{"id":201,"date":"2023-07-15T02:34:38","date_gmt":"2023-07-15T02:34:38","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e6%96%b9%e5%b7%ae\/"},"modified":"2023-07-15T02:34:38","modified_gmt":"2023-07-15T02:34:38","slug":"%e6%96%b9%e5%b7%ae","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e6%96%b9%e5%b7%ae\/","title":{"rendered":"\u5dee\u5f02\u662f\u4ec0\u4e48\uff1f"},"content":{"rendered":"<p>\u65b9\u5dee\u662f\u4e00\u79cd\u7edf\u8ba1\u5ea6\u91cf\uff0c\u5b83\u544a\u8bc9\u6211\u4eec<strong>\u6570\u636e\u56f4\u7ed5\u5e73\u5747\u503c\u7684\u5206\u5e03\u60c5\u51b5<\/strong>\u3002\u8fd9\u5c31\u50cf\u6d4b\u91cf\u6570\u636e\u4e0e\u5e73\u5747\u503c\u7684\u201c\u5206\u5e03\u201d\u7a0b\u5ea6\u3002<\/p>\n<p>\u60f3\u8c61\u4e00\u4e0b\u60a8\u6709\u4e00\u4e2a\u6570\u5b57\u5217\u8868\uff0c\u4f8b\u5982\u6d4b\u8bd5\u5206\u6570\u3002\u65b9\u5dee\u53ef\u4ee5\u5e2e\u52a9\u60a8\u4e86\u89e3<strong>\u8fd9\u4e9b\u5206\u6570\u4e4b\u95f4\u7684\u5dee\u5f02\u6709\u591a\u5927<\/strong>\u3002\u5982\u679c\u5206\u6570\u5f7c\u6b64\u975e\u5e38\u63a5\u8fd1\uff0c\u65b9\u5dee\u5c31\u4f1a\u5f88\u5c0f\u3002\u4f46\u5982\u679c\u5206\u6570\u4e4b\u95f4\u5b58\u5728\u5f88\u5927\u5dee\u5f02\uff0c\u65b9\u5dee\u5c31\u4f1a\u5f88\u5927\u3002<\/p>\n<p>\u4e00\u822c\u6765\u8bf4\uff0c\u65b9\u5dee\u662f\u7406\u89e3\u4e00\u7ec4\u503c\u4e2d<a href=\"https:\/\/mathority.org\/cn\/\u7edf\u8ba1\u79bb\u6563\u5ea6\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u6570\u636e\u5206\u6563\u60c5\u51b5<\/a>\u7684\u6709\u7528\u5de5\u5177\u3002\u5982\u679c\u65b9\u5dee\u9ad8\uff0c\u5219\u610f\u5473\u7740\u6570\u636e\u66f4\u52a0\u5206\u6563\uff0c\u800c\u5982\u679c\u65b9\u5dee\u4f4e\uff0c\u5219\u610f\u5473\u7740\u6570\u636e\u66f4\u52a0\u7d27\u5bc6\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Como_se_calcula_la_varianza\">\u5dee\u8ddd\u662f\u5982\u4f55\u8ba1\u7b97\u7684\uff1f<\/span><\/h2>\n<p>\u8981\u8ba1\u7b97\u65b9\u5dee\uff0c\u60a8\u9700\u8981\u6267\u884c\u4e00\u4e9b\u6570\u5b66\u6b65\u9aa4\uff0c\u4f46\u4e0d\u7528\u62c5\u5fc3\uff0c\u5b83\u6bd4\u770b\u8d77\u6765\u66f4\u5bb9\u6613\u3002\u9996\u5148\uff0c\u60a8\u9700\u8981\u8ba1\u7b97\u6570\u636e\u7684\u5e73\u5747\u503c\u3002\u7136\u540e\u4ece\u5e73\u5747\u503c\u4e2d\u51cf\u53bb\u6bcf\u6761\u6570\u636e\uff0c\u5e76\u5bf9\u6bcf\u4e2a\u5dee\u503c\u8fdb\u884c\u5e73\u65b9\u3002\u7136\u540e\u5c06\u6240\u6709\u8fd9\u4e9b\u5e73\u65b9\u76f8\u52a0\u5e76\u9664\u4ee5\u6570\u636e\u91cf\u3002\u8fd9\u5c31\u662f\u65b9\u5dee\u3002<\/p>\n<p>\u4e3a\u4e86\u66f4\u597d\u5730\u7406\u89e3\u8fd9\u4e00\u70b9\uff0c\u8ba9\u6211\u4eec\u770b\u4e00\u4e2a\u8ba1\u7b97\u65b9\u5dee\u7684\u793a\u4f8b\uff0c\u5982\u4e0b\uff1a<\/p>\n<p><strong>\u7b2c 