{"id":76,"date":"2023-08-05T17:33:30","date_gmt":"2023-08-05T17:33:30","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e6%a8%99%e6%ba%96%e5%81%8f%e5%b7%ae%e3%81%be%e3%81%9f%e3%81%af%e6%a8%99%e6%ba%96%e5%81%8f%e5%b7%ae\/"},"modified":"2023-08-05T17:33:30","modified_gmt":"2023-08-05T17:33:30","slug":"%e6%a8%99%e6%ba%96%e5%81%8f%e5%b7%ae%e3%81%be%e3%81%9f%e3%81%af%e6%a8%99%e6%ba%96%e5%81%8f%e5%b7%ae","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e6%a8%99%e6%ba%96%e5%81%8f%e5%b7%ae%e3%81%be%e3%81%9f%e3%81%af%e6%a8%99%e6%ba%96%e5%81%8f%e5%b7%ae\/","title":{"rendered":"\u6a19\u6e96\u504f\u5dee (\u307e\u305f\u306f\u6a19\u6e96\u504f\u5dee)"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u6a19\u6e96\u504f\u5dee\u3068\u3082\u547c\u3070\u308c\u308b\u6a19\u6e96\u504f\u5dee\u3068\u306f\u4f55\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u6a19\u6e96\u504f\u5dee\u306e\u8a08\u7b97\u65b9\u6cd5\u3001\u6bb5\u968e\u7684\u306a\u5b9f\u8df5\u4f8b\u3001\u304a\u3088\u3073\u4efb\u610f\u306e\u30c7\u30fc\u30bf \u30b5\u30f3\u30d7\u30eb\u306e\u6a19\u6e96\u504f\u5dee\u3092\u898b\u3064\u3051\u308b\u305f\u3081\u306e\u30aa\u30f3\u30e9\u30a4\u30f3\u8a08\u7b97\u6a5f\u3092\u5b66\u3073\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-desviacion-estandar-o-desviacion-tipica\"><\/span>\u6a19\u6e96\u504f\u5dee\uff08\u307e\u305f\u306f\u6a19\u6e96\u504f\u5dee\uff09\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u6a19\u6e96\u504f\u5dee \u306f<\/strong>\u3001<strong>\u6a19\u6e96\u504f\u5dee<\/strong>\u3068\u3082\u547c\u3070\u308c\u3001\u7d71\u8a08\u7684\u5206\u6563\u306e\u5c3a\u5ea6\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u6a19\u6e96\u504f\u5dee\u306f\u7d71\u8a08\u30c7\u30fc\u30bf\u306e\u3070\u3089\u3064\u304d\u3092\u793a\u3059\u5024\u3067\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u6a19\u6e96\u504f\u5dee (\u307e\u305f\u306f\u6a19\u6e96\u504f\u5dee) \u306f\u3001\u6bcd\u96c6\u56e3\u307e\u305f\u306f\u7d71\u8a08\u30b5\u30f3\u30d7\u30eb\u306e\u5206\u6563\u3092\u5b9a\u91cf\u5316\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/strong>\u30c7\u30fc\u30bf\u7cfb\u5217\u306e\u6a19\u6e96\u504f\u5dee\u304c\u5927\u304d\u3044\u307b\u3069\u3001\u30c7\u30fc\u30bf\u306f\u3088\u308a\u5206\u6563\u3057\u3066\u3044\u307e\u3059\u3002\u307e\u305f\u3001\u9006\u306e\u89e3\u91c8\u3082\u53ef\u80fd\u3067\u3059\u3002\u6a19\u6e96\u504f\u5dee\u304c\u4f4e\u3044\u5834\u5408\u3001\u3053\u308c\u306f\u4e00\u822c\u306b\u30c7\u30fc\u30bf\u304c\u5e73\u5747\u5024\u306b\u975e\u5e38\u306b\u8fd1\u3044\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n<p>\u6bcd\u96c6\u56e3\u306e\u6a19\u6e96\u504f\u5dee\u307e\u305f\u306f\u6a19\u6e96\u504f\u5dee\u3092\u8a08\u7b97\u3059\u308b\u5834\u5408\u3001<strong>\u6a19\u6e96\u504f\u5dee\u306e\u8a18\u53f7\u306f<\/strong>\u30ae\u30ea\u30b7\u30e3\u6587\u5b57\u306e\u30b7\u30b0\u30de (\u03c3) \u3067\u3059\u3002\u305f\u3060\u3057\u3001\u6a19\u672c\u6a19\u6e96\u504f\u5dee\u306b\u95a2\u3057\u3066\u306f\u3001\u7d71\u8a08\u7684\u6e2c\u5b9a\u5024\u3092\u8868\u3059\u305f\u3081\u306b\u6587\u5b57 s \u304c\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u4e00\u90e8\u306e\u7d71\u8a08\u3084\u78ba\u7387\u306e\u672c\u3067\u306f\u3001\u6a19\u6e96\u504f\u5dee\u306f\u6a19\u6e96\u504f\u5dee\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-desviacion-estandar-o-desviacion-tipica\"><\/span>\u6a19\u6e96\u504f\u5dee\uff08\u307e\u305f\u306f\u6a19\u6e96\u504f\u5dee\uff09\u306e\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6a19\u6e96\u504f\u5dee (\u307e\u305f\u306f\u6a19\u6e96\u504f\u5dee) \u306f\u3001\u30c7\u30fc\u30bf\u7cfb\u5217\u306e\u504f\u5dee\u306e\u4e8c\u4e57\u548c\u306e\u5e73\u65b9\u6839\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>\u3057\u305f\u304c\u3063\u3066<strong>\u3001\u6a19\u6e96\u504f\u5dee (\u307e\u305f\u306f\u6a19\u6e96\u504f\u5dee) \u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f<\/strong>\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\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\/ecart-type-ecart-type.png\" alt=\"\u6a19\u6e96\u504f\u5dee\u3001\u6a19\u6e96\u504f\u5dee\" class=\"wp-image-1652\" width=\"334\" height=\"334\" srcset=\"\" sizes=\"auto, \"><\/figure>\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\u6a19\u6e96\u504f\u5dee\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/u><\/p>\n<p>\u7d50\u8ad6\u3068\u3057\u3066\u3001\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u6a19\u6e96\u504f\u5dee\u3092\u898b\u3064\u3051\u308b\u306b\u306f\u3001\u3059\u3079\u3066\u306e\u504f\u5dee (\u30c7\u30fc\u30bf\u30dd\u30a4\u30f3\u30c8\u3068\u7b97\u8853\u5e73\u5747\u306e\u5dee\u3068\u3057\u3066\u5b9a\u7fa9) \u3092\u8a08\u7b97\u3057\u3001\u504f\u5dee\u3092 2 \u306b\u5897\u3084\u3057\u3001\u305d\u308c\u3089\u3092\u3059\u3079\u3066\u52a0\u7b97\u3057\u3066\u3001\u6b21\u306e\u5024\u3067\u5272\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u5408\u8a08\u3002\u30c7\u30fc\u30bf\u306e\u6570\u3092\u8a08\u7b97\u3057\u3001\u6700\u5f8c\u306b\u5e73\u65b9\u6839\u3092\u6c42\u3081\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-desviacion-estandar-o-desviacion-tipica\"><\/span>\u6a19\u6e96\u504f\u5dee\uff08\u307e\u305f\u306f\u6a19\u6e96\u504f\u5dee\uff09\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6a19\u6e96\u504f\u5dee (\u307e\u305f\u306f\u6a19\u6e96\u504f\u5dee) \u306e\u5b9a\u7fa9\u3092\u8003\u616e\u3057\u3066\u3001\u30c7\u30fc\u30bf\u7cfb\u5217\u306e\u6a19\u6e96\u504f\u5dee\u304c\u3069\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u308b\u304b\u3092\u78ba\u8a8d\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u4ee5\u4e0b\u306b\u6bb5\u968e\u7684\u306a\u4f8b\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u6b21\u306e\u5024\u306e\u6a19\u6e96\u504f\u5dee\u3092\u8a08\u7b97\u3057\u307e\u3059: 3\u30016\u30012\u30019\u30014\u3002<\/li>\n<\/ul>\n<p>\u6700\u521d\u306b\u884c\u3046\u5fc5\u8981\u304c\u3042\u308b\u306e\u306f\u3001\u6a19\u672c\u306e\u5e73\u5747\u5024\u3092\u6c7a\u5b9a\u3059\u308b\u3053\u3068\u3067\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u3059\u3079\u3066\u306e\u30c7\u30fc\u30bf\u3092\u5408\u8a08\u3057\u3001\u89b3\u6e2c\u5024\u306e\u5408\u8a08\u6570\u3067\u3042\u308b 5 \u3067\u5272\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-29d93bdafc53afa6ed1e684cdf0ed8cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}=\\cfrac{3+6+2+9+4}{5}=4,8\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"216\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u3053\u3053\u3067\u306f\u6a19\u6e96\u504f\u5dee\u306e\u516c\u5f0f\u3092\u4f7f\u7528\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-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<p>\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-049d3262c2c56e3c39cae6c520dd2e67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sigma =\\sqrt{\\frac{(3-4,8)^2+(6-4,8)^2+(2-4,8)^2+(9-4,8)^2+(4-4,8)^2}{5}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"531\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p>\u305d\u3057\u3066\u6700\u5f8c\u306b\u6a19\u6e96\u504f\u5dee\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-d52b5396ff383310226cf152a9bf87ea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle\\sigma &amp; = \\sqrt{\\frac{(-1,8)^2+1,2^2+(-2,8)^2+4,2^2+(-0,8)^2}{5}}\\\\[2ex]&amp;=\\sqrt{\\frac{3,24+1,44+7,84+17,64+0,64}{5}}\\\\[2ex]&amp;= \\sqrt{\\frac{30,8}{5}}=\\sqrt{6,16}=2,48 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"173\" width=\"392\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-desviacion-estandar-o-desviacion-tipica\"><\/span>\u6a19\u6e96\u504f\u5dee (\u307e\u305f\u306f\u6a19\u6e96\u504f\u5dee) \u8a08\u7b97\u30c4\u30fc\u30eb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e00\u9023\u306e\u7d71\u8a08\u30c7\u30fc\u30bf\u3092\u6b21\u306e\u30aa\u30f3\u30e9\u30a4\u30f3\u8a08\u7b97\u6a5f\u306b\u5165\u529b\u3057\u3066\u3001\u305d\u306e\u6a19\u6e96\u504f\u5dee (\u307e\u305f\u306f\u6a19\u6e96\u504f\u5dee) \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=\"3 6 2 9 0.7 4 ...