{"id":161,"date":"2020-05-21T04:38:44","date_gmt":"2020-05-21T04:38:44","guid":{"rendered":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/?p=161"},"modified":"2020-06-30T20:29:53","modified_gmt":"2020-06-30T11:29:53","slug":"0910","status":"publish","type":"post","link":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/0910","title":{"rendered":"\u7b97\u8853\u5e73\u5747\u3068\u306f\u3010\u521d\u5fc3\u8005\u304b\u3089\u3067\u3082\u5b66\u3079\u308b\u5e73\u5747\u5024\u3011"},"content":{"rendered":"\n

\u5b66\u7fd2\u30ec\u30d9\u30eb\uff1a\u4e2d\u5b66\u751f\u3000\u96e3\u6613\u5ea6\uff1a\u2605\u2606\u2606\u2606\u2606<\/span><\/p>\n\n\n\n\n\n\n\n

\u4ee3\u8868\u5024(averages)\u3068\u306f\u3001\u30c7\u30fc\u30bf\u306e\u5206\u5e03\u3092\u7279\u5fb4\u3065\u3051\u308b\u305f\u3081\u306e\u6570\u5b57\u3067\u3059\u3002\u5e79\u8449\u56f3<\/a>\u3084\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0<\/a>\u306f\u8996\u899a\u7684\u306b\u30c7\u30fc\u30bf\u3092\u8aac\u660e\u3057\u3088\u3046\u3068\u3059\u308b\u30c7\u30fc\u30bf\u306e\u6574\u7406\u6cd5\u3067\u306f\u3042\u308b\u304c\u3001\u3053\u308c\u3060\u3051\u3067\u306f\u3001\u8a3c\u62e0\u304c\u4e0d\u5341\u5206\u3067\u3042\u308b\u3002\u5341\u5206\u306a\u8a3c\u62e0\u3092\u63d0\u793a\u3059\u308b\u306b\u306f\u3001\u56f3\u3068\u5408\u308f\u305b\u3066\u30c7\u30fc\u30bf\u306e\u7279\u5fb4\u3092\u8868\u3059\u6570\u5b57\u3082\u5fc5\u8981\u306b\u306a\u308b\u3002\u3053\u306e\u8a18\u4e8b\u3067\u306f\u30c7\u30fc\u30bf\u306e\u7279\u5fb4\u3092\u8868\u3059\u6570\u5b57\u3001\u4ee3\u8868\u5024\u306b\u3064\u3044\u3066\u307e\u3068\u3081\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n

\u5e73\u5747<\/h2>\n\n\n\n

\u3000\u5e73\u5747\u3068\u306f\u3001\u30c7\u30fc\u30bf\u306e\u4e2d\u5fc3\u3092\u8868\u3059\u6307\u6a19\u3067\u3059\u3002<\/p>\n\n\n\n

<\/div>

\u30c7\u30fc\u30bf\u306e\u7279\u5fb4\u4ed8\u3051\u3067\u4e00\u756a\u6709\u540d\u306a\u306e\u304c\u5e73\u5747(mean)\u3067\u3059\u306d\uff01
\u3067\u3059\u304c\u3001\u5e73\u5747\u306b\u306f\u3044\u308d\u3044\u308d\u306a\u7a2e\u985e\u304c\u3042\u308b\u306e\u3092\u3054\u5b58\u3058\u3067\u3059\u304b\uff1f<\/p>

<\/div><\/div><\/div>\n\n\n\n
<\/div>

\u5e73\u5747\u3063\u3066\u300c\u8db3\u3057\u3066\u5272\u308b\u300d\u3082\u306e\u3060\u3051\u3058\u3083\u306a\u3044\u306e\u3067\u3059\u304b\uff1f<\/p>

<\/div><\/div><\/div>\n\n\n\n
<\/div>

\u5b9f\u306f\u305f\u304f\u3055\u3093\u306e\u7a2e\u985e\u304c\u3042\u308a\u307e\u3059\u3002
\u4e00\u89a7\u3092\u898b\u305f\u3044\u65b9\u306f\u3001\u4e0b\u306e\u30ea\u30f3\u30af\u304b\u3089\u3069\u3046\u305e\uff01
\u4eca\u56de\u3001\u7d39\u4ecb\u3059\u308b\u306e\u306f\u5e73\u5747\u306e\u4e2d\u3067\u6700\u3082\u30e1\u30b8\u30e3\u30fc\u306a\u7b97\u8853\u5e73\u5747\u306b\u3064\u3044\u3066\u7d39\u4ecb\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>

