{"id":94,"date":"2023-08-05T13:21:16","date_gmt":"2023-08-05T13:21:16","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e8%89%b2%e6%95%a3%e6%b5%8b%e9%87%8f\/"},"modified":"2023-08-05T13:21:16","modified_gmt":"2023-08-05T13:21:16","slug":"%e8%89%b2%e6%95%a3%e6%b5%8b%e9%87%8f","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e8%89%b2%e6%95%a3%e6%b5%8b%e9%87%8f\/","title":{"rendered":"\u8272\u6563\u6d4b\u91cf"},"content":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u60a8\u5c06\u4e86\u89e3\u4ec0\u4e48\u662f\u5206\u6563\u5ea6\u91cf\u4ee5\u53ca\u8fd9\u4e9b\u7edf\u8ba1\u6307\u6807\u7684\u7528\u9014\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u6bcf\u4e2a\u5206\u6563\u5ea6\u91cf\u662f\u5982\u4f55\u8ba1\u7b97\u7684\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-las-medidas-de-dispersion\"><\/span>\u4ec0\u4e48\u662f\u5206\u6563\u63aa\u65bd\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u79bb\u6563\u5ea6\u5ea6\u91cf<\/strong>\u662f\u6307\u793a\u6570\u636e\u96c6\u79bb\u6563\u5ea6\u7684\u7edf\u8ba1\u5ea6\u91cf\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5206\u6563\u5ea6\u91cf\u7528\u4e8e\u8bc4\u4f30\u6837\u672c\u4e2d\u6570\u636e\u7684\u5206\u6563\u7a0b\u5ea6\u3002<\/p>\n<p>\u79bb\u5dee\u6d4b\u5ea6\u4e5f\u79f0\u4e3a<strong>\u53d8\u5f02\u6d4b\u5ea6<\/strong>\u6216<strong>\u6269\u6563\u6d4b\u5ea6<\/strong>\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcuales-son-las-medidas-de-dispersion\"><\/span>\u5206\u6563\u63aa\u65bd\u6709\u54ea\u4e9b\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5206\u6563\u63aa\u65bd<\/strong>\u5982\u4e0b\uff1a<\/p>\n<ul>\n<li>\u6807\u51c6\u5dee\uff08\u6216\u6807\u51c6\u5dee\uff09<\/li>\n<li>\u65b9\u5dee<\/li>\n<li>\u53d8\u5f02\u7cfb\u6570<\/li>\n<li>\u6574\u9f50\u7684<\/li>\n<li>\u56db\u5206\u4f4d\u6570\u8303\u56f4<\/li>\n<li>\u4e2d\u7b49\u5dee\u5f02<\/li>\n<\/ul>\n<p>\u4e0b\u9762\u89e3\u91ca\u5982\u4f55\u786e\u5b9a\u6bcf\u4e2a\u5206\u6563\u5ea6\u91cf\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"desviacion-estandar\"><\/span>\u6807\u51c6\u5dee<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u6807\u51c6\u5dee<\/strong>\uff0c\u4e5f\u79f0\u4e3a<strong>\u5178\u578b\u504f\u5dee<\/strong>\uff0c\u7b49\u4e8e\u6570\u636e\u7cfb\u5217\u504f\u5dee\u5e73\u65b9\u548c\u9664\u4ee5\u89c2\u6d4b\u603b\u6570\u7684\u5e73\u65b9\u6839\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u8be5\u5206\u6563\u5ea6\u91cf\u7684\u516c\u5f0f\u5982\u4e0b\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-94d7422dac6b694a42e1dcd6485e681e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sigma=\\sqrt{\\frac{\\displaystyle\\sum_{i=1}^N(x_i-\\overline{x})^2}{N}}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"152\" style=\"vertical-align: -16px;\"><\/p>\n<\/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\/\">\u8ba1\u7b97\u6807\u51c6\u5dee\u7684\u793a\u4f8b<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianza\"><\/span>\u65b9\u5dee<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u65b9\u5dee<\/strong>\u7b49\u4e8e\u89c2\u6d4b\u603b\u6570\u7684\u6b8b\u5dee\u5e73\u65b9\u548c\u3002\u56e0\u6b64\uff0c\u8be5\u8272\u6563\u5ea6\u91cf\u7684\u516c\u5f0f\u5982\u4e0b\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-bb29913eaa58ffb28bbc5b81d6785683_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\cfrac{\\displaystyle\\sum_{i=1}^n\\left(x_i-\\overline{x}\\right)^2}{n}\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"189\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\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-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\u8981\u8ba1\u7b97\u65b9\u5dee\u7684\u968f\u673a\u53d8\u91cf\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\u89c2\u6d4b\u503c\u7684\u603b\u6570\u3002<\/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-5b485d4231dfeb4b50ddf271c3abb0b3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{X}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u968f\u673a\u53d8\u91cf\u7684\u5e73\u5747\u503c<\/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>\u3002 <\/li>\n<\/ul>\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>\u53c2\u89c1\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u65b9\u5dee\/\">\u504f\u5dee\u8ba1\u7b97\u793a\u4f8b<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"coeficiente-de-variacion\"><\/span>\u53d8\u5f02\u7cfb\u6570<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c<strong>\u53d8\u5f02\u7cfb\u6570<\/strong>\u662f\u79bb\u6563\u5ea6\u7684\u5ea6\u91cf\uff0c\u7528\u4e8e\u786e\u5b9a\u6570\u636e\u96c6\u76f8\u5bf9\u4e8e\u5176\u5e73\u5747\u503c\u7684\u79bb\u6563\u5ea6\u3002\u53d8\u5f02\u7cfb\u6570\u7684\u8ba1\u7b97\u65b9\u6cd5\u662f\u5c06\u6570\u636e\u7684\u6807\u51c6\u5dee\u9664\u4ee5\u5e73\u5747\u503c\uff0c\u7136\u540e\u4e58\u4ee5 100\uff0c\u4ee5\u767e\u5206\u6bd4\u5f62\u5f0f\u8868\u793a\u8be5\u503c\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-0ebd63772f3bb0853b10b1996c34a5de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"CV=\\cfrac{\\sigma}{\\overline{x}}\\cdot 100\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"104\" style=\"vertical-align: -12px;\"><\/p>\n<\/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>\u53c2\u89c1\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u53d8\u5f02\u7cfb\u6570\/\">\u8ba1\u7b97\u53d8\u5f02\u7cfb\u6570\u7684\u793a\u4f8b<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"rango\"><\/span>\u6574\u9f50\u7684<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u6781\u5dee<\/strong>\u662f\u79bb\u6563\u5ea6\u7684\u5ea6\u91cf\uff0c\u8868\u793a\u6837\u672c\u4e2d\u6570\u636e\u7684\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u4e4b\u95f4\u7684\u5dee\u5f02\u3002\u56e0\u6b64\uff0c\u8981\u8ba1\u7b97\u603b\u4f53\u6216\u7edf\u8ba1\u6837\u672c\u7684\u8303\u56f4\uff0c\u5fc5\u987b\u4ece\u6700\u5c0f\u503c\u4e2d\u51cf\u53bb\u6700\u5927\u503c\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-d09e48dfa9b5b1e1fbc30ac856d46166_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"R=\\text{M\\'ax}-\\text{M\\'in}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"125\" style=\"vertical-align: -1px;\"><\/p>\n<\/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>\u53c2\u89c1\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u7edf\u8ba1\u8303\u56f4\/\">\u8303\u56f4\u8ba1\u7b97\u793a\u4f8b<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"rango-intercuartil\"><\/span> \u56db\u5206\u4f4d\u6570\u8303\u56f4<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u56db\u5206\u4f4d\u8ddd<\/strong>\uff0c\u4e5f\u79f0\u4e3a<strong>\u56db\u5206\u4f4d\u8ddd<\/strong>\uff0c\u662f\u7edf\u8ba1\u79bb\u6563\u5ea6\u7684\u5ea6\u91cf\uff0c\u8868\u793a\u7b2c\u4e09\u4e2a\u56db\u5206\u4f4d\u6570\u548c\u7b2c\u4e00\u4e2a\u56db\u5206\u4f4d\u6570\u4e4b\u95f4\u7684\u5dee\u5f02\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u8981\u8ba1\u7b97\u7edf\u8ba1\u6570\u636e\u96c6\u7684\u56db\u5206\u4f4d\u8ddd\uff0c\u5fc5\u987b\u9996\u5148\u627e\u5230\u7b2c\u4e09\u548c\u7b2c\u4e00\u56db\u5206\u4f4d\u6570\uff0c\u7136\u540e\u5c06\u5b83\u4eec\u76f8\u51cf\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-e77f65ff74b67f18e258e2a273be1d1c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"IQR=Q_3-Q_1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"124\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u56db\u5206\u4f4d\u8ddd\u7684\u7b26\u53f7\u662f IQR\uff0c\u6e90\u81ea\u82f1\u8bed\u7684<em>\u56db\u5206\u4f4d\u8ddd<\/em>\u3002<\/p>\n<p>\u8fd9\u79cd\u79bb\u6563\u5ea6\u6d4b\u91cf\u6700\u6709\u5229\u7684\u7279\u5f81\u4e4b\u4e00\u662f\u5b83\u662f\u4e00\u4e2a\u7a33\u5065\u7684\u7edf\u8ba1\u91cf\uff0c\u5373\u5b83\u5bf9\u5f02\u5e38\u503c\u5177\u6709\u5f88\u9ad8\u7684\u7a33\u5065\u6027\u3002\u7531\u4e8e\u56db\u5206\u4f4d\u8ddd\u7684\u8ba1\u7b97\u4e2d\u6ca1\u6709\u8003\u8651\u6781\u503c\uff0c\u56e0\u6b64\u5982\u679c\u51fa\u73b0\u65b0\u7684<em>\u5f02\u5e38\u503c<\/em>\uff0c\u5176\u503c\u53d8\u5316\u5f88\u5c0f\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\/\u56db\u5206\u4f4d\u95f4\u8ddd\/\">\u8ba1\u7b97\u56db\u5206\u4f4d\u6570\u8303\u56f4\u7684\u793a\u4f8b<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"desviacion-media\"><\/span>\u4e2d\u7b49\u5dee\u5f02<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u5e73\u5747\u504f\u5dee<\/strong>\uff0c\u4e5f\u79f0\u4e3a<strong>\u5e73\u5747\u7edd\u5bf9\u504f\u5dee<\/strong>\uff0c\u662f\u7edd\u5bf9\u504f\u5dee\u7684\u5e73\u5747\u503c\u3002\u56e0\u6b64\uff0c\u5e73\u5747\u504f\u5dee\u7b49\u4e8e\u6bcf\u4e2a\u6570\u636e\u9879\u4e0e\u7b97\u672f\u5e73\u5747\u503c\u7684\u504f\u5dee\u4e4b\u548c\u9664\u4ee5\u6570\u636e\u9879\u603b\u6570\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-a5342bcc6a35ed68ea8b5cb5da036ff1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D_{\\overline{x}}=\\cfrac{\\sum_{i=1}^N|x_i-\\overline{x}|}{N}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"154\" style=\"vertical-align: -12px;\"><\/p>\n<\/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\/\u4e2d\u7b49\u5dee\u5f02\/\">\u8ba1\u7b97\u5e73\u5747\u504f\u5dee\u7684\u793a\u4f8b<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfpara-que-sirven-las-medidas-de-dispersion\"><\/span>\u8272\u6563\u6d4b\u91cf\u6709\u4f55\u7528\u9014\uff1f<span 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