1 \u6b65\uff1a\u83b7\u53d6\u6570\u636e<\/strong><\/p>\n<p>\u5047\u8bbe\u60a8\u6709\u4ee5\u4e0b\u6570\u636e\uff1a5\u30017\u30019\u300111\u300113\u3002\u8fd9\u4e9b\u662f\u60a8\u8981\u8ba1\u7b97\u65b9\u5dee\u7684\u6570\u636e\u6837\u672c\u4e2d\u7684\u503c\u3002<\/p>\n<p><strong>\u7b2c 2 \u6b65\uff1a\u8ba1\u7b97\u5e73\u5747\u503c<\/strong><\/p>\n<p>\u5c06\u6240\u6709\u503c\u76f8\u52a0\u5e76\u9664\u4ee5\u6570\u636e\u603b\u91cf\u4ee5\u83b7\u5f97\u5e73\u5747\u503c\uff1a<\/p>\n<p class=\"has-text-align-center\">\u5e73\u5747\u503c = (5 + 7 + 9 + 11 + 13) \u00f7 5 = 45 \u00f7 5 = 9<\/p>\n<p>\u6570\u636e\u7684\u5e73\u5747\u503c\u4e3a 9\u3002<\/p>\n<p><strong>\u6b65\u9aa4 3\uff1a\u4ece\u6bcf\u4e2a\u6570\u636e\u70b9\u4e2d\u51cf\u53bb\u5e73\u5747\u503c<\/strong><\/p>\n<p>\u4ece\u5217\u8868\u4e2d\u7684\u6bcf\u4e2a\u6570\u636e\u9879\u51cf\u53bb\u4e0a\u4e00\u6b65\u83b7\u5f97\u7684\u5e73\u5747\u503c\uff1a<\/p>\n<p class=\"has-text-align-center\"> 5 \u2013 9 = -4<\/p>\n<p class=\"has-text-align-center\"> 7 \u2013 9 = -2<\/p>\n<p class=\"has-text-align-center\"> 9 \u2013 9 = 0<\/p>\n<p class=\"has-text-align-center\"> 11 \u2013 9 = 2<\/p>\n<p class=\"has-text-align-center\"> 13 \u2013 9 = 4<\/p>\n<p><strong>\u7b2c\u56db\u6b65\uff1a\u8ba1\u7b97\u5dee\u503c\u7684\u5e73\u65b9<\/strong><\/p>\n<p>\u5c06\u4e0a\u4e00\u6b65\u4e2d\u83b7\u5f97\u7684\u6bcf\u4e2a\u5dee\u503c\u5e73\u65b9\uff1a<\/p>\n<p class=\"has-text-align-center\"> (-4) <sup>2<\/sup> = 16<\/p>\n<p class=\"has-text-align-center\"> (-2) <sup>2<\/sup> = 4<\/p>\n<p class=\"has-text-align-center\"> 0 <sup>2<\/sup> = 0<\/p>\n<p class=\"has-text-align-center\"> 2 <sup>2<\/sup> = 4<\/p>\n<p class=\"has-text-align-center\"> 4 <sup>2<\/sup> = 16<\/p>\n<p><strong>\u7b2c 5 \u6b65\uff1a\u6dfb\u52a0\u5dee\u503c\u7684\u5e73\u65b9<\/strong><\/p>\n<p>\u5c06\u4e0a\u4e00\u6b65\u5f97\u5230\u7684\u6240\u6709\u7ed3\u679c\u76f8\u52a0\uff1a<\/p>\n<p class=\"has-text-align-center\"> 16 + 4 + 0 + 4 + 16 = 40<\/p>\n<p><strong>\u6b65\u9aa4 6\uff1a\u9664\u4ee5\u6570\u636e\u91cf<\/strong><\/p>\n<p>\u5c06\u5dee\u503c\u5e73\u65b9\u548c\u9664\u4ee5\u6570\u636e\u603b\u91cf\uff08\u5728\u672c\u4f8b\u4e2d\u4e3a 5\uff09\uff1a<\/p>\n<p class=\"has-text-align-center\">\u504f\u5dee = 40 \u00f7 5 = 8<\/p>\n<p><strong>\u6570\u636e\u7684\u65b9\u5dee\u4e3a 