{"id":65,"date":"2023-08-05T20:30:12","date_gmt":"2023-08-05T20:30:12","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e5%88%86%e6%95%a3\/"},"modified":"2023-08-05T20:30:12","modified_gmt":"2023-08-05T20:30:12","slug":"%e5%88%86%e6%95%a3","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e5%88%86%e6%95%a3\/","title":{"rendered":"\u5206\u6563"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u5206\u6563\u3068\u3082\u547c\u3070\u308c\u308b\u5206\u6563\u3068\u306f\u4f55\u304b\u3001\u307e\u305f\u305d\u306e\u8a08\u7b97\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u5206\u6563\u306e\u516c\u5f0f\u3001\u5206\u6563\u8a08\u7b97\u306e\u5177\u4f53\u4f8b\u304c\u8a18\u8f09\u3055\u308c\u3066\u304a\u308a\u3001\u3055\u3089\u306b\u30aa\u30f3\u30e9\u30a4\u30f3\u8a08\u7b97\u6a5f\u3092\u4f7f\u7528\u3057\u3066\u4efb\u610f\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u5206\u6563\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u3001\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u5206\u6563\u3092\u5225\u306e\u65b9\u6cd5\u3067\u898b\u3064\u3051\u308b\u65b9\u6cd5\u3082\u793a\u3057\u307e\u3059\u3002\u6700\u5f8c\u306b\u3001\u6bcd\u96c6\u56e3\u306e\u5206\u6563\u3068\u6a19\u672c\u5206\u6563\u306e\u9055\u3044\u3001\u5206\u6563\u3068\u6a19\u6e96\u504f\u5dee\u306e\u9055\u3044\u3001\u304a\u3088\u3073\u3053\u306e\u7d71\u8a08\u7684\u5c3a\u5ea6\u306e\u7279\u6027\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-varianza\"><\/span> \u5206\u6563\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u7d71\u8a08\u5b66\u306b\u304a\u3051\u308b\u5206\u6563\u306f\u3001\u78ba\u7387\u5909\u6570\u306e\u5909\u52d5\u6027\u3092\u793a\u3059\u5206\u6563\u306e\u5c3a\u5ea6\u3067\u3059\u3002<\/strong>\u5206\u6563\u306f\u3001\u6b8b\u5dee\u306e\u4e8c\u4e57\u548c\u3092\u89b3\u6e2c\u5024\u306e\u7dcf\u6570\u3067\u5272\u3063\u305f\u3082\u306e\u306b\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u6b8b\u5dee\u306f\u3001\u7d71\u8a08\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u306e\u5024\u3068\u30c7\u30fc\u30bf \u30bb\u30c3\u30c8\u306e\u5e73\u5747\u306e\u5dee\u3068\u3057\u3066\u7406\u89e3\u3055\u308c\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<p>\u78ba\u7387\u8ad6\u3067\u306f\u3001\u5206\u6563\u306e\u8a18\u53f7\u306f\u30ae\u30ea\u30b7\u30e3\u6587\u5b57\u306e\u30b7\u30b0\u30de\u4e8c\u4e57 (\u03c3 <sup>2<\/sup> ) \u3067\u3059\u3002\u901a\u5e38\u306f<em>Var(X)<\/em>\u3068\u3057\u3066\u3082\u8868\u3055\u308c\u307e\u3059\u304c\u3001 <em>X \u306f<\/em>\u5206\u6563\u306e\u8a08\u7b97\u5143\u3068\u306a\u308b\u78ba\u7387\u5909\u6570\u3067\u3059\u3002<\/p>\n<p>\u4e00\u822c\u306b\u3001<strong>\u78ba\u7387\u5909\u6570\u306e\u5206\u6563\u5024\u306e\u89e3\u91c8\u306f<\/strong>\u7c21\u5358\u3067\u3059\u3002\u5206\u6563\u5024\u304c\u5927\u304d\u3044\u307b\u3069\u3001\u30c7\u30fc\u30bf\u306f\u3088\u308a\u5206\u6563\u3057\u3066\u3044\u307e\u3059\u3002\u9006\u3082\u540c\u69d8\u3067\u3001\u5206\u6563\u5024\u304c\u5c0f\u3055\u3044\u307b\u3069\u3001\u30c7\u30fc\u30bf\u7cfb\u5217\u306e\u5206\u6563\u306f\u5c11\u306a\u304f\u306a\u308a\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u5206\u6563\u3092\u89e3\u91c8\u3059\u308b\u3068\u304d\u306f\u3001<em>\u5916\u308c\u5024\u306b\u3088\u3063\u3066\u5206\u6563\u5024\u304c\u6b6a\u3081\u3089\u308c\u308b\u53ef\u80fd\u6027\u304c\u3042\u308b\u305f\u3081\u3001\u5916\u308c\u5024<\/em>\u306b\u6ce8\u610f\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u5206\u6563\u3001\u5206\u6563\u4ee5\u5916\u306b\u8003\u616e\u3055\u308c\u308b\u4ed6\u306e\u5c3a\u5ea6\u306b\u306f\u3001\u7bc4\u56f2\u3001\u6a19\u6e96\u504f\u5dee\u3001\u5e73\u5747\u504f\u5dee\u3001\u304a\u3088\u3073\u5909\u52d5\u4fc2\u6570\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-la-varianza\"><\/span>\u30ae\u30e3\u30c3\u30d7\u306e\u8a08\u7b97\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5206\u6563\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u624b\u9806\u3092\u5b9f\u884c\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e<a