a\u95f4\uff0c\u5728\u672c\u4f8b\u4e2d\u662f\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u4e3a 175 \u7684\u533a\u95f4 [350.375)\u3002\u4e00\u65e6\u6211\u4eec\u77e5\u9053\u4e86\u767e\u5206\u4f4d\u6570\u533a\u95f4\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u5e94\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8ba1\u7b97\u5b83\u51c6\u786e\u503c\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-ae65bda5e1a0b49be63f0ec50c96aec1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_k=L_i+\\cfrac{\\displaystyle\\frac{k\\cdot (n+1)}{100}-F_{i-1}}{f_i}\\cdot I_i\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"248\" style=\"vertical-align: -16px;\"><\/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-eacb049acb88c3dfe170337a974728cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_{29}=350+\\cfrac{\\displaystyle\\frac{29\\cdot (500+1)}{100}-131}{44}\\cdot 25=358,12\" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"359\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u91cd\u590d\u76f8\u540c\u7684\u8fc7\u7a0b\u6765\u8ba1\u7b97\u7b2c 52 \u4e2a\u767e\u5206\u4f4d\u6570\u3002\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u5b83\u7684\u533a\u95f4\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-d06c9e3defabb75d36dd38e79d3fb793_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{52\\cdot (500+1)}{100} =260,52 \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad [400,425)\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"408\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u7b2c 52 \u4e2a\u767e\u5206\u4f4d\u95f4\u9694\u4e3a [400.425)\uff0c\u56e0\u4e3a\u5176\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387 (298) \u7d27\u90bb 260.52 \u4ee5\u4e0a\u3002\u56e0\u6b64\uff0c\u767e\u5206\u4f4d\u7684\u786e\u5207\u503c\u5c06\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-1dcf27eb2a31b50102b9c84d41aeded2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_{52}=400+\\cfrac{\\displaystyle\\frac{52\\cdot (500+1)}{100}-234}{64}\\cdot 25=410,36\" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"360\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u5c06\u627e\u5230\u7b2c 98 \u4e2a\u767e\u5206\u4f4d\u3002\u4e0e\u5f80\u5e38\u4e00\u6837\uff0c\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u5b83\u6240\u5728\u7684\u533a\u95f4\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-fdf4f94fc02b170fed107df06b6bbb9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{98\\cdot (500+1)}{100} =490,98 \\quad \\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad [475,500)\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"408\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u4e00\u65e6\u6211\u4eec\u77e5\u9053\u4e86\u767e\u5206\u4f4d\u6570\u6240\u5728\u7684\u533a\u95f4\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u5176\u7cbe\u786e\u503c\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-b3c01eeb8588f824d30e3b1da9a5ed2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P_{98}=475+\\cfrac{\\displaystyle\\frac{98\\cdot (500+1)}{100}-442}{58}\\cdot 25=496,11\" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"359\" style=\"vertical-align: 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