8<\/strong> \u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Cual_es_la_formula_de_la_varianza\">\u65b9\u5dee\u7684\u516c\u5f0f\u662f\u4ec0\u4e48\uff1f<\/span><\/h2>\n<p>\u5728\u5206\u6790\u8fd9\u4e00\u70b9\u4e4b\u524d\uff0c\u6709\u5fc5\u8981\u63d0\u5230\u65b9\u5dee\u5bf9\u4e8e\u7edf\u8ba1\u6765\u8bf4\u975e\u5e38\u91cd\u8981\u3002\u5c3d\u7ba1\u8fd9\u662f\u4e00\u4e2a\u76f8\u5f53\u7b80\u5355\u7684\u8861\u91cf\u6807\u51c6\uff0c\u4f46\u5b83\u63d0\u4f9b\u4e86\u57fa\u4e8e\u7279\u5b9a\u53d8\u91cf\u7684\u6709\u8da3\u4fe1\u606f\u3002<\/p>\n<p>\u6d4b\u91cf\u5355\u4f4d\u59cb\u7ec8\u662f\u4e0e\u6570\u636e\u76f8\u5bf9\u5e94\u7684\u5355\u4f4d\uff0c\u4f46\u662f\u662f\u5e73\u65b9\u7684\u3002\u6b64\u5916\uff0c\u5e94\u8be5\u6ce8\u610f\u7684\u662f\u65b9\u5dee\u59cb\u7ec8\u7b49\u4e8e\u6216\u5927\u4e8e\u96f6\u3002\u8fd9\u662f\u56e0\u4e3a\u6b8b\u5dee\u603b\u662f\u5e73\u65b9\u7684\uff0c\u56e0\u6b64\uff0c\u4ece\u6570\u5b66\u89d2\u5ea6\u6765\u8bf4\uff0c\u4e0d\u53ef\u80fd\u51fa\u73b0\u8d1f\u65b9\u5dee\u3002<\/p>\n<p>\u8bb0\u4f4f\u8fd9\u4e00\u70b9\uff0c\u4e0b\u9762\u6211\u4eec\u5411\u60a8\u5c55\u793a\u65b9\u5dee\u516c\u5f0f\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"171\" height=\"58\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-decart.webp\" data-src=\"\" alt=\"\u504f\u5dee\u516c\u5f0f\" class=\"wp-image-11754 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> <sup>S2<\/sup> = \u95f4\u9699<\/p>\n<p>x <sub>i<\/sub> = \u6570\u636e\u96c6\u9879<\/p>\n<p>X\u0304 = \u6837\u54c1\u6d4b\u91cf<\/p>\n<p>\u03a3 = \u603b\u548c<\/p>\n<p>n = \u6837\u672c\u91cf<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Que_es_la_varianza_alta_y_baja\">\u4ec0\u4e48\u662f\u9ad8\u65b9\u5dee\u548c\u4f4e\u65b9\u5dee\uff1f<\/span><\/h2>\n<p>\u5f53<a href=\"https:\/\/mathority.org\/cn\/\u7edf\u8ba1\u6837\u672c\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u7edf\u8ba1\u6837\u672c<\/a>\u6216\u603b\u4f53\u4e2d\u7684\u6570\u636e<strong>\u5f88\u5c11\u4e14\u8fdc\u79bb\u5e73\u5747\u503c<\/strong>\u65f6\uff0c\u65b9\u5dee\u88ab\u8ba4\u4e3a\u662f\u9ad8\u7684\u3002\u8fd9\u610f\u5473\u7740\u6570\u636e\u4e2d\u7684\u5404\u4e2a\u503c\u5206\u5e03\u5e7f\u6cdb\uff0c\u5e76\u4e14\u6570\u636e\u5b58\u5728\u8f83\u5927\u7684\u53d8\u5f02\u6027\u3002<\/p>\n<p>\u76f8\u53cd\uff0c\u5f53\u6837\u672c\u6216\u603b\u4f53\u4e2d\u7684\u6570\u636e<strong>\u66f4\u63a5\u8fd1\u5e73\u5747\u503c\u5e76\u4e14\u5404\u4e2a\u503c\u4e4b\u95f4\u51e0\u4e4e\u6ca1\u6709\u79bb\u6563<\/strong>\u65f6\uff0c\u65b9\u5dee\u88ab\u8ba4\u4e3a\u8f83\u4f4e\u3002\u8fd9\u610f\u5473\u7740\u6570\u636e\u66f4\u52a0\u4e00\u81f4\u4e14\u53d8\u5f02\u6027\u8f83\u5c0f\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Cuales_son_los_principales_usos_de_la_varianza\">\u65