href=\"https:\/\/statorials.org\/ja\/\u7b97\u8853\u5e73\u5747\/\">\u7b97\u8853\u5e73\u5747<\/a>\u3092\u6c42\u3081\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u5024\u3068\u5e73\u5747\u306e\u5dee\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u308b\u6b8b\u5dee\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u5404\u4f59\u308a\u3092\u4e8c\u4e57\u3057\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u524d\u306e\u30b9\u30c6\u30c3\u30d7\u3067\u8a08\u7b97\u3055\u308c\u305f\u3059\u3079\u3066\u306e\u7d50\u679c\u3092\u52a0\u7b97\u3057\u307e\u3059\u3002<\/span><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\u30c7\u30fc\u30bf\u306e\u7dcf\u6570\u3067\u5272\u308a\u307e\u3059\u3002\u5f97\u3089\u308c\u308b\u7d50\u679c\u306f\u3001\u30c7\u30fc\u30bf\u7cfb\u5217\u306e\u5206\u6563\u3067\u3059\u3002<\/span><\/li>\n<\/ol>\n<p>\u7d50\u8ad6\u3068\u3057\u3066\u3001\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e<strong>\u5206\u6563\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f\u6b21<\/strong>\u306e\u3068\u304a\u308a\u3067\u3059\u3002 <\/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\/variance.png\" alt=\"\u5206\u6563\" class=\"wp-image-1262\" width=\"349\" height=\"259\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p style=\"margin-bottom:5px\">\u91d1\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>\u5206\u6563\u3092\u8a08\u7b97\u3059\u308b\u78ba\u7387\u5909\u6570\u3067\u3059\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>\u30c7\u30fc\u30bf\u5024\u3067\u3059<\/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>\u89b3\u6e2c\u5024\u306e\u5408\u8a08\u6570\u3067\u3059\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>\u78ba\u7387\u5909\u6570\u306e\u5e73\u5747\u3067\u3059<\/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<p> \ud83d\udc49<u style=\"text-decoration-color:#FF8A05;\">\u4ee5\u4e0b\u306e\u8a08\u7b97\u6a5f\u3092\u4f7f\u7528\u3057\u3066\u3001\u4efb\u610f\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u5206\u6563\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/u><\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u30c7\u30fc\u30bf\u7cfb\u5217\u304b\u3089\u5206\u6563\u3092\u62bd\u51fa\u3059\u308b\u306b\u306f\u3001\u7b97\u8853\u5e73\u5747\u306e\u8a08\u7b97\u65b9\u6cd5\u3092\u7406\u89e3\u3057\u3066\u304a\u304f\u3053\u3068\u304c\u4e0d\u53ef\u6b20\u3067\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u65b9\u6cd5\u3092\u899a\u3048\u3066\u3044\u306a\u3044\u5834\u5408\u306f\u3001\u4e0a\u8a18\u306e\u30ea\u30f3\u30af\u5148\u306e\u8a18\u4e8b\u3067\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-varianza\"><\/span>\u504f\u5dee\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5206\u6563\u306e\u5b9a\u7fa9\u304c\u308f\u304b\u3063\u305f\u306e\u3067\u3001\u30c7\u30fc\u30bf\u7cfb\u5217\u306e\u5206\u6563\u304c\u3069\u306e\u3088\u3046\u306b\u53d6\u5f97\u3055\u308c\u308b\u304b\u3092\u78ba\u8a8d\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u6bb5\u968e\u7684\u306b\u6f14\u7fd2\u3092\u89e3\u3044\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u591a\u56fd\u7c4d\u4f01\u696d\u306e\u904e\u53bb 