{"id":267,"date":"2023-08-03T09:33:05","date_gmt":"2023-08-03T09:33:05","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%a0%b7%e6%9c%ac%e5%81%8f%e5%b7%ae\/"},"modified":"2023-08-03T09:33:05","modified_gmt":"2023-08-03T09:33:05","slug":"%e6%a0%b7%e6%9c%ac%e5%81%8f%e5%b7%ae","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%a0%b7%e6%9c%ac%e5%81%8f%e5%b7%ae\/","title":{"rendered":"\u6837\u672c\u65b9\u5dee"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u4ec0\u4e48\u662f\u7edf\u8ba1\u5b66\u4e2d\u7684\u6837\u672c\u65b9\u5dee\u4ee5\u53ca\u6837\u672c\u65b9\u5dee\u548c\u603b\u4f53\u65b9\u5dee\u4e4b\u95f4\u7684\u533a\u522b\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u6837\u672c\u7684\u65b9\u5dee\u3001\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff0c\u4ee5\u53ca\u7528\u4e8e\u67e5\u627e\u4efb\u4f55\u6837\u672c\u7684\u65b9\u5dee\u7684\u5728\u7ebf\u8ba1\u7b97\u5668\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-varianza-muestral\"><\/span>\u4ec0\u4e48\u662f\u6837\u672c\u65b9\u5dee\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u6837\u672c\u65b9\u5dee<\/strong>\u662f\u79bb\u6563\u5ea6\u7684\u5ea6\u91cf\uff0c\u8868\u660e\u7edf\u8ba1\u6837\u672c\u7684\u53d8\u5f02\u6027\u3002\u8981\u8ba1\u7b97\u6837\u672c\u65b9\u5dee\uff0c\u8bf7\u5c06\u6240\u6709\u6837\u672c\u6b8b\u5dee\u7684\u5e73\u65b9\u76f8\u52a0\uff0c\u7136\u540e\u9664\u4ee5\u6837\u672c\u5927\u5c0f\u51cf\u4e00\u3002<\/p>\n<p>\u6837\u672c\u65b9\u5dee\u7684\u7b26\u53f7\u662f s <sup>2<\/sup> \u3002<\/p>\n<p>\u6837\u672c\u65b9\u5dee\u503c\u7684\u89e3\u91ca\u5f88\u7b80\u5355\uff1a\u6837\u672c\u65b9\u5dee\u503c\u8d8a\u5927\uff0c\u6837\u672c\u6570\u636e\u8d8a\u5206\u6563\u3002\u56e0\u6b64\uff0c\u6837\u672c\u65b9\u5dee\u503c\u8f83\u5927\u610f\u5473\u7740\u6570\u636e\u5f7c\u6b64\u76f8\u8ddd\u8f83\u8fdc\uff0c\u800c\u6837\u672c\u65b9\u5dee\u503c\u8f83\u5c0f\u5219\u8868\u660e\u6570\u636e\u5f7c\u6b64\u975e\u5e38\u63a5\u8fd1\u3002\u7136\u800c\uff0c\u5728\u89e3\u91ca\u6837\u672c\u65b9\u5dee\u65f6\uff0c\u5fc5\u987b\u5c0f\u5fc3<a href=\"https:\/\/statorials.org\/cn\/\u79bb\u7fa4\u503c-\u79bb\u7fa4\u503c\/\">\u5f02\u5e38\u503c<\/a>\uff0c\u56e0\u4e3a\u5b83\u4eec\u53ef\u80fd\u4f1a\u626d\u66f2\u6837\u672c\u65b9\u5dee\u503c\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-varianza-muestral\"><\/span>\u65b9\u5dee\u516c\u5f0f\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6837\u672c\u65b9\u5dee\u7b49\u4e8e\u6837\u672c\u6b8b\u5dee\u7684\u5e73\u65b9\u548c\u9664\u4ee5\u89c2\u6d4b\u503c\u603b\u6570\u51cf\u4e00\u3002<\/p>\n<p>\u56e0\u6b64\uff0c<strong>\u6837\u672c\u65b9\u5dee\u7684\u8ba1\u7b97\u516c\u5f0f<\/strong>\u4e3a\uff1a <\/p>\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\/formule-de-variance-de-lechantillon.png\" alt=\"\u6837\u672c\u65b9\u5dee\u516c\u5f0f\" class=\"wp-image-5705\" width=\"330\" height=\"276\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p style=\"margin-bottom:5px\">\u91d1\u5b50\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:3px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3ab572e85f9cb7cb6f495387f2a6ab0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6837\u672c\u65b9\u5dee\u3002<\/li>\n<li