{"id":276,"date":"2023-08-03T06:11:34","date_gmt":"2023-08-03T06:11:34","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%a0%b7%e6%9c%ac%e6%a0%87%e5%87%86%e5%b7%ae%e6%88%96%e6%a0%b7%e6%9c%ac%e6%a0%87%e5%87%86%e5%b7%ae\/"},"modified":"2023-08-03T06:11:34","modified_gmt":"2023-08-03T06:11:34","slug":"%e6%a0%b7%e6%9c%ac%e6%a0%87%e5%87%86%e5%b7%ae%e6%88%96%e6%a0%b7%e6%9c%ac%e6%a0%87%e5%87%86%e5%b7%ae","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%a0%b7%e6%9c%ac%e6%a0%87%e5%87%86%e5%b7%ae%e6%88%96%e6%a0%b7%e6%9c%ac%e6%a0%87%e5%87%86%e5%b7%ae\/","title":{"rendered":"\u6837\u672c\u6807\u51c6\u5dee\uff08\u6216\u6837\u672c\u6807\u51c6\u5dee\uff09"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4e86\u7edf\u8ba1\u5b66\u4e2d\u7684\u6837\u672c\u6807\u51c6\u5dee\u3002\u540c\u6837\uff0c\u60a8\u5c06\u5b66\u4e60\u5982\u4f55\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\u3001\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\u4ee5\u53ca\u6837\u672c\u6807\u51c6\u5dee\u548c\u603b\u4f53\u6807\u51c6\u5dee\u4e4b\u95f4\u7684\u533a\u522b\u3002\u6700\u540e\uff0c\u60a8\u53ef\u4ee5\u4f7f\u7528\u5728\u7ebf\u8ba1\u7b97\u5668\u8ba1\u7b97\u4efb\u4f55\u6837\u672c\u6807\u51c6\u5dee\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-desviacion-estandar-muestral\"><\/span>\u6837\u672c\u6807\u51c6\u5dee\u662f\u591a\u5c11\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u6837\u672c\u6807\u51c6\u5dee<\/strong>\uff08\u6216<strong>\u6837\u672c\u6807\u51c6\u5dee<\/strong>\uff09\u662f\u8861\u91cf\u5206\u6563\u5ea6\u7684\u6307\u6807\uff0c\u8868\u660e\u6837\u672c\u7684\u53d8\u5f02\u6027\u3002\u66f4\u51c6\u786e\u5730\u8bf4\uff0c\u6837\u672c\u6807\u51c6\u5dee\u7b49\u4e8e\u504f\u5dee\u5e73\u65b9\u548c\u9664\u4ee5\u6837\u672c\u91cf\u51cf\u4e00\u7684\u5e73\u65b9\u6839\u3002<\/p>\n<p>\u6837\u672c\u6807\u51c6\u5dee\u7684\u7b26\u53f7\u662f\u5c0f\u5199\u5b57\u6bcd<em>s<\/em> \u3002<\/p>\n<p>\u6837\u672c\u6807\u51c6\u5dee\u6709\u65f6\u4e5f\u79f0\u4e3a\u62df\u6807\u51c6\u5dee\uff08\u6216\u51c6\u6807\u51c6\u5dee\uff09\uff0c\u4ee5\u533a\u522b\u4e8e\u603b\u4f53\u6807\u51c6\u5dee\u3002\u4e0b\u9762\u6211\u4eec\u5c06\u770b\u5230\u6837\u672c\u6807\u51c6\u5dee\u4e0e\u603b\u4f53\u6807\u51c6\u5dee\u6709\u4f55\u4e0d\u540c\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-desviacion-estandar-muestral\"><\/span>\u6807\u51c6\u5dee\u516c\u5f0f\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6837\u672c\u6807\u51c6\u5dee\u7b49\u4e8e\u6837\u672c\u6570\u636e\u504f\u5dee\u5e73\u65b9\u548c\u9664\u4ee5\u6837\u672c\u91cf\u51cf\u4e00\u540e\u7684\u5e73\u65b9\u6839\u3002\u56e0\u6b64\uff0c<strong>\u6837\u672c\u6807\u51c6\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-pour-lecart-type-de-lechantillon-ou-lecart-type-de-lechantillon.png\" alt=\"\u6837\u672c\u6807\u51c6\u5dee\u7684\u516c\u5f0f\u6216\u6837\u672c\u6807\u51c6\u5dee.png\" class=\"wp-image-5855\" width=\"352\" height=\"308\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p style=\"margin-bottom:5px\">\u91d1\u5b50\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1edc883862ceed1a21913f60358e31d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u6837\u672c\u6807\u51c6\u5dee\uff08\u6216\u6837\u672c\u6807\u51c6\u5dee\uff09\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\u5927\u5c0f<\/li>\n<li>\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<\/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\u6570\u636e\u6837\u672c\u7684\u6807\u51c6\u5dee\u3002<\/u> <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-del-calculo-de-la-desviacion-estandar-muestral\"><\/span>\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\u7684\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86\u6837\u672c\u6807\u51c6\u5dee\uff08\u6216\u6837\u672c\u6807\u51c6\u5dee\uff09\u7684\u5b9a\u4e49\u53ca\u5176\u516c\u5f0f\u662f\u4ec0\u4e48\uff0c\u6211\u4eec\u5c06\u89e3\u51b3\u4e00\u4e2a\u7b80\u5355\u7684\u793a\u4f8b\u6765\u5b8c\u6210\u5bf9\u5b83\u7684\u8ba1\u7b97\u65b9\u5f0f\u7684\u7406\u89e3\u3002<\/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\u8bb8\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\u6807\u51c6\u5dee\u662f\u591a\u5c11\uff1f<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"> \u20ac98 \u20ac70 \u20ac125 \u20ac89 \u20ac75<\/p>\n<p>\u4e3a\u4e86\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\uff0c\u6211\u4eec\u9996\u5148\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>\u8ba1\u7b97\u51fa\u6837\u672c\u5747\u503c\u540e\uff0c\u6211\u4eec\u5e94\u7528\u6837\u672c\u6807\u51c6\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-aa9643bab4e499ed9535cf199236d8f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle s=\\sqrt{\\frac{\\displaystyle\\sum_{i=1}^n\\left(x_i-\\overline{x}\\right)^2}{n-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"153\" style=\"vertical-align: -18px;\"><\/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-ca5ef69fd4eefbb7b110c4f6f28cd528_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle s=\\sqrt{\\frac{\\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=\"54\" width=\"627\" style=\"vertical-align: -18px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u5269\u4e0b\u7684\u5c31\u662f\u89e3\u51b3\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\u7684\u8fd0\u7b97\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-0a9a5050ca14179085932bb9cc550ebb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle s&amp;=\\sqrt{\\frac{6,6^2+(-21,4)^2+33,6^2+(-2,4)^2+(-16,4)^2}{4}}\\\\[2ex]\\displaystyle s&amp;=\\sqrt{\\frac{43,56+457,96+1128,96+5,76+268,96}{4}}\\\\[2ex]s&amp;=\\sqrt{\\frac{1905,2}{4}}\\\\[2ex]s&amp;=\\sqrt{476,3}\\\\[2ex]s&amp;=21,82 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"257\" width=\"417\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u5206\u6790\u6837\u672c\u7684\u62bd\u6837\u5dee\u5f02\u4e3a 21.82 \u6b27\u5143\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\/\u6837\u672c\u504f\u5dee\/\">\u91c7\u6837\u53d8\u5316<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"desviacion-estandar-muestral-y-desviacion-estandar-poblacional\"><\/span>\u6837\u672c\u6807\u51c6\u5dee\u548c\u603b\u4f53\u6807\u51c6\u5dee<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u770b\u770b\u6837\u672c\u6807\u51c6\u5dee\u548c\u603b\u4f53\u6807\u51c6\u5dee\u4e4b\u95f4\u6709\u4ec0\u4e48\u533a\u522b\uff0c\u56e0\u4e3a\u8fd9\u662f\u6211\u4eec\u9700\u8981\u660e\u786e\u7684\u4e24\u4e2a\u76f8\u5173\u7684\u7edf\u8ba1\u6982\u5ff5\u3002<\/p>\n<p>\u5728estad\u00edstica\u4e2d\uff0c<strong>\u603b\u4f53\u7684\u6807\u51c6\u5dee<\/strong>\u662f\u7528\u603b\u4f53\u7684\u6240\u6709\u5143\u7d20\u8ba1\u7b97\u5f97\u5230\u7684\u6807\u51c6\u5dee\uff0c\u5c3d\u7ba1<strong>\u6807\u51c6\u5dee<\/strong>\u662f\u4ec5\u7528\u603b\u4f53\u4e2d\u7684\u4e00\u4e2a\u6570\u636e\u6837\u672c\u8fdb\u884c\u8ba1\u7b97\u5f97\u5230\u7684\u6807\u51c6\u5dee\u3002<\/p>\n<p>\u4ece\u6570\u5b66\u4e0a\u8bb2\uff0c<strong>\u6837\u672c\u6807\u51c6\u5dee\u548c\u603b\u4f53\u6807\u51c6\u5dee\u4e4b\u95f4\u7684\u5dee\u5f02<\/strong>\u662f\u7528\u4e8e\u8ba1\u7b97\u7684\u516c\u5f0f\u7684\u5206\u6bcd\u3002\u8981\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\uff0c\u5fc5\u987b\u9664\u4ee5n-1\uff0c\u800c\u603b\u4f53\u6807\u51c6\u5dee\u5219\u8981\u9664\u4ee5n\u3002<\/p>\n<p>\u6b64\u5916\uff0c\u4e3a\u4e86\u533a\u5206\u6837\u672c\u6807\u51c6\u5dee\u548c\u603b\u4f53\u6807\u51c6\u5dee\uff0c\u5b83\u4eec\u7528\u4e0d\u540c\u7684\u7b26\u53f7\u8868\u793a\u3002\u6837\u672c\u6807\u51c6\u5dee\u7684\u7b26\u53f7\u662f\u5b57\u6bcd s\uff0c\u800c\u603b\u4f53\u6807\u51c6\u5dee\u7684\u7b26\u53f7\u662f\u5e0c\u814a\u5b57\u6bcd \u03c3\u3002<\/p>\n<p>\u4e00\u822c\u6765\u8bf4\uff0c\u5e76\u975e\u603b\u4f53\u7684\u6240\u6709\u5143\u7d20\u90fd\u662f\u5df2\u77e5\u7684\uff0c\u56e0\u6b64\u7edf\u8ba1\u7814\u7a76\u662f\u5bf9\u603b\u4f53\u6837\u672c\u8fdb\u884c\u7684\u3002\u56e0\u6b64\uff0c\u6837\u672c\u6807\u51c6\u5dee\u7528\u4e8e\u5bf9\u6574\u4e2a\u603b\u4f53\u7684\u6807\u51c6\u5dee\u503c\u8fdb\u884c\u70b9\u4f30\u8ba1\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\/\u6807\u51c6\u5dee\u6216\u6807\u51c6\u5dee\/\">\u603b\u4f53\u6807\u51c6\u5dee<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" 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