<\/div><\/div><\/div>\n\n\n\n

\u203b\u3000\u5e73\u5747\u306e\u4f8b\u306f\uff1c\u4ee3\u8868\u5024\uff1e<\/a>\u304b\u3089\u3054\u89a7\u304f\u3060\u3055\u3044\uff01<\/p>\n\n\n\n

\u7b97\u8853\u5e73\u5747(arithmetic mean)<\/strong><\/h2>\n\n\n\n
\u7b97\u8853\u5e73\u5747(arithmetic mean)<\/strong><\/div>\n
\n\u5e73\u5747\u3067\u4e00\u756a\u6709\u540d\u306a\u306e\u304c\u7b97\u8853\u5e73\u5747\u3068\u547c\u3070\u308c\u3066\u3044\u308b\u3082\u306e\u3067\u3059\u3002\u30c7\u30fc\u30bf\u6570\\(n\\)\u306e\u30c7\u30fc\u30bf\\( X_{1},X_{2},\\cdots,X_{n} \\)\u304c\u5f97\u3089\u308c\u305f\u3068\u304d\u7b97\u8853\u5e73\u5747\\(x_{a}\\)\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002\n$$\nx_{a} = \\frac{1}{n}\\sum_{i=1}^{n}X_{i} = \\frac{1}{n}\\left( X_{1}+X_{2}+\\cdots+X_{n} \\right)\n$$\n<\/div>\n\n\n\n

<\/p>\n\n\n\n

\u6570\u5f0f\u3060\u3051\u3067\u306f\u5206\u304b\u3089\u306a\u3044\u3068\u3044\u3046\u65b9\u306e\u305f\u3081\u306b\u5177\u4f53\u4f8b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\uff01
\u4e0b\u306e\u8868\u306f5\u4eba\u306e\u30c6\u30b9\u30c8\u30c7\u30fc\u30bf\u3092\u307e\u3068\u3081\u305f\u3082\u306e\u3067\u3059\u3002<\/p>\n\n\n\n\n\n\n\n
\u00a0<\/td>\nA\u541b<\/td>\nB\u541b<\/td>\nC\u541b<\/td>\nD\u541b<\/td>\nE\u541b<\/td>\n<\/tr>\n
\u70b9\u6570<\/td>\n60<\/td>\n64<\/td>\n55<\/td>\n75<\/td>\n81<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\n\n\n

\u3053\u306e\u3068\u304d\u3001\u30c7\u30fc\u30bf\u6570\u306f\\(n=5\\)\u3067\u3042\u308a
\\(X_{1}=60,\\ X_{2}=64,\\ X_{3}=55,\\ X_{4}=75,\\ X_{5}=81\\)
\u3068\u306a\u308a\u307e\u3059\u3002\u4e0a\u306e\u7b97\u8853\u5e73\u5747\u306e\u5f0f\u306b\u5f53\u3066\u306f\u3081\u308b\u3068

\\begin{align}
x_{a} = \\frac{1}{5}\\sum_{i=1}^{5}X_{i} &= \\frac{1}{5}\\left( X_{1}+X_{2}+\\cdots+X_{5} \\right) \\\\
&=\\frac{1}{5}\\left( 60+64+\\cdots+81 \\right) \\\\
&=67
\\end{align}<\/div><\/p>\n\n\n\n

\u3068\u306a\u308b\u306e\u3067\u3001\u3053\u306e5\u4eba\u306e\u5e73\u5747\u306f67\u70b9\u3068\u3044\u3046\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n\n\n\n

<\/div>

\u79c1\u304c\u77e5\u3063\u3066\u3044\u308b\u5e73\u5747\u306f\u7b97\u8853\u5e73\u5747\u3063\u3066\u3044\u3046\u306e\u3067\u3059\u306d\uff01
\u7b97\u8853\u5e73\u5747\u306e\u5f31\u70b9\u3063\u3066\u3042\u308b\u306e\u3067\u3059\u304b\uff1f<\/p>