style=\"margin-bottom:3px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a39858a792fb4fe9a3173e004701f2a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6837\u672c\u5747\u503c\u3002<\/li>\n<li style=\"margin-bottom:3px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p>\u662f\u6570\u636e\u503c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-31318c5dcb226c69e0818e5f7d2422b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u3002<\/li>\n<li style=\"margin-bottom:3px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6837\u672c\u4e2d\u6570\u636e\u9879\u7684\u603b\u6570\u3002<\/li>\n<\/ul>\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\u6837\u672c\u6570\u636e\u7684\u65b9\u5dee\u3002<\/u> <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-del-calculo-de-la-varianza-muestral\"><\/span>\u504f\u5dee\u8ba1\u7b97\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e00\u65e6\u6211\u4eec\u4e86\u89e3\u4e86\u6837\u672c\u65b9\u5dee\u7684\u5b9a\u4e49\u53ca\u5176\u516c\u5f0f\u662f\u4ec0\u4e48\uff0c\u6211\u4eec\u5c06\u89e3\u51b3\u4e00\u4e2a\u7b80\u5355\u7684\u4f8b\u5b50\u6765\u7406\u89e3\u5b83\u662f\u5982\u4f55\u8ba1\u7b97\u7684\uff1a<\/p>\n<ul>\n<li>\u4e00\u5bb6\u978b\u4e1a\u516c\u53f8\u6b63\u5728\u8fdb\u884c\u5e02\u573a\u8c03\u67e5\uff0c\u4ee5\u51b3\u5b9a\u662f\u5426\u63a8\u51fa\u65b0\u978b\u6b3e\u3002\u56e0\u4e3a\u6709\u5f88\u591a\u4e0d\u540c\u7684\u578b\u53f7\uff0c\u5e76\u4e14\u60a8\u53ea\u60f3\u8fdb\u884c\u5feb\u901f\u7684\u521d\u6b65\u5206\u6790\uff0c\u6240\u4ee5\u60a8\u51b3\u5b9a\u53ea\u67e5\u770b\u524d\u4e94\u4e2a\u7ade\u4e89\u978b\u54c1\u724c\u7684\u6837\u672c\u4ef7\u683c\uff08\u4ef7\u683c\u5982\u4e0b\u6240\u793a\uff09\u3002\u8be5\u6570\u636e\u96c6\u7684\u6837\u672c\u65b9\u5dee\u662f\u591a\u5c11\uff1f<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"> \u20ac98 \u20ac70 \u20ac125 \u20ac89 \u20ac75<\/p>\n<p>\u9996\u5148\uff0c\u6211\u4eec\u9700\u8981\u8ba1\u7b97<a href=\"https:\/\/statorials.org\/cn\/\u6837\u672c\u5e73\u5747\u503c\/\">\u6837\u672c\u5747\u503c<\/a>\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-129bc4568ffeb630fec0f50f68232d78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}=\\cfrac{98+70+125+89+75}{5}=91,4\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"278\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86\u6837\u672c\u5747\u503c\uff0c\u6211\u4eec\u5e94\u7528\u6837\u672c\u65b9\u5dee\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-4d44545d85232885fa19f4c074ee8cfd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s^2=\\cfrac{\\displaystyle\\sum_{i=1}^n\\left(x_i-\\overline{x}\\right)^2}{n-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"143\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u5c06\u6837\u672c\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-09aa21cb5332280eece6ee18282beaf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s^2=\\cfrac{\\displaystyle (98-91,4)^2+(70-91,4)^2+(125-91,4)^2+(89-91,4)^2+(75-91,4)^2}{5-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"615\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u5269\u4e0b\u7684\u5c31\u662f\u89e3\u51b3\u8ba1\u7b97\u6837\u672c\u65b9\u5dee\u7684\u64cd\u4f5c\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-452d40b912c0189b2fda06f894e2b0da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}s^2&amp;=\\cfrac{6,6^2+(-21,4)^2+33,6^2+(-2,4)^2+(-16,4)^2}{4}\\\\[2ex]s^2&amp;=\\cfrac{43,56+457,96+1128,96+5,76+268,96}{4}\\\\[2ex]s^2&amp;= \\cfrac{1905,2}{4} \\\\[2ex]s^2&amp;=476,3 