\" 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=\"\u6a19\u6e96\u504f\u5dee\u3092\u8a08\u7b97\u3059\u308b\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"desviacion-estandar-o-tipica-para-datos-agrupados\"><\/span>\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u6a19\u6e96 (\u307e\u305f\u306f\u5178\u578b) \u504f\u5dee<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\u6a19\u6e96\u504f\u5dee (\u307e\u305f\u306f\u6a19\u6e96\u504f\u5dee) \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\u504f\u5dee\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u5404\u9699\u9593\u3092\u56db\u89d2\u306b\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 style=\"margin-bottom:12px\"><span style=\"color:#101010;font-weight: normal;\">\u89b3\u6e2c\u5024\u306e\u5408\u8a08\u6570\u3067\u5272\u308a\u307e\u3059\u3002<\/span><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\u524d\u306e\u5024\u306e\u5e73\u65b9\u6839\u3092\u8a08\u7b97\u3057\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\u6a19\u6e96\u504f\u5dee\u3067\u3059\u3002<\/span><\/li>\n<\/ol>\n<p>\u7d50\u8ad6\u3068\u3057\u3066\u3001\u9593\u9694\u306b\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u6a19\u6e96\u504f\u5dee\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\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-6a435319a8eafa0c374dc44e85709b4c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sigma=\\sqrt{\\frac{\\displaystyle\\sum_{i=1}^N\\left(x_i-\\overline{x}\\right)^2\\cdot f_i }{N}}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"182\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u901a\u5e38\u306f\u4e0a\u8a18\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u307e\u3059\u304c\u3001\u6b21\u306e\u3088\u3046\u306a\u4ee3\u6570\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3082\u540c\u69d8\u306e\u7d50\u679c\u304c\u5f97\u3089\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-b2a1493ab90f08b0bc32dfa9a4108590_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sigma=\\sqrt{\\frac{\\displaystyle\\sum_{i=1}^n x_i^2\\cdot f_i }{N}-\\overline{x}^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"170\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u3053\u308c\u304c\u3069\u306e\u3088\u3046\u306b\u884c\u308f\u308c\u308b\u304b\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u306b\u3001\u4ee5\u4e0b\u306f\u533a\u9593\u306b\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u6a19\u6e96\u504f\u5dee\u306b\u95a2\u3059\u308b\u6bb5\u968e\u7684\u306a\u6f14\u7fd2\u3067\u3059\u3002\u3088\u308a\u6b63\u78ba\u306b\u306f\u3001\u6b21\u306e\u7d71\u8a08\u30c7\u30fc\u30bf\u306e\u6a19\u6e96\u504f\u5dee\u304c\u8a08\u7b97\u3055\u308c\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\/exemple-de-donnees-regroupees-en-intervalles.png\" alt=\"\u9593\u9694\u3054\u3068\u306b\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u4f8b\" class=\"wp-image-1679\" width=\"244\" height=\"180\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u307e\u305a\u3001\u7b97\u8853\u5e73\u5747\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u3001\u5404\u533a\u9593\u306e\u30af\u30e9\u30b9 \u30b9\u30b3\u30a2\u306b\u305d\u306e\u983b\u5ea6\u3092\u639b\u3051\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\/calcul-de-table-de-donnees.png\" alt=\"\" class=\"wp-image-1682\" width=\"326\" height=\"180\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u5e73\u5747\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-ce59b9a32c04cd7349126ce0539db196_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{46200}{100}=462\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"229\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u5e73\u5747\u5024\u304c\u308f\u304b\u3063\u305f\u306e\u3067\u3001\u6b21\u306e 3 \u3064\u306e\u5217\u3092\u30c7\u30fc\u30bf \u30c6\u30fc\u30d6\u30eb\u306b\u8ffd\u52a0\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\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\/exercice-resolu-ecart-type-donnees-groupees.png\" alt=\"\u6a19\u6e96\u504f\u5dee\u307e\u305f\u306f\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u6a19\u6e96\u504f\u5dee\u306e\u6f14\u7fd2\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f\" class=\"wp-image-1683\" width=\"606\" height=\"180\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u6a19\u6e96\u504f\u5dee\u306f\u3001\u6700\u5f8c\u306e\u5217\u306e\u5408\u8a08\u306e\u5e73\u65b9\u6839\u3092\u89b3\u6e2c\u5024\u306e\u5408\u8a08\u6570\u3067\u5272\u3063\u305f\u7d50\u679c\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-71f6868fe660a5b263f7dba58b823e4d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sigma=\\sqrt{\\frac{\\displaystyle\\sum_{i=1}^N\\left(x_i-\\overline{x}\\right)^2\\cdot f_i }{N}}=\\sqrt{\\frac{1445600}{100}}=120,23\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"365\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"desviacion-estandar-o-tipica-y-varianza\"><\/span>\u6a19\u6e96 (\u307e\u305f\u306f\u5178\u578b) \u504f\u5dee\u3068\u5206\u6563<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u6a19\u6e96\u504f\u5dee (\u307e\u305f\u306f\u5178\u578b\u504f\u5dee) \u3068\u5206\u6563\u306e\u95a2\u4fc2\u306f\u3001<\/strong>\u6a19\u6e96\u504f\u5dee\u304c\u5206\u6563\u306e\u5e73\u65b9\u6839\u3067\u3042\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u5206\u6563\u5024\u304c\u308f\u304b\u3063\u3066\u3044\u308c\u3070\u3001\u5e73\u65b9\u6839\u3092\u53d6\u308b\u3053\u3068\u3067\u6a19\u6e96\u504f\u5dee\u3092\u7c21\u5358\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u9006\u306b\u3001\u6a19\u6e96\u504f\u5dee\u304c\u308f\u304b\u3063\u3066\u3044\u308b\u5834\u5408\u306f\u3001\u5024\u3092 2 \u4e57\u3059\u308b\u3053\u3068\u3067\u5206\u6563\u3092\u6c42\u3081\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-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>\u5b9f\u969b\u3001\u5206\u6563\u306f\u6a19\u6e96\u504f\u5dee\u306e\u4e8c\u4e57\u8a18\u53f7\u3092\u4f7f\u7528\u3059\u308b\u3060\u3051\u3067\u7c21\u5358\u306b\u8868\u3059\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u6bcd\u96c6\u56e3\u5206\u6563\u306e\u8a18\u53f7\u306f\u30b7\u30b0\u30de\u4e8c\u4e57 (\u03c3 <sup>2<\/sup> ) \u3067\u3042\u308a\u3001\u6a19\u672c\u5206\u6563\u306e\u8a18\u53f7\u306f s \u4e8c\u4e57 (s <sup>2<\/sup> ) \u3067\u3059\u3002<\/p>\n<p>\u3055\u3089\u306b\u3001\u6a19\u6e96\u504f\u5dee\u3068\u5206\u6563\u306e\u6982\u5ff5\u306f\u3001\u3069\u3061\u3089\u3082\u4e00\u9023\u306e\u7d71\u8a08\u30c7\u30fc\u30bf\u306e\u5206\u6563\u3092\u793a\u3059\u305f\u3081\u3001\u540c\u69d8\u306e\u89e3\u91c8\u3092\u6301\u3061\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-desviacion-estandar-o-desviacion-tipica\"><\/span>\u6a19\u6e96\u504f\u5dee\uff08\u307e\u305f\u306f\u6a19\u6e96\u504f\u5dee\uff09\u306e\u6027\u8cea<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u6a19\u6e96\u504f\u5dee\u306b\u306f\u6b21\u306e\u7279\u6027\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u30c7\u30fc\u30bf \u30b5\u30f3\u30d7\u30eb\u306e\u6a19\u6e96\u504f\u5dee\u3092\u8ca0\u306b\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u307e\u305b\u3093\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-6dc2fa2a98bf03919de68092ecd42e0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma \\ge 0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"43\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<ul>\n<li>\u3059\u3079\u3066\u306e\u30c7\u30fc\u30bf\u304c\u540c\u3058\u3067\u3042\u308c\u3070\u3001\u6a19\u6e96\u504f\u5dee\u306f\u30bc\u30ed\u306b\u306a\u308a\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-5771378afa7d193b85b4075fea1ddbca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma =0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li>\u3059\u3079\u3066\u306e\u30c7\u30fc\u30bf\u306b\u5b9a\u6570\u9805\u3092\u52a0\u3048\u3066\u3082\u6a19\u6e96\u504f\u5dee\u306e\u5024\u306f\u5909\u308f\u308a\u307e\u305b\u3093\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-12ed23ebb645e96aa0b8262997874bf1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma (X+k)=\\sigma (X)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"135\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u3059\u3079\u3066\u306e\u30c7\u30fc\u30bf\u306b\u6570\u5024\u3092\u4e57\u7b97\u3059\u308b\u3068\u3001\u6a19\u6e96\u504f\u5dee\u306b\u306f\u305d\u306e\u6570\u5024\u306e\u7d76\u5bfe\u5024\u304c\u4e57\u7b97\u3055\u308c\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-2464c848bfc171c1800da25602ac68bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma (k\\cdot X)=|k|\\cdot \\sigma (X)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"159\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> 2 \u3064\u306e\u78ba\u7387\u5909\u6570\u306e\u5408\u8a08\u306e\u6a19\u6e96\u504f\u5dee\u306f\u3001\u5909\u6570\u306e\u5206\u6563\u306e\u5408\u8a08\u306e\u5e73\u65b9\u6839\u306b 2 \u3064\u306e\u5909\u6570\u9593\u306e\u5171\u5206\u6563\u306e 2 \u500d\u3092\u52a0\u3048\u305f\u3082\u306e\u306b\u7b49\u3057\u304f\u306a\u308a\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-7a5efdb8faca6ce59563063a6a8d9bc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" \\sigma(X+Y)=\\sqrt{Var(X)+Var(Y)+2\\cdot Cov(X,Y)}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"388\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<ul>\n<li>\u3055\u307e\u3056\u307e\u306a\u5206\u5e03\u306e\u6a19\u6e96\u504f\u5dee (\u03c3 <sub>i<\/sub> ) \u3068\u305d\u306e\u30c7\u30fc\u30bf\u6570 (n <sub>i<\/sub> ) \u304c\u308f\u304b\u3063\u3066\u3044\u308b\u5834\u5408\u306f\u3001\u6b21\u306e\u5f0f\u3092\u9069\u7528\u3057\u3066\u5408\u8a08\u6a19\u6e96\u504f\u5dee\u3092\u8a08\u7b97\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-7d2dca2d1ca2836361422677310d960a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sigma=\\sqrt{\\frac{\\displaystyle \\sum_{i=1}^N n_i\\cdot \\sigma_i^2}{\\displaystyle \\sum_{i=1}^N n_i}}=\\sqrt{\\frac{\\displaystyle n_1\\cdot \\sigma_1^2+n_2\\cdot \\sigma_2^2+\\dots +n_N\\cdot \\sigma_N^2}{\\displaystyle n_1+n_2+\\dots+n_N}}\" title=\"Rendered by QuickLaTeX.com\" height=\"128\" width=\"423\" style=\"vertical-align: -58px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u6a19\u6e96\u504f\u5dee\u3068\u3082\u547c\u3070\u308c\u308b\u6a19\u6e96\u504f\u5dee\u3068\u306f\u4f55\u304b\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u6a19\u6e96\u504f\u5dee\u306e\u8a08\u7b97\u65b9\u6cd5\u3001\u6bb5\u968e\u7684\u306a\u5b9f\u8df5\u4f8b\u3001\u304a\u3088\u3073\u4efb\u610f\u306e\u30c7\u30fc\u30bf \u30b5\u30f3\u30d7\u30eb\u306e\u6a19\u6e96\u504f\u5dee\u3092\u898b\u3064\u3051\u308b\u305f\u3081\u306e\u30aa\u30f3\u30e9\u30a4\u30f3\u8a08\u7b97\u6a5f\u3092\u5b66\u3073\u307e\u3059\u3002 \u6a19\u6e96\u504f\u5dee\uff08\u307e\u305f\u306f\u6a19\u6e96\u504f\u5dee\uff09\u3068\u306f 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