<\/div><\/div><\/div>\n\n\n\n
<\/div>

\u3082\u3061\u308d\u3093\u3042\u308a\u307e\u3059\uff01
\u7b97\u8853\u5e73\u5747\u306f\u8a08\u7b97\u3057\u3084\u3059\u304f\u3001\u7d71\u8a08\u5b66\u7684\u306b\u3044\u308d\u3044\u308d\u306a\u6027\u8cea\u3092\u6301\u3063\u3066\u3044\u308b\u3053\u3068\u304b\u3089\u3088\u304f\u4f7f\u308f\u308c\u3066\u3044\u308b\u306e\u3067\u3059\u304c\u3001\u7b97\u8853\u5e73\u5747\u304c\u9069\u3055\u306a\u3044\u4f8b\u3082\u3042\u308a\u307e\u3059\u3002\u4e0b\u306e\u5177\u4f53\u4f8b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\uff01<\/p>

<\/div><\/div><\/div>\n\n\n\n
 <\/td>A\u541b<\/td>B\u541b<\/td>C\u541b<\/td>D\u541b<\/td>E\u541b<\/td><\/tr>
\u70b9\u6570<\/td>0<\/td>0<\/td>0<\/td>0<\/td>100<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
<\/div>

1\u4eba\u3060\u3051\u304c100\u70b9\u3001\u305d\u306e\u4ed6\u306e\u4eba\u304c0\u70b9\u3060\u3063\u305f\u5834\u5408\u3092\u8003\u3048\u308b\u3068\u7b97\u8853\u5e73\u5747\u306f20\u70b9\u3068\u306a\u308a\u307e\u3059\u3002\u3053\u3053\u3067\u554f\u984c\u3068\u306a\u308b\u306e\u306f\u3001\u3053\u306e\u30c6\u30b9\u30c8\u306e\u5e73\u574720\u70b9\u306f\u672c\u5f53\u306b\u30c7\u30fc\u30bf\u306e\u4e2d\u5fc3\u306a\u306e\u304b\u3069\u3046\u304b\u3068\u3044\u3046\u554f\u984c\u3067\u3059\u3002<\/p>

<\/div><\/div><\/div>\n\n\n\n
<\/div>

\u3053\u306e\u30c7\u30fc\u30bf\u3060\u3068E\u541b\u3060\u3051\u7570\u5e38\u306b\u98db\u3073\u306c\u3051\u3066\u70b9\u6570\u304c\u9ad8\u3044\u3067\u3059\u3088\u306d\uff01<\/p>

<\/div><\/div><\/div>\n\n\n\n
<\/div>

\u305d\u3046\u306a\u3093\u3067\u3059\uff01
\u7b97\u8853\u5e73\u5747\u306f\u300c\u98db\u3073\u306c\u3051\u305f\u30c7\u30fc\u30bf\u300d\u304c\u5b58\u5728\u3059\u308b\u3068\u3001\u3046\u307e\u304f\u6a5f\u80fd\u3057\u306a\u304f\u306a\u3063\u3066\u3057\u307e\u3046\u306e\u3067\u3059\u3002<\/p>

<\/div><\/div><\/div>\n\n\n\n

\u89b3\u6e2c\u5024\u304b\u3089\u5927\u304d\u304f\u96e2\u308c\u305f\u89b3\u6e2c\u5024\u3092\u7279\u306b\u7570\u5e38\u5024\uff08\u5916\u308c\u5024 outlier\uff09<\/strong>\u3068\u547c\u3073\u307e\u3059\u3002\u7b97\u8853\u5e73\u5747\u306f\u7570\u5e38\u5024\u304c\u591a\u3059\u304e\u308b\u3068\u3001\u5e73\u5747\u3068\u3057\u3066\u306e\u5f79\u5272\u304c\u306a\u304f\u306a\u3063\u3066\u3057\u307e\u3044\u307e\u3059\u3002\u5916\u308c\u5024\u304c\u5b58\u5728\u3059\u308b\u5834\u5408\u3001\u5225\u306e\u8a18\u4e8b\u3067\u7d39\u4ecb\u3057\u3066\u3044\u308b\u5208\u308a\u8fbc\u307f\u5e73\u5747<\/a>\u3001\u4e2d\u592e\u5024<\/a>\u306a\u3069\u3092\u7528\u3044\u307e\u3059\u3002<\/p>\n\n\n\n