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"208\" width=\"405\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u5206\u6790\u6837\u672c\u7684\u65b9\u5dee\u4e3a \u20ac476.3 <sup>2<\/sup> \u3002\u8bf7\u6ce8\u610f\uff0c\u6837\u672c\u65b9\u5dee\u7684\u5355\u4f4d\u4e0e\u7edf\u8ba1\u6570\u636e\u7684\u5355\u4f4d\u76f8\u540c\uff0c\u53ea\u662f\u5e73\u65b9\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianza-muestral-y-varianza-poblacional\"><\/span>\u6837\u672c\u65b9\u5dee\u548c\u603b\u4f53\u65b9\u5dee<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u672c\u8282\u4e2d\uff0c\u6211\u4eec\u5c06\u770b\u5230\u6837\u672c\u65b9\u5dee\u548c\u603b\u4f53\u65b9\u5dee\u4e4b\u95f4\u7684\u5dee\u5f02\uff0c\u56e0\u4e3a\u5b83\u4eec\u662f\u4e24\u4e2a\u7edf\u8ba1\u6982\u5ff5\uff0c\u4e86\u89e3\u5982\u4f55\u533a\u5206\u5b83\u4eec\u975e\u5e38\u91cd\u8981\u3002<\/p>\n<p>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c<strong>\u603b\u4f53\u65b9\u5dee<\/strong>\u662f\u5bf9\u603b\u4f53\u4e2d\u6240\u6709\u5143\u7d20\u8fdb\u884c\u8ba1\u7b97\u5f97\u5230\u7684\u65b9\u5dee\uff0c\u800c<strong>\u6837\u672c\u65b9\u5dee<\/strong>\u662f\u4ec5\u5bf9\u603b\u4f53\u4e2d\u7684\u4e00\u90e8\u5206\u6570\u636e\u8fdb\u884c\u8ba1\u7b97\u5f97\u5230\u7684\u65b9\u5dee\u3002<\/p>\n<p>\u4ece\u6570\u5b66\u4e0a\u8bb2\uff0c<strong>\u6837\u672c\u65b9\u5dee\u548c\u603b\u4f53\u65b9\u5dee\u4e4b\u95f4\u7684\u5dee\u5f02<\/strong>\u662f\u7528\u4e8e\u8ba1\u7b97\u5b83\u7684\u516c\u5f0f\u7684\u5206\u6bcd\u3002\u8981\u8ba1\u7b97\u6837\u672c\u65b9\u5dee\uff0c\u5fc5\u987b\u9664\u4ee5 n-1\u3002\u7136\u800c\uff0c\u603b\u4f53\u65b9\u5dee\u662f\u901a\u8fc7\u9664\u4ee5 n \u6765\u8ba1\u7b97\u7684\u3002<\/p>\n<p>\u4e3a\u4e86\u533a\u5206\u6837\u672c\u65b9\u5dee\u548c\u603b\u4f53\u65b9\u5dee\uff0c\u4f7f\u7528\u4e86\u4e0d\u540c\u7684\u7b26\u53f7\u3002\u6837\u672c\u65b9\u5dee\u7684\u7b26\u53f7\u662f<sup>s2<\/sup> \uff0c\u800c\u603b\u4f53\u65b9\u5dee\u7684\u7b26\u53f7\u662f<sup>\u03c32<\/sup> \u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u6837\u672c\u65b9\u5dee\u7528\u4e8e\u4f30\u8ba1\u6574\u4e2a\u603b\u4f53\u65b9\u5dee\u7684\u771f\u5b9e\u503c\uff0c\u56e0\u4e3a\u901a\u5e38\u4e0d\u53ef\u80fd\u77e5\u9053\u603b\u4f53\u7684\u6240\u6709\u503c\uff0c\u56e0\u6b64\u5fc5\u987b\u5bf9\u5176\u7edf\u8ba1\u53c2\u6570\u8fdb\u884c\u8fd1\u4f3c\u3002 \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>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u65b9\u5dee\/\">\u603b\u4f53\u65b9\u5dee<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-varianza-muestral\"><\/span>\u95f4\u9699\u8ba1\u7b97\u5668\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5c06\u6837\u672c\u6570\u636e\u8f93\u5165\u4ee5\u4e0b\u8ba1\u7b97\u5668\u4ee5\u8ba1\u7b97\u5176\u6837\u672c\u65b9\u5dee\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=\"8 2 1 5.7 6 ...\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce los datos aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/textarea><\/p>\n<div 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