5 \u5e74\u9593\u306e\u7d4c\u6e08\u7684\u6210\u679c\u306f\u77e5\u3089\u308c\u3066\u304a\u308a\u3001\u5927\u90e8\u5206\u306f\u5229\u76ca\u3092\u5f97\u307e\u3057\u305f\u304c\u3001\u3042\u308b\u5e74\u306b\u306f 1,150 \u4e07\u30012\u30019\u3001700 \u4e07\u30e6\u30fc\u30ed\u3068\u3044\u3046\u591a\u5927\u306a\u640d\u5931\u3092\u51fa\u3057\u307e\u3057\u305f\u3002\u3053\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u5206\u6563\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/li>\n<\/ul>\n<p>\u4e0a\u306e\u8aac\u660e\u3067\u898b\u305f\u3088\u3046\u306b\u3001\u30c7\u30fc\u30bf\u7cfb\u5217\u306e\u5206\u6563\u3092\u898b\u3064\u3051\u308b\u305f\u3081\u306b\u6700\u521d\u306b\u884c\u3046\u5fc5\u8981\u304c\u3042\u308b\u306e\u306f\u3001\u305d\u306e\u7b97\u8853\u5e73\u5747\u3092\u8a08\u7b97\u3059\u308b\u3053\u3068\u3067\u3059\u3002<\/p>\n<p class=\"has-text-align-center\"><meta charset=\"utf-8\"><\/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-0a2fc458e6a80794b9b8fdc1120ddedb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{X}=\\cfrac{11+5+2+(-9)+7}{5}=3,2\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"257\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u30c7\u30fc\u30bf\u306e\u5e73\u5747\u5024\u304c\u308f\u304b\u3063\u305f\u3089\u3001\u5206\u6563\u306e\u516c\u5f0f\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\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-a711d079f0c580d1e3cd8ad08084a6ca_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=\"197\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u6f14\u7fd2\u30b9\u30c6\u30fc\u30c8\u30e1\u30f3\u30c8\u3067\u63d0\u4f9b\u3055\u308c\u308b\u30c7\u30fc\u30bf\u3092\u5f0f\u306b\u4ee3\u5165\u3057\u307e\u3059\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-e284702746a065d0ad3c1c36953e4c91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\cfrac{\\displaystyle (11-3,2)^2+(5-3,2)^2+(2-3,2)^2+(-9-3,2)^2+(7-3,2)^2}{5}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"586\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u6700\u5f8c\u306b\u3001\u6b8b\u3063\u3066\u3044\u308b\u306e\u306f\u3001\u5206\u6563\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306e\u6f14\u7b97\u3092\u89e3\u304f\u3053\u3068\u3060\u3051\u3067\u3059\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-c2cbee60d77f19e88117e1bcf28d9cb2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}Var(X)&amp;=\\cfrac{7,8^2+1,8^2+(-1,2)^2+(-12,2)^2+3,8^2}{5}\\\\[2ex]&amp;=\\cfrac{60,84+3,24+1,44+148,84+14,44}{5}\\\\[2ex]&amp;= \\cfrac{228,8}{5} \\\\[2ex]&amp;=45,76 \\ \\text{millones de euros}^2\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"208\" width=\"406\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u5206\u6563\u5358\u4f4d\u306f\u7d71\u8a08\u30c7\u30fc\u30bf\u306e\u5358\u4f4d\u3068\u540c\u3058\u3067\u3059\u304c\u4e8c\u4e57\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u3053\u306e\u305f\u3081\u3001\u3053\u306e\u30c7\u30fc\u30bf \u30b0\u30eb\u30fc\u30d7\u306e\u5206\u6563\u306f 4,576 \u4e07\u30e6\u30fc\u30ed<sup>2<\/sup>\u3067\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-varianza\"><\/span>\u30ae\u30e3\u30c3\u30d7\u8a08\u7b97\u6a5f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6b21\u306e\u8a08\u7b97\u6a5f\u306b\u7d71\u8a08\u30c7\u30fc\u30bf \u30bb\u30c3\u30c8\u3092\u5165\u529b\u3057\u3066\u3001\u305d\u306e\u5206\u6563\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u30c7\u30fc\u30bf\u306f\u30b9\u30da\u30fc\u30b9\u3067\u533a\u5207\u3089\u308c\u3001\u5c0f\u6570\u70b9\u3068\u3057\u3066\u30d4\u30ea\u30aa\u30c9\u3092\u4f7f\u7528\u3057\u3066\u5165\u529b\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\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 style=\"text-align:center\"><input align=\"center\" style=\"border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"\u30ae\u30e3\u30c3\u30d7\u3092\u8a08\u7b97\u3059\u308b\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianza-para-datos-agrupados\"><\/span>\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u5206\u6563<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u9593\u9694 \u306b\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u5206\u6563\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f<\/strong>\u3001\u6b21\u306e\u624b\u9806\u306b\u5f93\u3046\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u5e73\u5747\u3092\u6c42\u3081\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u6b8b\u5dee\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u5404\u4f59\u308a\u3092\u4e8c\u4e57\u3057\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u4ee5\u524d\u306e\u5404\u7d50\u679c\u306b\u305d\u306e\u9593\u9694\u306e\u983b\u5ea6\u3092\u639b\u3051\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u524d\u306e\u30b9\u30c6\u30c3\u30d7\u3067\u53d6\u5f97\u3057\u305f\u3059\u3079\u3066\u306e\u5024\u306e\u5408\u8a08\u3092\u52a0\u7b97\u3057\u307e\u3059\u3002<\/span><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\u89b3\u6e2c\u5024\u306e\u5408\u8a08\u6570\u3067\u5272\u308a\u307e\u3059\u3002\u7d50\u679c\u3068\u3057\u3066\u5f97\u3089\u308c\u308b\u6570\u5024\u306f\u3001\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u5206\u6563\u3067\u3059\u3002<\/span><\/li>\n<\/ol>\n<p>\u3064\u307e\u308a\u3001\u9593\u9694\u306b\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u5206\u6563\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\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-3c8fd825b7e23d237d3bc105ff317afe_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\\cdot f_i }{n}\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"224\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u901a\u5e38\u306f\u4e0a\u8a18\u306e\u5f0f\u304c\u4f7f\u7528\u3055\u308c\u307e\u3059\u304c\u3001\u4ee5\u4e0b\u306e\u4ee3\u6570\u5f0f\u3082\u540c\u7b49\u3067\u3042\u308b\u305f\u3081\u4f7f\u7528\u3067\u304d\u307e\u3059\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-234f660701e2c8cde3bdf7ecaa140a11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\cfrac{\\displaystyle\\sum_{i=1}^n x_i^2\\cdot f_i }{n}-\\overline{X}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"209\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u4f8b\u3068\u3057\u3066\u3001\u6b21\u306e\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u7cfb\u5217\u306e\u5206\u6563\u3092\u6c42\u3081\u307e\u3059\u3002 <\/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\/donnees-regroupees-dans-intervalles.png\" alt=\"\u9593\u9694\u3054\u3068\u306b\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\" class=\"wp-image-1274\" width=\"259\" height=\"190\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u307e\u305a\u3001\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u5e73\u5747\u3092\u6c7a\u5b9a\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u30af\u30e9\u30b9\u30de\u30fc\u30af\u3068\u983b\u5ea6\u306e\u7a4d\u3092\u542b\u3080\u5217\u3092\u983b\u5ea6\u30c6\u30fc\u30d6\u30eb\u306b\u8ffd\u52a0\u3057\u307e\u3059\u3002 <\/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\/moyenne-des-donnees-groupees.png\" alt=\"\u5e73\u5747\u3067\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\" class=\"wp-image-1275\" width=\"345\" height=\"190\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u3053\u3053\u3067\u3001\u8ffd\u52a0\u3057\u305f\u5217\u306e\u5408\u8a08\u3092\u30c7\u30fc\u30bf\u306e\u7dcf\u6570\u3067\u5272\u308b\u3053\u3068\u306b\u3088\u308a\u3001\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u5e73\u5747\u3092\u8a08\u7b97\u3057\u307e\u3059\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-cbe29749d3f628250dead48396088c9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{X}=\\cfrac{\\displaystyle\\sum_{i=1}^n x_i\\cdot f_i}{n}=\\cfrac{750}{30}=25\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"209\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u3001\u8a08\u7b97\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u5e73\u5747\u304b\u3089\u3001\u6b21\u306e 3 \u3064\u306e\u5217\u3092\u8ffd\u52a0\u3067\u304d\u307e\u3059\u3002 <\/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\/variance-pour-les-donnees-regroupees.png\" alt=\"\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u5206\u6563\" class=\"wp-image-1276\" width=\"642\" height=\"190\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u30d7\u30fc\u30eb\u3055\u308c\u305f\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u5206\u6563\u306f\u3001\u6700\u5f8c\u306e\u5217\u306e\u5408\u8a08\u3092\u89b3\u6e2c\u30c7\u30fc\u30bf\u306e\u7dcf\u6570\u3067\u5272\u3063\u305f\u3082\u306e\u306b\u306a\u308a\u307e\u3059\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-70d22837db07bbf1e13bb4acb2cfccba_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\\cdot f_i }{n}=\\cfrac{4200}{30}=140\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"335\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianza-y-desviacion-estandar\"><\/span>\u5206\u6563\u3068\u6a19\u6e96\u504f\u5dee<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5206\u6563\u3068\u6a19\u6e96\u504f\u5dee (\u307e\u305f\u306f\u6a19\u6e96\u504f\u5dee) \u306f<\/strong>\u5206\u6563\u306e 2 \u3064\u306e\u5c3a\u5ea6\u3067\u3042\u308a\u3001\u3069\u3061\u3089\u3082\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u5206\u6563\u306e\u5ea6\u5408\u3044\u3092\u793a\u3057\u307e\u3059\u3002\u305f\u3060\u3057\u3001<strong>\u5206\u6563\u3068\u6a19\u6e96\u504f\u5dee\u306e\u9055\u3044\u306f\u3001<\/strong>\u4e00\u822c\u306b\u5206\u6563\u306e\u65b9\u304c\u6a19\u6e96\u504f\u5dee\u306e 2 \u4e57\u3067\u3042\u308b\u305f\u3081\u3001\u5024\u304c\u5927\u304d\u304f\u306a\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002<\/p>\n<p>\u6a19\u6e96\u504f\u5dee\u306f\u4e00\u822c\u306b\u30ae\u30ea\u30b7\u30e3\u6587\u5b57\u306e\u30b7\u30b0\u30de (\u03c3) \u3067\u8868\u3055\u308c\u3001\u5206\u6563\u306f\u3053\u308c\u3089 2 \u3064\u306e\u5206\u6563\u30e1\u30c8\u30ea\u30c3\u30af\u306e\u9593\u306b\u5b58\u5728\u3059\u308b\u6570\u5b66\u7684\u95a2\u4fc2\u3067\u3042\u308b\u305f\u3081\u3001\u5206\u6563\u306f\u6587\u5b57\u30b7\u30b0\u30de\u306e\u4e8c\u4e57 (\u03c3 <sup>2<\/sup> ) \u3067\u8868\u3055\u308c\u307e\u3059\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-0c71ab111d7c483a2ad04cb5e9618da4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=\\sigma^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"103\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u30c7\u30fc\u30bf \u30bb\u30c3\u30c8\u306e\u5206\u6563\u5024\u3092\u8a08\u7b97\u3057\u305f\u3089\u3001\u5206\u6563\u306e\u5e73\u65b9\u6839\u3092\u6c42\u3081\u308b\u3060\u3051\u3067\u3001\u540c\u3058\u30bb\u30c3\u30c8\u306e\u6a19\u6e96\u504f\u5dee\u5024\u3092\u7c21\u5358\u306b\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\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-fab93067538628f5fa2d9bc829a7c470_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma=\\sqrt{\\sigma^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"68\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"varianza-poblacional-y-varianza-muestral\"><\/span>\u6bcd\u96c6\u56e3\u5206\u6563\u3068\u6a19\u672c\u5206\u6563<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8ad6\u7406\u7684\u306b\u306f\u3001<strong>\u6bcd\u96c6\u56e3\u306e\u5206\u6563\u306f<\/strong>\u7d71\u8a08\u7684\u306a\u6bcd\u96c6\u56e3\u306e\u5206\u6563\u306e\u8a08\u7b97\u3092\u6307\u3057\u307e\u3059\u304c\u3001\u4ee3\u308f\u308a\u306b<strong>\u6a19\u672c\u306e\u5206\u6563\u304c<\/strong>\u6a19\u672c\u306e\u5206\u6563\u306e\u8a08\u7b97\u306b\u9069\u7528\u3055\u308c\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u6bcd\u96c6\u56e3\u5206\u6563\u306e\u5f0f\u306f\u6a19\u672c\u5206\u6563\u306e\u5f0f\u3068\u306f\u7570\u306a\u308b\u305f\u3081\u3001\u3053\u308c\u3089\u306f 2 \u3064\u306e\u7570\u306a\u308b\u6982\u5ff5\u3067\u3059\u3002<\/p>\n<p>\u901a\u5e38\u3001\u5206\u6563\u306e\u6f14\u7fd2\u3067\u306f\u3001\u7279\u306b\u6307\u793a\u304c\u306a\u3044\u9650\u308a\u3001\u63d0\u4f9b\u3055\u308c\u305f\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u5206\u6563\u3092\u6c42\u3081\u308b\u306b\u306f\u3001<strong>\u6bcd\u5206\u6563\u306e\u5f0f<\/strong>\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u8a18\u4e8b\u306e\u5192\u982d\u3067\u8aac\u660e\u3057\u305f\u3082\u306e\u3067\u3059\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-aae456d460db4438c8ad43d11c36dedb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma^2=\\cfrac{\\displaystyle\\sum_{i=1}^n\\left(x_i-\\overline{X}\\right)^2}{n}\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"153\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3057\u304b\u3057\u3001\u304a\u305d\u3089\u304f\u4e00\u90e8\u306e\u554f\u984c\u3067\u306f\u3001\u7d71\u8a08\u30c7\u30fc\u30bf\u3092\u6a19\u672c\u3068\u3057\u3066\u6271\u3046\u3088\u3046\u306b\u6c42\u3081\u3089\u308c\u307e\u3059\u3002\u305d\u306e\u5834\u5408\u3001<strong>\u6a19\u672c\u5206\u6563\u306e\u5f0f\u3092<\/strong>\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\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-033364d2b74d014d944faade687d7b19_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=\"151\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u6bcd\u96c6\u56e3\u5206\u6563\u304c\u8a08\u7b97\u3055\u308c\u3066\u3044\u308b\u3053\u3068\u3092\u793a\u3059\u306b\u306f\u30ae\u30ea\u30b7\u30e3\u6587\u5b57 \u03c3 \u3067\u793a\u3055\u308c\u307e\u3059\u304c\u3001\u6a19\u672c\u5206\u6563\u304c\u8a08\u7b97\u3055\u308c\u308b\u5834\u5408\u306b\u306f\u6587\u5b57 s \u304c\u4f7f\u7528\u3055\u308c\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<p>\u3054\u89a7\u306e\u3068\u304a\u308a\u30012 \u3064\u306e\u5f0f\u306e\u552f\u4e00\u306e\u9055\u3044\u306f\u3001\u30b5\u30f3\u30d7\u30eb\u306e\u5206\u6563\u3092\u89b3\u6e2c\u5024\u306e\u7dcf\u6570\u304b\u3089 1 \u3092\u5f15\u3044\u305f\u5024\u3067\u5272\u308b\u5fc5\u8981\u304c\u3042\u308b\u3053\u3068\u3067\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u30c7\u30fc\u30bf\u9805\u76ee\u304c\u5408\u8a08 30 \u500b\u3042\u308b\u5834\u5408\u300129 \u3067\u5272\u308a\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u5206\u5b50\u306e\u8a08\u7b97\u306f\u307e\u3063\u305f\u304f\u540c\u3058\u65b9\u6cd5\u3067\u884c\u308f\u308c\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-varianza\"><\/span>\u5206\u6563\u7279\u6027<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5206\u6563\u306b\u306f\u6b21\u306e\u7279\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u30e9\u30f3\u30c0\u30e0\u5909\u6570\u306e\u5206\u6563\u306f\u5e38\u306b 0 \u4ee5\u4e0a\u306b\u306a\u308a\u307e\u3059\u3002\u540c\u69d8\u306b\u3001\u5206\u6563\u304c\u30bc\u30ed\u306e\u5834\u5408\u3001\u3059\u3079\u3066\u306e\u7d71\u8a08\u30c7\u30fc\u30bf\u304c\u540c\u3058\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/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-56edbbba242899a77fbdaf17859e5d89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(x)\\ge 0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"89\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u660e\u3089\u304b\u306b\u3001\u5358\u4e00\u5024\u306e\u5206\u6563\u306f\u30bc\u30ed\u3067\u3059\u3002<\/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-60234622e7a82de8d87a8e5e5af3a686_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(a)=0\\qquad a\\in \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"167\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u30b9\u30ab\u30e9\u30fc\u3068\u5909\u6570\u306e\u7a4d\u306e\u5206\u6563\u306f\u3001\u305d\u306e\u30b9\u30ab\u30e9\u30fc\u306e 2 \u4e57\u3068\u5909\u6570\u306e\u5206\u6563\u306e\u7a4d\u306b\u76f8\u5f53\u3057\u307e\u3059\u3002<\/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-cfa5d6d67c4af8203682ecbd0b76d525_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(aX)=a^2\\cdot Var(X)\\qquad a\\in \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"266\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> 2 \u3064\u306e\u5f93\u5c5e\u5909\u6570\u306e\u5408\u8a08\u306e\u5206\u6563\u306f\u3001\u5404\u5909\u6570\u306e\u500b\u5225\u306e\u5206\u6563\u306e\u5408\u8a08\u306b 2 \u3064\u306e\u5909\u6570\u9593\u306e\u5171\u5206\u6563\u306e 2 \u500d\u3092\u52a0\u3048\u305f\u3082\u306e\u306b\u76f8\u5f53\u3057\u307e\u3059\u3002<\/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-ad23ae4c3b77e0d08f974f1c6f858ec1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X+Y)=Var(X)+Var(Y)+2Cov(X,Y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"378\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u3057\u305f\u304c\u3063\u3066\u30012 \u3064\u306e\u5909\u6570\u304c\u72ec\u7acb\u3057\u3066\u3044\u308b\u5834\u5408\u3001\u305d\u308c\u3089\u306e\u5408\u8a08\u306e\u5206\u6563\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u305d\u308c\u3089\u306e\u5206\u6563\u3092\u52a0\u7b97\u3059\u308b\u3060\u3051\u3067\u5341\u5206\u3067\u3059\u3002<\/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-e1aa58a3af75d4e27a430273183e26b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X+Y)=Var(X)+Var(Y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"264\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u504f\u5dee\u306f\u3001\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u6570\u5b66\u7684\u671f\u5f85\u5024\u3067\u5b9a\u7fa9\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/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-3adf3028629c39719280e2611df6daf5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Var(X)=E\\bigl[(X-\\overline{X})^2\\bigr]\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"186\" style=\"vertical-align: 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