b9\u5dee\u7684\u4e3b\u8981\u7528\u9014\u662f\u4ec0\u4e48\uff1f<\/span><\/h2>\n<p>\u65b9\u5dee\u662f\u4e00\u79cd\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5404\u4e2a\u9886\u57df\u7684\u7edf\u8ba1\u5ea6\u91cf\uff0c\u56e0\u4e3a\u5b83\u80fd\u591f\u8bc4\u4f30\u6837\u672c\u4e2d\u6570\u636e\u7684\u5206\u6563\u6027\u6216\u53d8\u5f02\u6027\u3002\u65b9\u5dee\u7684\u4e00\u4e9b\u4e3b\u8981\u7528\u9014\u662f\uff1a<\/p>\n<p><strong>\u5728\u63cf\u8ff0\u6027\u7edf\u8ba1\u4e2d<\/strong>\u2014\u2014\u63cf\u8ff0\u6837\u672c\u4e2d\u6570\u636e\u7684\u5206\u6563\u60c5\u51b5\uff0c\u5e2e\u52a9\u7406\u89e3\u4e2a\u4f53\u503c\u5982\u4f55\u504f\u79bb\u5747\u503c\u4ee5\u53ca\u5b83\u4eec\u5728\u6837\u672c\u4e2d\u7684\u5206\u5e03\u60c5\u51b5\u3002<\/p>\n<p><strong>\u5728\u63a8\u8bba\u7edf\u8ba1\u4e2d<\/strong>\u2014\u2014\u4f30\u8ba1\u6837\u672c\u4e2d\u603b\u4f53\u6570\u636e\u7684\u53d8\u5f02\u6027\uff0c\u4ece\u800c\u53ef\u4ee5\u5bf9\u6574\u4e2a\u603b\u4f53\u8fdb\u884c\u63a8\u65ad\u3002<\/p>\n<p><strong>\u5728\u91d1\u878d\u9886\u57df<\/strong>\uff1a\u5728\u6295\u8d44\u98ce\u9669\u548c\u56de\u62a5\u7684\u5206\u6790\u4e2d\uff0c\u8f83\u9ad8\u7684\u65b9\u5dee\u8868\u660e\u6295\u8d44\u7ec4\u5408\u7684\u98ce\u9669\u8f83\u9ad8\uff0c\u8f83\u4f4e\u7684\u65b9\u5dee\u8868\u660e\u6295\u8d44\u7ec4\u5408\u7684\u98ce\u9669\u8f83\u4f4e\u3002<\/p>\n<p><strong>\u79d1\u5b66\u7814\u7a76\u4e2d<\/strong>\u2014\u2014\u5206\u6790\u79d1\u5b66\u7814\u7a76\u4e2d\u6570\u636e\u7684\u53d8\u5f02\u6027\uff0c\u4f8b\u5982\u533b\u5b66\u7814\u7a76\u3001\u751f\u7269\u5b66\u3001\u5fc3\u7406\u5b66\u7b49\u5b66\u79d1\uff0c\u4ee5\u4e86\u89e3\u7ed3\u679c\u7684\u53d8\u5f02\u6027\u548c\u6570\u636e\u7684\u4e00\u81f4\u6027\u3002<\/p>\n<p><strong>\u8fc7\u7a0b\u8d28\u91cf\u63a7\u5236<\/strong>\uff1a\u5728\u5de5\u4e1a\u8fc7\u7a0b\u7684\u8d28\u91cf\u63a7\u5236\u4e2d\uff0c\u6d4b\u91cf\u6240\u5236\u9020\u7684\u4ea7\u54c1\u6216\u670d\u52a1\u7684\u53ef\u53d8\u6027\uff0c\u4ece\u800c\u53ef\u4ee5\u8bc6\u522b\u8fc7\u7a0b\u7684\u4e00\u81f4\u6027\u548c\u8d28\u91cf\u95ee\u9898\u3002<\/p>\n<p><strong>\u5728\u8ba1\u91cf\u7ecf\u6d4e\u5b66\u4e2d<\/strong>\uff1a\u5728\u7ecf\u6d4e\u6570\u636e\u7684\u5efa\u6a21\u548c\u5206\u6790\u4e2d\uff0c\u4e86\u89e3\u7ecf\u6d4e\u53d8\u91cf\u7684\u53ef\u53d8\u6027\u5e76\u8bc4\u4f30\u8ba1\u91cf\u7ecf\u6d4e\u6a21\u578b\u7684\u53ef\u9760\u6027\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Cual_es_la_importancia_de_la_varianza\">\u65b9\u5dee\u7684\u542b\u4e49\u662f\u4ec0\u4e48\uff1f<\/span><\/h2>\n<p>\u65b9\u5dee\u5f88\u91cd\u8981\uff0c\u56e0\u4e3a\u5b83\u53ef\u4