\u203b\u3000\u7570\u5e38\u5024\uff08\u5916\u308c\u5024\uff09\u306b\u3064\u3044\u3066\u8a73\u3057\u304f\u77e5\u308a\u305f\u3044\u65b9\u306f\uff1c\u5916\u308c\u5024\uff08\u7570\u5e38\u5024\uff09\u3068\u306f\uff1e<\/a>\u306e\u8a18\u4e8b\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n

\u305d\u306e\u4ed6\u306e\u5e73\u5747<\/h2>\n\n\n\n

\u30fb\u3000\u5208\u308a\u8fbc\u307f\u5e73\u5747<\/a>\uff1a\u7570\u5e38\u5024\u306b\u5bfe\u5fdc\u3059\u308b\u305f\u3081\u306e\u7b97\u8853\u5e73\u5747\u306e\u3088\u3046\u306a\u3082\u306e\u3067\u3059\u3002<\/p>\n\n\n\n

\u30fb\u3000\u5e7e\u4f55\u5e73\u5747<\/a>\uff1a\u6210\u9577\u7387\u306a\u3069\u306b\u7528\u3044\u308b\u5e73\u5747\u3067\u3059\u3002<\/p>\n\n\n\n

\u30fb\u3000\u8abf\u548c\u5e73\u5747<\/a>\uff1a\u6bd4\u306b\u95a2\u3059\u308b\u5e73\u5747\u3067\u3059\u3002<\/p>\n\n\n\n

\u30fb\u3000\u4e2d\u592e\u5024\uff08\u30e1\u30c7\u30a3\u30a2\u30f3\uff09<\/a>\uff1a\u6709\u9650\u500b\u306e\u30c7\u30fc\u30bf\u306b\u5bfe\u3057\u3066\u7528\u3044\u308b\u5e73\u5747\u3067\u3059\u3002<\/p>\n\n\n\n

\u30fb\u3000\u6700\u983b\u5024\uff08\u30e2\u30fc\u30c9\uff09<\/a>\uff1a\u30c7\u30fc\u30bf\u3092\u30ab\u30c6\u30b4\u30ea\u3084\u968e\u7d1a\u5225\u306b\u5206\u3051\u305f\u3068\u304d\u306b\u7528\u3044\u308b\u5e73\u5747\u3067\u3059\u3002<\/p>\n\n\n","protected":false},"excerpt":{"rendered":"

\u5b66\u7fd2\u30ec\u30d9\u30eb\uff1a\u4e2d\u5b66\u751f\u3000\u96e3\u6613\u5ea6\uff1a\u2605\u2606\u2606\u2606\u2606 \u4ee3\u8868\u5024(averages)\u3068\u306f\u3001\u30c7\u30fc\u30bf\u306e\u5206\u5e03\u3092\u7279\u5fb4\u3065\u3051\u308b\u305f\u3081\u306e\u6570\u5b57\u3067\u3059\u3002\u5e79\u8449\u56f3\u3084\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306f\u8996\u899a\u7684 … <\/p>\n","protected":false},"author":1,"featured_media":196,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[9],"tags":[10,23,24],"jetpack_featured_media_url":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-content\/uploads\/2020\/05\/fe5298b70d9972a91424adc0358d5ef6_t.jpeg","_links":{"self":[{"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/posts\/161"}],"collection":[{"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/comments?post=161"}],"version-history":[{"count":35,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/posts\/161\/revisions"}],"predecessor-version":[{"id":1807,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/posts\/161\/revisions\/1807"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/media\/196"}],"wp:attachment":[{"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/media?parent=161"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/categories?post=161"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/develop-chronos.com\/statistics-top\/statistics\/wp-json\/wp\/v2\/tags?post=161"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}