ee5\u8ba9\u60a8<strong>\u4e86\u89e3\u6837\u672c\u4e2d\u6570\u636e\u7684\u53d8\u5f02\u6027<\/strong>\u3002\u5982\u679c\u65b9\u5dee\u5f88\u9ad8\uff0c\u5219\u610f\u5473\u7740\u6570\u636e\u7a00\u758f\u5e76\u4e14\u5b58\u5728\u5f88\u5927\u7684\u53d8\u5f02\u6027\u3002\u8fd9\u5bf9\u4e8e\u5728\u6295\u8d44\u3001\u98ce\u9669\u7ba1\u7406\u548c\u6570\u636e\u5206\u6790\u7b49\u9886\u57df\u505a\u51fa\u660e\u667a\u7684\u51b3\u7b56\u76f8\u5173\u3002<\/p>\n<p>\u6b64\u5916\uff0c\u65b9\u5dee\u8fd8\u53ef\u4ee5\u5e2e\u52a9\u60a8\u4e86\u89e3\u6837\u672c\u6216\u603b\u4f53\u4e2d\u6570\u636e\u7684\u4e00\u81f4\u6027\u3002\u4f4e\u65b9\u5dee\u8868\u793a\u6570\u636e\u4e00\u81f4\u4e14\u53d8\u5f02\u6027\u8f83\u5c0f\uff0c\u800c\u9ad8\u65b9\u5dee\u8868\u793a\u6570\u636e\u4e00\u81f4\u6027\u8f83\u5dee\u4e14\u53d8\u5f02\u6027\u8f83\u5927\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Es_lo_mismo_la_desviacion_estandar_y_la_varianza\">\u6807\u51c6\u5dee\u548c\u65b9\u5dee\u4e00\u6837\u5417\uff1f<\/span><\/h2>\n<p><a href=\"https:\/\/mathority.org\/cn\/\u5178\u578b\u504f\u5dee\/\" target=\"_blank\" rel=\"noreferrer noopener\">\u6807\u51c6\u5dee<\/a>\u548c\u65b9\u5dee\u662f\u4e24\u4e2a\u76f8\u5173\u7684\u7edf\u8ba1\u5ea6\u91cf\uff0c<strong>\u63cf\u8ff0\u6837\u672c\u6216\u603b\u4f53\u4e2d\u6570\u636e\u7684\u5206\u5e03\u6216\u53d8\u5f02\u6027<\/strong>\u3002\u5b83\u4eec\u4e4b\u95f4\u7684\u4e3b\u8981\u533a\u522b\u5728\u4e8e\u6d4b\u91cf\u5355\u4f4d\u548c\u7ed3\u679c\u7684\u89e3\u91ca\u3002<\/p>\n<p>\u65b9\u5dee\u662f\u8868\u793a\u6570\u636e\u76f8\u5bf9\u4e8e\u5747\u503c\u7684\u79bb\u6563\u5ea6\u7684\u4e00\u79cd\u5ea6\u91cf\uff0c\u8ba1\u7b97\u65b9\u5f0f\u4e3a\u5404\u4e2a\u503c\u76f8\u5bf9\u4e8e\u5747\u503c\u7684\u504f\u5dee\u7684\u5e73\u65b9\u548c\u9664\u4ee5\u6570\u636e\u603b\u6570\u3002<\/p>\n<p>\u5b83\u7684\u8ba1\u7b97\u65b9\u6cd5\u662f\u5bf9\u6bcf\u4e2a\u503c\u4e0e\u5e73\u5747\u503c\u4e4b\u95f4\u7684\u5dee\u503c\u8fdb\u884c\u5e73\u65b9\uff0c\u5c06\u5b83\u4eec\u76f8\u52a0\uff0c\u7136\u540e\u9664\u4ee5\u6837\u672c\u6216\u603b\u4f53\u5927\u5c0f\u3002\u65b9\u5dee\u4ee5\u5e73\u65b9\u5355\u4f4d\u8868\u793a\uff0c\u53ef\u80fd\u5f88\u96be\u76f4\u63a5\u89e3\u91ca\uff0c\u56e0\u4e3a\u5b83\u7684\u5c3a\u5ea6\u4e0e\u539f\u59cb\u6570\u636e\u4e0d\u540c\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u6807\u51c6\u5dee\u53ea\u4e0d\u8fc7\u662f<strong>\u65b9\u5dee\u7684\u5e73\u65b9\u6839<\/strong>\u3002\u5b83\u88ab\u8ba1\u7b97\u4e3a\u65b9\u5dee\u7684\u6b63\u5e73\u65b9\u6839\u3002\u6807\u51c6\u5dee\u4ee5\u4e0e\u539f\u59cb\u6570\u636e\u76f8\u540c\u7684\u5355\u4f4d\u8868\u793a\uff0c\u662f\u66f4\u76f4\u89c2\u5730\u8861\u91cf\u6570\u636e\u5206\u6563\u7a0b\u5ea6\u7684\u6307\u6807\u3002<\/p>\n<p>\u8f83\u9ad8\u7684\u6807\u51c6\u5dee\u8868\u793a\u6570\u636e\u7684\u5206\u5e03\u6216\u53d8\u5f02\u6027\u8f83\u5927\uff0c\u800c\u8f83\u4f4e\u7684\u6807\u51c6\u5dee\u8868\u793a\u6570\u636e\u7684\u5206\u5e03\u6216\u53d8\u5f02\u6027\u8f83\u5c0f\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Varianza_para_datos_agrupados\">\u5206\u7ec4\u6570\u636e\u7684\u95f4\u9699<\/span><\/h2>\n<p>\u5206\u7ec4\u6570\u636e\u7684\u65b9\u5dee\u662f\u6307\u5bf9<strong>\u5206\u7ec4\u4e3a\u533a\u95f4\u6216\u7c7b\u522b\u7684\u6570\u636e\u7684\u53d8\u5f02\u6027\u6216\u79bb\u6563\u5ea6\u8fdb\u884c\u8ba1\u7b97<\/strong>\u3002\u60a8\u4e0d\u50cf\u672a\u5206\u7ec4\u6570\u636e\u7684\u65b9\u5dee\u90a3\u6837\u62e5\u6709\u5355\u72ec\u7684\u6570\u636e\uff0c\u800c\u662f\u62e5\u6709\u6570\u636e\u6240\u5c5e\u7684\u8303\u56f4\u6216\u533a\u95f4\u3002<\/p>\n<p>\u8ba1\u7b97\u5206\u7ec4\u6570\u636e\u7684\u65b9\u5dee\u662f\u4f7f\u7528\u7a0d\u5fae\u4e0d\u540c\u7684\u516c\u5f0f\u5b8c\u6210\u7684\u3002\u9996\u5148\u8ba1\u7b97\u6bcf\u4e2a\u533a\u95f4\u7684\u4e2d\u70b9\uff0c\u5373\u6bcf\u4e2a\u533a\u95f4\u7684\u4e0b\u9650\u548c\u4e0a\u9650\u7684\u5e73\u5747\u503c\u3002\u7136\u540e\u4f7f\u7528\u95f4\u9694\u7684\u76f8\u5bf9\u6216\u7edd\u5bf9\u9891\u7387\u4f5c\u4e3a\u6743\u91cd\uff0c\u8ba1\u7b97\u4e2d\u70b9\u7684\u52a0\u6743\u5e73\u5747\u503c\u3002<\/p>\n<p>\u6839\u636e\u8be5\u52a0\u6743\u5e73\u5747\u503c\uff0c<strong>\u6839\u636e\u4e0e\u672a\u5206\u7ec4\u6570\u636e\u76f8\u540c\u7684\u516c\u5f0f\u8ba1\u7b97\u65b9\u5dee\uff0c<\/strong>\u5373\u5404\u4e2a\u503c\u4e0e\u52a0\u6743\u5e73\u5747\u503c\u4e4b\u95f4\u5dee\u5f02\u7684\u5e73\u65b9\u5e73\u5747\u503c\u3002<\/p>\n<p>\u5f53<strong>\u5904\u7406\u4ee5\u533a\u95f4\u6216\u7c7b\u5f62\u5f0f\u5448\u73b0\u7684\u6570\u636e\u96c6<\/strong>\uff08\u4f8b\u5982\u4eba\u53e3\u7edf\u8ba1\u6570\u636e\u3001\u7ecf\u6d4e\u6570\u636e\u6216\u5206\u7ec4\u4e3a\u7c7b\u522b\u6216\u8303\u56f4\u7684\u4efb\u4f55\u5176\u4ed6\u7c7b\u578b\u7684\u6570\u636e\uff09\u65f6\uff0c\u5206\u7ec4\u6570\u636e\u65b9\u5dee\u975e\u5e38\u6709\u7528\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Propiedades_de_la_varianza\">\u65b9\u5dee\u5c5e\u6027<\/span><\/h2>\n<p>\u65b9\u5dee\u662f\u4e00\u79cd\u7edf\u8ba1\u5ea6\u91cf\uff0c\u5177\u6709\u51e0\u4e2a\u91cd\u8981\u7684\u5c5e\u6027\u3002\u65b9\u5dee\u7684\u4e00\u4e9b\u4e3b\u8981\u5c5e\u6027\u662f\uff1a<\/p>\n<ul>\n<li><strong>\u5b83\u59cb\u7ec8\u662f\u4e00\u4e2a\u975e\u8d1f\u503c<\/strong>\uff0c\u56e0\u4e3a\u5b83\u88ab\u5b9a\u4e49\u4e3a\u5404\u4e2a\u6570\u636e\u4e0e\u5747\u503c\u4e4b\u5dee\u7684\u5e73\u65b9\u5747\u503c\u3002<\/li>\n<li><strong>\u5b83\u5bf9\u6570\u636e\u4e2d\u7684\u6781\u7aef\u503c\u6216\u79bb\u7fa4\u503c\u654f\u611f<\/strong>\uff0c\u56e0\u4e3a\u5b83\u662f\u5dee\u503c\u7684\u5e73\u65b9\u3002<\/li>\n<li>\u5b83\u5177\u6709<strong>\u5355\u4f4d square<\/strong> \uff0c\u8fd9\u610f\u5473\u7740\u5b83\u4e0e\u539f\u59cb\u6570\u636e\u5177\u6709\u76f8\u540c\u7684\u5e73\u65b9\u5355\u4f4d\u3002<\/li>\n<li>\u5b83\u53ef\u80fd\u4f1a\u53d7\u5230\u5f02\u5e38\u503c\u6216\u6781\u7aef\u6570\u636e\u7684\u5f71\u54cd\uff0c\u8fd9\u53ef\u80fd\u4f7f\u5176\u6210\u4e3a\u6570\u636e\u53d8\u5f02\u6027\u7684<strong>\u975e\u7a33\u5065\u5ea6\u91cf<\/strong>\u3002<\/li>\n<li>\u5982\u679c\u6570\u636e\u76f8\u4e92\u72ec\u7acb\u4e14\u4e0d\u76f8\u5173\uff0c\u5219\u4e24\u7ec4\u6570\u636e\u4e4b\u548c\u7684\u65b9\u5dee<strong>\u7b49\u4e8e\u4e24\u7ec4\u6570\u636e\u7684\u65b9\u5dee\u4e4b\u548c<\/strong>\u3002<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span id=\"Ejemplos_de_varianza\">\u504f\u5dee\u793a\u4f8b<\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u4e86\u89e3\u4e86\u65b9\u5dee\u7684\u6982\u5ff5\u53ca\u5176\u91cd\u8981\u6027\uff0c\u8ba9\u6211\u4eec\u770b\u4e00\u4e2a\u5b9e\u9645\u793a\u4f8b\u4ee5\u66f4\u597d\u5730\u7406\u89e3\u5b83\u662f\u5982\u4f55\u5de5\u4f5c\u7684\u3002<\/p>\n<p>\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u5bb6\u516c\u53f8\u8fc7\u53bb\u4e94\u5e74\u7684\u7ecf\u6d4e\u4e1a\u7ee9\u6570\u636e\uff08\u5355\u4f4d\u4e3a\u767e\u4e07\u7f8e\u5143\uff09\uff1a8\u300112\u30016\u3001-4\u300110\u3002\u6211\u4eec\u5e0c\u671b\u4f7f\u7528\u524d\u9762\u63d0\u5230\u7684\u516c\u5f0f\u8ba1\u7b97\u8be5\u6570\u636e\u96c6\u7684\u65b9\u5dee\u3002<\/p>\n<p><strong>\u6b65\u9aa4\u4e00\uff1a\u8ba1\u7b97\u7b97\u672f\u5e73\u5747\u503c<\/strong><\/p>\n<p>\u9996\u5148\uff0c\u6211\u4eec\u901a\u8fc7\u76f8\u52a0\u5e76\u9664\u4ee5\u6570\u636e\u603b\u6570\uff08\u5728\u672c\u4f8b\u4e2d\u4e3a 5\uff09\u6765\u8ba1\u7b97\u6570\u636e\u7684\u7b97\u672f\u5e73\u5747\u503c\uff1a<\/p>\n<p class=\"has-text-align-center\">\u7b97\u672f\u5e73\u5747\u503c (X\u0304) = (8 + 12 + 6 \u2013 4 + 10) \u00f7 5 = 640 \u4e07\u7f8e\u5143<\/p>\n<p><strong>\u6b65\u9aa4 2\uff1a\u4f7f\u7528\u65b9\u5dee\u516c\u5f0f<\/strong><\/p>\n<p>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u4f7f\u7528\u65b9\u5dee\u516c\u5f0f\u8ba1\u7b97\u6bcf\u4e2a\u6570\u636e\u70b9\u4e0e\u7b97\u672f\u5e73\u5747\u503c\u4e4b\u5dee\u7684\u5e73\u65b9\uff0c\u7136\u540e\u5c06\u5b83\u4eec\u76f8\u52a0\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"171\" height=\"58\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-decart.webp\" data-src=\"\" alt=\"\u504f\u5dee\u516c\u5f0f\" class=\"wp-image-11754 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u5176\u4e2d x <sub>i<\/sub>\u662f\u6bcf\u4e2a\u6570\u636e\u5143\u7d20\uff0cX\u0304 \u662f\u7b97\u672f\u5e73\u5747\u503c\uff0cn \u662f\u6570\u636e\u5143\u7d20\u603b\u6570\u3002<\/p>\n<p>\u6211\u4eec\u5c06\u6570\u636e\u548c\u7b97\u672f\u5e73\u5747\u503c\u4ee3\u5165\u65b9\u5dee\u516c\u5f0f\uff1a<\/p>\n<p class=\"has-text-align-center\">\u504f\u5dee (Var(X)) = [(8 \u2013 6.4) <sup>2<\/sup> + (12 \u2013 6.4) <sup>2<\/sup> + (6 \u2013 6.4) <sup>2<\/sup> + (-4 \u2013 6.4) <sup>2<\/sup> + (10 \u2013 6,4) <sup>2<\/sup> ] \u00f7 (5 \u2013 1)<\/p>\n<p><strong>\u7b2c 3 \u6b65\uff1a\u6c42\u89e3\u8fd0\u7b97<\/strong><\/p>\n<p>\u73b0\u5728\u6211\u4eec\u6765\u6c42\u89e3\u8fd0\u7b97\u4ee5\u83b7\u5f97\u65b9\u5dee\u503c\uff1a<\/p>\n<p class=\"has-text-align-center\">\u504f\u5dee (Var(X)) = [1.6 <sup>2<\/sup> + 5.6 <sup>2<\/sup> + 0.16 <sup>2<\/sup> + (-10.4) <sup>2<\/sup> + 3.6 <sup>2<\/sup> ] \u00f7 4<\/p>\n<p class=\"has-text-align-center\">\u504f\u5dee (Var(X)) = [2.56 + 31.36 + 0.0256 + 108.16 + 12.96] \u00f7 4<\/p>\n<p class=\"has-text-align-center\">\u504f\u5dee (Var(X)) = 155.072 \u00f7 4<\/p>\n<p class=\"has-text-align-center\">\u65b9\u5dee (Var(X)) = 3876.8 \u4e07\u5e73\u65b9<\/p>\n<p>\u8be5\u6570\u636e\u96c6\u7684\u65b9\u5dee\u4e3a 3876.8 \u4e07\u5e73\u65b9\uff0c\u8fd9\u4e3a\u6211\u4eec\u63d0\u4f9b\u4e86\u6570\u636e\u76f8\u5bf9\u4e8e\u7b97\u672f\u5e73\u5747\u503c\u7684\u79bb\u6563\u5ea6\u6216\u53d8\u5f02\u6027\u7684\u5ea6\u91cf\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u65b9\u5dee\u662f\u4e00\u79cd\u7edf\u8ba1\u5ea6\u91cf\uff0c\u5b83\u544a\u8bc9\u6211\u4eec\u6570\u636e\u56f4\u7ed5\u5e73\u5747\u503c\u7684\u5206\u5e03\u60c5\u51b5\u3002\u8fd9\u5c31\u50cf\u6d4b\u91cf\u6570\u636e\u4e0e\u5e73\u5747\u503c\u7684\u201c\u5206\u5e03\u201d\u7a0b\u5ea6\u3002 \u60f3\u8c61\u4e00\u4e0b\u60a8\u6709\u4e00 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e6%96%b9%e5%b7%ae\/\"> <span class=\"screen-reader-text\">\u5dee\u5f02\u662f\u4ec0\u4e48\uff1f<\/span> \u67e5\u770b\u5168\u6587 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[9,27],"tags":[],"class_list":["post-201","post","type-post","status-publish","format-standard","hentry","category-9","category-27"],"yoast_head":"<!-- This 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