{"id":2827,"date":"2025-12-24T17:22:44","date_gmt":"2025-12-24T08:22:44","guid":{"rendered":"https:\/\/math-travel.com\/?p=2827"},"modified":"2026-02-05T17:45:15","modified_gmt":"2026-02-05T08:45:15","slug":"data-matome","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-1\/data-matome\/","title":{"rendered":"\u3010\u6570\u5b66\u2160\u3011\u30c7\u30fc\u30bf\u306e\u5206\u6790\u91cd\u8981\u516c\u5f0f\u307e\u3068\u3081\u300a\u5b8c\u5168\u653b\u7565\u300b"},"content":{"rendered":"\n
\u6570\u5b66\u2160\u306e\u6700\u5f8c\u306b\u5b66\u7fd2\u3059\u308b\u306e\u304c\u300e\u30c7\u30fc\u30bf\u306e\u5206\u6790\u300f<\/span>\u3067\u3059\u306d\u3002<\/span><\/p>\n\n\n\n \u300c\u30c7\u30fc\u30bf\u306e\u5358\u5143\u304c\u82e6\u624b\u300d<\/p>\n\n\n\n \u300c\u30c7\u30fc\u30bf\u306e\u5206\u6790\u3092\u7dcf\u5fa9\u7fd2\u3057\u305f\u3044\u300d<\/p>\n<\/div><\/div>\n\n\n\n \u4eca\u56de\u306f\u30c7\u30fc\u30bf\u306e\u5206\u6790\u306b\u95a2\u3059\u308b\u3053\u3093\u306a\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002<\/p>\n\n\n \u30c7\u30fc\u30bf\u306e\u5206\u6790\u304c\u82e6\u624b\u306a\u306e\u3067\u56f0\u3063\u3066\u3044\u307e\u3059\u2026<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n \u30c7\u30fc\u30bf\u306e\u5206\u6790\u306e\u91cd\u8981\u516c\u5f0f\u304c\u7dcf\u5fa9\u7fd2\u3067\u304d\u308b\u5b8c\u5168\u653b\u7565\u8a18\u4e8b\u3092\u66f8\u304d\u307e\u3057\u305f\u3002<\/span><\/p>\n\n\n \u6c17\u306b\u306a\u308b\u898b\u51fa\u3057\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u3001 \u5ea6\u6570\u5206\u5e03\u8868\u3068\u306f\u300c\u30c7\u30fc\u30bf\u3092\u968e\u7d1a\u3054\u3068\u306b\u5206\u3051\u3066\u5206\u5e03\u3092\u8868\u3057\u305f\u8868<\/span>\u300d\u3067\u3059\u3002<\/p>\n\n\n\n \u2460\u968e\u7d1a\uff1a\u30c7\u30fc\u30bf\u3092\u5206\u3051\u308b\u533a\u9593\u3092\u8868\u3057\u307e\u3059\u3002\u3053\u306e\u5ea6\u6570\u5206\u5e03\u8868\u3067\u306f20\u70b9\u3054\u3068\u306b\u5206\u3051\u3066\u3044\u308b\u533a\u9593\u304c\u968e\u7d1a\u3067\u3059\u3002<\/p>\n\n\n\n \u2461\u968e\u7d1a\u5024\uff1a\u5404\u968e\u7d1a\u306e\u771f\u3093\u4e2d\u306e\u5024\u3092\u968e\u7d1a\u5024\u3068\u3044\u3044\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u300c20\u70b9\u4ee5\u4e0a40\u70b9\u672a\u6e80\u300d\u306e\u968e\u7d1a\u306e\u968e\u7d1a\u5024\u306f30\u3067\u3059\u3002<\/p>\n\n\n\n \u2462\u5ea6\u6570\uff1a\u305d\u306e\u968e\u7d1a\u306b\u542b\u307e\u308c\u308b\u30c7\u30fc\u30bf\u306e\u500b\u6570\u3092\u8868\u3057\u307e\u3059\u3002 <\/p>\n\n\n\n \u2463\u76f8\u5bfe\u5ea6\u6570\uff1a\u5168\u4f53\u306e\u5ea6\u6570\u306b\u5bfe\u3057\u3066\u3001\u305d\u306e\u968e\u7d1a\u306b\u5c5e\u3059\u308b\u5ea6\u6570\u306e\u5272\u5408 <\/p>\n\n\n\n \u2464\u968e\u7d1a\u306e\u5e45\uff1a\u968e\u7d1a\u306e\u5e83\u3055\u3092\u6307\u3057\u307e\u3059\u3002\u3053\u306e\u5ea6\u6570\u5206\u5e03\u8868\u3067\u306f20\u70b9\u3054\u3068\u306b\u533a\u5207\u3063\u3066\u3044\u308b\u306e\u3067\u968e\u7d1a\u306e\u5e45\u306f20\u3067\u3059\u3002<\/p>\n<\/div><\/div>\n\n\n\n \u30c7\u30fc\u30bf\u3092\u5ea6\u6570\u5206\u5e03\u8868\u306b\u3059\u308b\u3053\u3068\u3067\u30c7\u30fc\u30bf\u5168\u4f53\u306e\u5206\u5e03\u304c\u63b4\u307f\u3084\u3059\u304f\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n\n\n\n \u4f8b\u3048\u3070\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u30c7\u30fc\u30bf\u304c\u3042\u308b\u3068\u304d\u3001\u70b9\u6570\u306e\u5206\u5e03\u306f\u3044\u307e\u3044\u3061\u5206\u304b\u308a\u307e\u305b\u3093\u3002<\/p>\n\n\n\n 82\u300063\u300091\u300046\u300053\u30007\u300037\u300097\u300015\u300044\u300066\u300074\u300059\u300053\u300062\u3000(\u70b9)<\/p>\n<\/div><\/div>\n\n\n\n \u305d\u3053\u3067\u30c6\u30b9\u30c8\u306e\u70b9\u6570\u3092\u4e00\u5b9a\u306e\u5e45\u3067\u5206\u3051\u3066\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u3057\u305f\u3082\u306e\u304c\u5ea6\u6570\u5206\u5e03\u8868<\/span>\u3067\u3059\u3002<\/p>\n\n\n \u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3068\u306f\u300c\u30c7\u30fc\u30bf\u3092\u968e\u7d1a\u3054\u3068\u306b\u8868\u3057\u305f\u68d2\u30b0\u30e9\u30d5<\/span>\u300d<\/span>\u3067\u3059\u3002<\/p>\n\n\n\n \u5ea6\u6570\u5206\u5e03\u8868\u3092\u5143\u306b\u3057\u3066\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3092\u4f5c\u3063\u305f\u306e\u304c\u4e0b\u306e\u56f3\u3067\u3059\u3002<\/p>\n\n\n \u5de6\u306e\u5ea6\u6570\u5206\u5e03\u8868\u3092\u3082\u3068\u306b\u3057\u3066\u3001\u53f3\u306e\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3092\u4f5c\u6210\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n \u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306e\u66f8\u304d\u65b9\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n\n\n\n \u3053\u3053\u306b\u82f1\u8a9e\u306e\u30c6\u30b9\u30c8\u7d50\u679c\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n 82\u300063\u300091\u300046\u300053\u30007\u300037\u300035\u300026\u300044\u300066\u300074\u300059\u300053\u300038\u3000(\u70b9)<\/p>\n<\/div><\/div>\n\n\n\n \u3053\u306e\u307e\u307e\u3067\u306f\u30c7\u30fc\u30bf\u306e\u5206\u5e03\u304c\u5206\u304b\u308a\u3065\u3089\u3044\u306e\u3067\u968e\u7d1a\u3054\u3068\u306b\u5206\u3051\u3001\u5ea6\u6570\u5206\u5e03\u8868\u306b\u307e\u3068\u3081\u307e\u3059\u3002<\/p>\n\n\n\n \u5ea6\u6570\u5206\u5e03\u8868\u3067\u8868\u3057\u305f\u3082\u306e\u304c\u4e0b\u306e\u8868\u3067\u3059\u3002<\/p>\n\n\n \u3053\u308c\u3067\u30c7\u30fc\u30bf\u3092\u6574\u7406\u3067\u304d\u305f\u306e\u3067\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306b\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \u6a2a\u8ef8\u306b\u306f\u968e\u7d1a\u3092\u66f8\u304d\u5165\u308c\u307e\u3057\u3087\u3046\u3002<\/span><\/p>\n\n\n \u305d\u3057\u3066\u7e26\u8ef8\u3092\u5ea6\u6570\uff08\u4eba\u6570\uff09\u306b\u3057\u3066\u3001\u68d2\u30b0\u30e9\u30d5\u3067\u8868\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n \u3053\u308c\u3067\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306e\u5b8c\u6210<\/span>\u3067\u3059\u3002<\/p>\n\n\n\n \u30c7\u30fc\u30bf\u5168\u4f53\u306e\u7279\u5fb4\u3092\u4e00\u3064\u306e\u5024\u3092\u8868\u3059\u3082\u306e\u3092\u30c7\u30fc\u30bf\u306e\u4ee3\u8868\u5024<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \u4eca\u56de\u306f\u4ee3\u8868\u5024\u306e\u306a\u304b\u3067\u3082\u3001\u300c\u5e73\u5747\u5024\u300d,\u300c\u6700\u983b\u5024\u300d,\u300c\u4e2d\u592e\u5024\u300d<\/span>\u306e\uff13\u3064\u3092\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n\n\n\n \u4ee3\u8868\u5024\u306e\u4e2d\u30671\u756a\u8eab\u8fd1\u306a\u306e\u304c\u300e\u5e73\u5747\u5024\u300f<\/span>\u3060\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n\n\n \u5168\u3066\u306e\u30c7\u30fc\u30bf\u5024\u3092\u8db3\u3057\u3066\u3001\u30c7\u30fc\u30bf\u306e\u500b\u6570\u3067\u5272\u308b\u3068\u5e73\u5747\u5024\u304c\u6c42\u3081\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n \u3064\u307e\u308a\u5909\u6570\\(x\\)\u306e\\(n\\)\u500b\u306e\u5024\u3092\\(x_1 ,x_2 ,\\cdots,x_n\\)\u3068\u3059\u308b\u3068\u304d\u3001\u5e73\u5747\u5024\\(\\bar{x}\\)\u306f<\/p>\n\n\n\n \\[\\displaystyle \\bar{x}=\\frac{x_1 +x_2 +x_3 +…+x_n}{n}=\\frac{1}{n}\\sum_{k=0}^n x_k\\]<\/p>\n\n\n\n \u3067\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \u5f0f\u306b\u3059\u308b\u3068\u5c11\u3057\u96e3\u3057\u3044\u3067\u3059\u304c\u3001\u3084\u3063\u3066\u3044\u308b\u3053\u3068\u306f<\/p>\n\n\n\n \u3053\u308c\u3067\u5e73\u5747\u5024\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \u30c7\u30fc\u30bf\u3092\u5927\u304d\u3055\u9806\u306b\u4e26\u3079\u66ff\u3048\u305f\u3068\u304d\u306b\u4e2d\u592e\u306b\u3042\u308b\u5024<\/span>\u3092\u300e\u4e2d\u592e\u5024\u300f<\/span>\u3068\u547c\u3073\u307e\u3059\u3002<\/p>\n\n\n \u30c7\u30fc\u30bf\u304c\u5076\u6570\u500b\u306a\u306e\u304b\u5947\u6570\u500b\u306a\u306e\u304b\u306b\u3088\u3063\u3066\u3001\u4e2d\u592e\u5024\u306e\u6c42\u3081\u65b9\u304c\u5909\u308f\u308b\u306e\u3067\u6ce8\u610f\u3067\u3059\u3002<\/span><\/p>\n\n\n\n \u30c7\u30fc\u30bf\u306e\u500b\u6570\u304c\u5947\u6570\u500b\u306e\u3068\u304d\u306f\u7c21\u5358\u3067\u3059\u3002<\/p>\n\n\n \u306a\u305c\u306a\u3089\u4e0b\u56f3\u306e\u3088\u3046\u306b\u4e2d\u592e\u306e\u5024\u304c1\u3064\u306b\u5b9a\u307e\u308b\u305f\u3081\u3001\u3061\u3087\u3046\u3069\u4e2d\u592e\u306b\u3042\u308b\u5024\u304c\u4e2d\u592e\u5024\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n \u3057\u304b\u3057\u3001\u30c7\u30fc\u30bf\u306e\u500b\u6570\u304c\u5076\u6570\u306e\u5834\u5408\u306e\u4e2d\u592e\u5024\u306f\u3069\u3046\u3067\u3057\u3087\u3046\u3002<\/p>\n\n\n \u4e2d\u592e\u3092\u63a2\u3059\u30682\u3064\u306e\u6570\u5b57\u306e\u3042\u3044\u3060\u306b\u306a\u3063\u3066\u3057\u307e\u3044\u307e\u3057\u305f\u3002<\/p>\n\n\n\n \u3053\u306e\u3088\u3046\u306b\u30c7\u30fc\u30bf\u304c\u5076\u6570\u500b\u306e\u5834\u5408\u306f\u3001\u4e2d\u592e\u306b\u96a3\u63a5\u3059\u308b\uff12\u3064\u306e\u30c7\u30fc\u30bf\u306e\u548c\u30922\u3067\u5272\u3063\u305f\u5024\u304c\u4e2d\u592e\u5024<\/span>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n \u30c7\u30fc\u30bf\u304c\u5947\u6570\u500b\u306e\u3068\u304d\uff1a\u5927\u304d\u3055\u9806\u306b\u4e26\u3073\u66ff\u3048\u3066\u4e2d\u592e\u306b\u304f\u308b\u5024<\/p>\n\n\n\n \u30c7\u30fc\u30bf\u304c\u5076\u6570\u500b\u306e\u3068\u304d\uff1a\u5927\u304d\u3055\u9806\u306b\u4e26\u3073\u66ff\u3048\u3066\u4e2d\u592e\u306b\u96a3\u63a5\u3059\u308b\u30c7\u30fc\u30bf\u306e\u5e73\u5747<\/p>\n<\/div><\/div>\n\n\n\n \u6700\u983b\u5024\u3068\u306f\u300c\u3082\u3063\u3068\u3082\u767b\u5834\u56de\u6570\u304c\u591a\u3044\u5024\u300d<\/span>\u3092\u6307\u3057\u307e\u3059\u3002<\/p>\n\n\n \u4e0a\u56f3\u306e\u5834\u5408\u3001”69″\u304c\u6700\u3082\u591a\u304f\u767b\u5834\u3057\u3066\u3044\u308b\u305f\u3081\u6700\u983b\u5024\u306f69\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n \u5ea6\u6570\u5206\u5e03\u8868\u306e\u6700\u983b\u5024\u306f\u3001\u300c\u5ea6\u6570\u304c<\/span>\u6700\u3082\u9ad8\u3044\u968e\u7d1a\u306e\u968e\u7d1a\u5024\u300d<\/span>\u3067\u3059\u3002<\/p>\n\n\n\n \u5404\u968e\u7d1a\u306e\u771f\u3093\u4e2d\u306e\u5024\u3092\u300c\u968e\u7d1a\u5024\u300d\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \u4f8b\u3048\u3070\u300c20\u70b9\u4ee5\u4e0a40\u70b9\u672a\u6e80\u300d\u306e\u968e\u7d1a\u306e\u968e\u7d1a\u5024\u306f30\u3067\u3059\u3002<\/p>\n<\/div><\/div>\n\n\n\n \u4e0a\u306e\u5ea6\u6570\u5206\u5e03\u8868\u30671\u756a\u5ea6\u6570\u304c\u5927\u304d\u3044\u306e\u306f\u300c40\u70b9\u4ee5\u4e0a60\u70b9\u672a\u6e80\u300d\u306e\u968e\u7d1a\u3067\u3059\u3002<\/p>\n\n\n\n \u300c40\u70b9\u4ee5\u4e0a60\u70b9\u672a\u6e80\u300d\u306e\u968e\u7d1a\u5024\u306f50\u70b9\u306a\u306e\u3067\u3001\u6700\u983b\u5024\u306f50\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n \u30c7\u30fc\u30bf\u306e\u6563\u3089\u3070\u308a\u306e\u69d8\u5b50\u3092\u5206\u5e03<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \u30c7\u30fc\u30bf\u306e\u5206\u5e03\u304c\u7570\u306a\u3063\u3066\u3044\u3066\u3082\u3001\u5e73\u5747\u5024\u3084\u6700\u983b\u5024\u306a\u3069\u304c\u540c\u3058\u306b\u306a\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n \u30c7\u30fc\u30bf\u306e\u7bc4\u56f2\u306f\u300c\u6700\u5927\u5024\u3068\u6700\u5c0f\u5024\u306e\u5dee\u300d<\/span>\u3067\u6c42\u3081\u3089\u308c\u307e\u3059\u3002<\/p>\n\n\n\n \u4ee5\u4e0b\u306e\u30c7\u30fc\u30bf\u306b\u304a\u3044\u3066\u30c7\u30fc\u30bf\u306e\u7bc4\u56f2\u306f\u300c25\u300d\u3067\u3059<\/p>\n\n\n \u30c7\u30fc\u30bf\u306e\u6700\u5927\u5024\u304b\u3089\u6700\u5c0f\u5024\u306e\u5dee\u3092\u6c42\u3081\u305f\u3082\u306e\u304c\u7bc4\u56f2\u3067\u3059\u3002<\/p>\n\n\n\n \u30c7\u30fc\u30bf\u3092\u5927\u304d\u3055\u9806\u306b\u4e26\u3079\u305f\u3068\u304d\u306b\u30014\u7b49\u5206\u3059\u308b\u4f4d\u7f6e\u306e\u5024\u3092\u56db\u5206\u4f4d\u6570<\/span>\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n \u56db\u5206\u4f4d\u6570\u306e\u6c42\u3081\u65b9\u3092\u78ba\u8a8d\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n \u4eca\u56de\u306f\u30c7\u30fc\u30bf\u304c\u5076\u6570\u500b\u306e\u5834\u5408\u3092\u4f8b\u306b\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n\n\n\n \u30c7\u30fc\u30bf\u304c\u5076\u6570\u500b\u306e\u5834\u5408\u306f\u4e2d\u592e\u306e2\u6570\u306e\u548c\u30922\u3067\u5272\u308a\u307e\u3059\u3002<\/span><\/p>\n\n\n \u56db\u5206\u4f4d\u6570\u306f\u30c7\u30fc\u30bf\u306e\u500b\u6570\u306e\u5076\u5947\u306b\u3088\u3063\u3066\u3001\u6c42\u3081\u65b9\u304c\u5c11\u3057\u5909\u308f\u308a\u307e\u3059\u3002<\/p>\n\n\n\n \u56db\u5206\u4f4d\u6570\u306b\u304a\u3051\u308b\u300c\u7b2c2\u56db\u5206\u4f4d\u6570\u3068\u7b2c3\u56db\u5206\u4f4d\u6570\u306e\u5dee<\/span>\u300d\u304c\u56db\u5206\u4f4d\u7bc4\u56f2<\/span>\u3067\u3059\u3002<\/p>\n\n\n \u307e\u305f\u3001\u56db\u5206\u4f4d\u7bc4\u56f2\u306e\u534a\u5206\u3092\u56db\u5206\u4f4d\u504f\u5dee<\/span><\/span>\u3068\u547c\u3073\u307e\u3059\u3002<\/p>\n\n\n \u30c7\u30fc\u30bf\u306e\u5206\u6790\u3067\u610f\u5916\u3068\u7406\u89e3\u3055\u308c\u3066\u3044\u306a\u3044\u306e\u304c\u7bb1\u3072\u3052\u56f3\u3067\u3059\u3002<\/p>\n\n\n\n \u7bb1\u3072\u3052\u56f3\u306f\u300c\u6700\u5c0f\u5024\u300d\u300c\u6700\u5927\u5024\u300d\u300c\u56db\u5206\u4f4d\u6570\u300d\u300c\u5e73\u5747\u5024\u300d<\/span>\u304c\u5206\u304b\u308b\u512a\u308c\u3082\u306e\u3067\u3059\u3002<\/p>\n\n\n\n \u7bb1\u3072\u3052\u56f3\u306e\u5404\u7dda\u306e\u898b\u65b9\u3092\u899a\u3048\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n \u2460\u306e\u7dda\u2026\u6700\u5c0f\u5024<\/p>\n\n\n\n \u2461\u306e\u7dda\u2026\u7b2c1\u56db\u5206\u4f4d\u6570<\/p>\n\n\n\n \u2462\u306e\u7dda\u2026\u4e2d\u592e\u5024<\/p>\n\n\n\n \u2463\u306e\u7dda\u2026\u7b2c3\u56db\u5206\u4f4d\u6570<\/p>\n\n\n\n \u2464\u306e\u7dda\u2026\u6700\u5927\u5024<\/p>\n<\/div><\/div>\n\n\n\n \u7bb1\u3072\u3052\u56f3\u306e\u66f8\u304d\u65b9\u306f\u4ee5\u4e0b\u306e\u624b\u9806\u3067\u3059<\/p>\n\n\n\n \u7bb1\u3072\u3052\u56f3\u306b\u3064\u3044\u3066\u306f\u5225\u306e\u8a18\u4e8b\u3067\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/p>\n\n\n\n \u56db\u5206\u4f4d\u6570\u304b\u3089\u30c7\u30fc\u30bf\u306e\u5206\u6563\u306e\u69d8\u5b50\u3092\u8aad\u307f\u53d6\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n\n \u6b21\u306f\u30c7\u30fc\u30bf\u306e\u5024\u3092\u7528\u3044\u3066\u6563\u3089\u3070\u308a\u306e\u5ea6\u5408\u3044\u3092\u8868\u3059\u5206\u6563\u306b\u3064\u3044\u3066\u89e3\u8aac\u3092\u3057\u307e\u3059\u3002<\/p>\n\n\n\n \u5206\u6563\u306f\u3001\u30c7\u30fc\u30bf\u306e\u6563\u3089\u3070\u308a\u306e\u5927\u304d\u3055\u3092\u8868\u3059\u6307\u6a19<\/span>\u3067\u3059\u3002<\/p>\n\n\n \u5206\u6563\u306e\u5927\u5c0f\u306b\u3088\u3063\u3066\u30c7\u30fc\u30bf\u5168\u4f53\u306e\u5206\u5e03\u3092\u30a4\u30e1\u30fc\u30b8\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \u5206\u6563\u304c\u5927\u304d\u3044\u21d2\u5e73\u5747\u5024\u304b\u3089\u96e2\u308c\u3066\u3044\u308b\u5024\u304c\u591a\u3044 \u5206\u6563\u306f\u4ee5\u4e0b\u306e\u516c\u5f0f\u3067\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \u5909\u6570\\(x\\)\u306e\u5024\u304c\\(x_1,x_2,…,x_n\\)\u3067\u3001\u5e73\u5747\u304c\\(\\bar{x}\\)\u306e\u3068\u304d \\begin{eqnarray} \u3082\u3057\u304f\u306f<\/p>\n\n\n\n \\[\\displaystyle s^{2}=\\frac{1}{n}\\sum_{i=1}^n x_i^{2} -\\bar{x}^{2}\\]<\/p>\n<\/div><\/div>\n\n\n\n \u5206\u6563\u304c\u6c42\u3081\u3089\u308c\u308b\u3068\u6a19\u6e96\u504f\u5dee\u3084\u76f8\u95a2\u4fc2\u6570\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \u6a19\u6e96\u504f\u5dee\u3084\u76f8\u95a2\u4fc2\u6570\u3082\u30c6\u30b9\u30c8\u3067\u51fa\u984c\u3055\u308c\u308b\u306e\u3067\u78ba\u8a8d\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n \u96e3\u3057\u3044\u3068\u601d\u308f\u308c\u3066\u3044\u308b\u6a19\u6e96\u504f\u5dee\\(s\\)\u3067\u3059\u304c\u3001\u5206\u6563\\(s^{2}\\)\u304c\u5206\u304b\u308c\u3070\u7c21\u5358\u3067\u3059\u3002<\/p>\n\n\n\n \u307e\u305a\u306f\u30c7\u30fc\u30bf\u306e\u5024\u304b\u3089\u5206\u6563\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n \u5909\u6570\\(x\\)\u306e\u5024\u304c\\(x_1,x_2,…,x_n\\)\u3067\u3001\u5e73\u5747\u304c\\(\\bar{x}\\)\u306e\u3068\u304d \\begin{eqnarray} \u3082\u3057\u304f\u306f<\/p>\n\n\n\n \\[\\displaystyle s^{2}=\\frac{1}{n}\\sum_{i=1}^n x_i^{2} -\\bar{x}^{2}\\]<\/p>\n<\/div><\/div>\n\n\n\n \u305d\u3046\u3057\u3066\u6c42\u3081\u305f\u5206\u6563\u306e\u6b63\u306e\u5e73\u65b9\u6839\u304c\u6a19\u6e96\u504f\u5dee\u3067\u3059\u3002<\/p>\n\n\n\n \\[s=\\sqrt{s^{2}}\\]<\/p>\n\n\n \u6a19\u6e96\u504f\u5dee\u306f\u5206\u6563\u304c\u5206\u304b\u308c\u3070\u4f59\u88d5\u3067\u3059\u306d\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n \u9006\u306b\u5206\u6563\u304c\u5206\u304b\u3089\u306a\u3044\u3068\u4f55\u3082\u3067\u304d\u306a\u3044\u306e\u3067\u3001\u307e\u305a\u306f\u5206\u6563\u3092\u78ba\u5b9f\u306b\u899a\u3048\u307e\u3057\u3087\u3046\uff01<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n \u30c7\u30fc\u30bf\u306b\u306f2\u3064\u306e\u6570\u306b\u76f8\u95a2\u95a2\u4fc2\u304c\u3042\u308b\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n \u76f8\u95a2\u95a2\u4fc2\u304c\u3042\u308b\u3068\u306f\u3001<\/p>\n\n\n\n \u4e00\u65b9\u304c\u5897\u52a0\u3059\u308b\u3068\u304d\u3082\u3046\u4e00\u65b9\u3082\u5897\u52a0\u50be\u5411\u304c\u3042\u308b\u3002<\/p>\n\n\n\n \u3082\u3057\u304f\u306f\u3001\u4e00\u65b9\u304c\u5897\u52a0\u3059\u3068\u304d\u4ed6\u65b9\u306f\u6e1b\u5c11\u50be\u5411\u306b\u3042\u308b\u3002<\/p>\n<\/div><\/div>\n\n\n\n \u3053\u306e\u3088\u3046\u306b2\u3064\u306e\u30c7\u30fc\u30bf\u304c\u9023\u52d5\u3057\u3066\u52d5\u304f\u50be\u5411\u304c\u3042\u308b\u3053\u3068\u3092\u76f8\u95a2\u95a2\u4fc2\u304c\u3042\u308b\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \u5171\u5206\u6563\u3068\u306f\u3001\u300c2\u7d44\u306e\u5bfe\u5fdc\u3059\u308b\u30c7\u30fc\u30bf\u9593\u306e\u95a2\u4fc2\u3092\u8868\u3059\u6570\u5024\u300d<\/span>\u3067\u3059\u3002<\/p>\n\n\n\n x\u3068y\u306e\u5171\u5206\u6563\\(s_{xy}\\)\u306f\u6b21\u306e\u516c\u5f0f\u3067\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n \\(x\\)\u3068\\(y\\)\u306e\u5171\u5206\u6563\\(s_{xy}\\)\u306f\u6b21\u306e\u516c\u5f0f\u3067\u6c42\u3081\u308b<\/p>\n\n\n\n \\[\\displaystyle s_{xy}=\\frac{1}{n} \\sum_{i=0}^n (x_i -\\overline{x})(y_i -\\overline{y})\\]<\/p>\n\n\n\n n\u306f\u30c7\u30fc\u30bf\u306e\u7dcf\u6570 \\(x\\)\u3068\\(y\\)\u306e\u5171\u5206\u6563\\(s_{xy}\\)\u306f\u6b21\u306e\u516c\u5f0f\u3067\u6c42\u3081\u308b<\/p>\n\n\n\n \\[\\displaystyle s_{xy}=\\frac{1}{n} \\sum_{i=0}^n x_i y_i – \\overline{x} \\overline{y}\\]<\/p>\n\n\n\n \u3059\u306a\u308f\u3061<\/p>\n\n\n\n \\[\\displaystyle s_{xy}=\\overline{xy}- \\overline{x} \\overline{y}\\]<\/p>\n\n\n\n n\u306f\u30c7\u30fc\u30bf\u306e\u7dcf\u6570 \u516c\u5f0f\u306f\u5c11\u3057\u96e3\u3057\u3044\u3067\u3059\u304c\u3001\u5171\u5206\u6563\u3092\u6c42\u3081\u308b\u306b\u306f\u5927\u304d\u304f3\u3064\u306e\u30b9\u30c6\u30c3\u30d7\u3067\u3059\u3002<\/p>\n\n\n\n \u76f8\u95a2\u4fc2\u6570\u3068\u306f\u3001\u300c2\u3064\u306e\u30c7\u30fc\u30bf\u9593\u306b\u3042\u308b\u95a2\u4fc2\u306e\u5f37\u3055\u3092\u8868\u3059\u6307\u6a19\u300d<\/span>\u3067\u3059\u3002<\/p>\n\n\n \u2460\u306e\u30b0\u30e9\u30d5\u3088\u3046\u306bx\u8ef8\u306e\u5024\u304c\u5927\u304d\u304f\u306a\u308b\u306b\u3064\u308c\u3066\u3001y\u8ef8\u306e\u5024\u3082\u5927\u304d\u304f\u306a\u3063\u3066\u3044\u304f\u95a2\u4fc2\u3092\u6b63\u306e\u76f8\u95a2\u304c\u3042\u308b\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n \u9006\u306b\u2461\u306e\u30b0\u30e9\u30d5\u306b\u306f\u53f3\u306b\u884c\u304f\u306b\u3064\u308c\u4e0b\u304c\u3063\u3066\u3044\u308b\u306e\u3067\u3001\u8ca0\u306e\u76f8\u95a2\u304c\u3042\u308b\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n \u2462\u306e\u30b0\u30e9\u30d5\u306e\u3088\u3046\u306b\uff12\u3064\u306e\u30c7\u30fc\u30bf\u9593\u306b\u95a2\u4fc2\u304c\u306a\u3044\u3068\u601d\u308f\u308c\u308b\u3082\u306e\u3092\u76f8\u95a2\u304c\u306a\u3044\u307e\u305f\u306f\u76f8\u95a2\u95a2\u4fc2\u304c\u306a\u3044\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n \u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n \\(x,y\\)\u305d\u308c\u305e\u308c\u306e\u6a19\u6e96\u504f\u5dee\u3092\\(s_{x},s_{y}\\)\u3068\u3057\u3066\u3001\u5171\u5206\u6563\u3092\\(s_{xy}\\)\u3068\u3059\u308b\u3002<\/p>\n\n\n\n \\[\\displaystyle r=\\frac{s_{xy}}{s_{x} s_{y}}\\]<\/p>\n<\/div><\/div>\n\n\n\n \u76f8\u95a2\u4fc2\u6570\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u9014\u4e2d\u3067\u300c\u5171\u5206\u6563<\/span>\u300d\u300c\u5206\u6563<\/span>\u300d\u300c\u6a19\u6e96\u504f\u5dee<\/span>\u300d\u3092\u6c42\u3081\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n \u305d\u308c\u3089\u304c\u307e\u3060\u7406\u89e3\u3067\u304d\u3066\u3044\u306a\u3044\u65b9\u306f\u3001\u3055\u304d\u306b\u305d\u3061\u3089\u3092\u89e3\u6c7a\u3055\u305b\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n \u4f8b\u3068\u3057\u3066\u76f8\u95a2\u4fc2\u6570\u3092\u6c42\u3081\u308b\u624b\u9806\u30921\u3064\u793a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n 5\u4eba\u304c\u6570\u5b66\u3068\u82f1\u8a9e\u306e\u30c6\u30b9\u30c8\u3092\u53d7\u3051\u305f\u3068\u3057\u307e\u3059\u3002 \u305d\u308c\u305e\u308c\u306e\u70b9\u6570\u304c\u3001 \u3053\u306e\u3068\u304d\u3001\u6570\u5b66\u3068\u82f1\u8a9e\u306e\u30c6\u30b9\u30c8\u7d50\u679c\u306e\u3042\u3044\u3060\u306b\u3042\u308b\u76f8\u95a2\u4fc2\u6570\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n<\/div><\/div>\n\n\n\n 1.\u5e73\u5747\u5024\u3092\u6c42\u3081\u308b<\/span><\/p>\n\n\n
\u9ad8\u6821\u751f<\/span><\/div>
\u30b7\u30fc\u30bf<\/span><\/div>
\u305c\u3072\u6700\u5f8c\u307e\u3067\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n<\/span><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n\u5ea6\u6570\u5206\u5e03\u8868<\/h2>\n\n\n
<\/figure>\n<\/div>\n\n\n
<\/figure>\n<\/div>\n\n\n\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0<\/h2>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306e\u66f8\u304d\u65b9<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n
<\/figure>\n<\/div>\n\n\n
<\/figure>\n<\/div>\n\n\n\u30c7\u30fc\u30bf\u306e\u4ee3\u8868\u5024<\/h2>\n\n\n\n
\n
\u5e73\u5747\u5024<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\n
\u4e2d\u592e\u5024<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\u4e2d\u592e\u5024\u306e\u6c42\u3081\u65b9<\/h4>\n\n\n\n
<\/figure>\n<\/div>\n\n\n
<\/figure>\n<\/div>\n\n\n
<\/figure>\n<\/div>\n\n\n\u6700\u983b\u5024<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\u5ea6\u6570\u5206\u5e03\u8868\u306e\u6700\u983b\u5024<\/h4>\n\n\n
<\/figure>\n<\/div>\n\n\n\u30c7\u30fc\u30bf\u306e\u56db\u5206\u4f4d\u6570<\/h2>\n\n\n\n
\u30c7\u30fc\u30bf\u306e\u7bc4\u56f2<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\u56db\u5206\u4f4d\u6570<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n\u56db\u5206\u4f4d\u6570\u306e\u6c42\u3081\u65b9<\/h4>\n\n\n\n
\n
<\/figure>\n<\/div>\n\n\n\u56db\u5206\u4f4d\u7bc4\u56f2\u30fb\u56db\u5206\u4f4d\u504f\u5dee<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n
<\/figure>\n<\/div>\n\n\n\u7bb1\u3072\u3052\u56f3<\/h3>\n\n\n
<\/figure>\n<\/div>\n\n\n
<\/figure>\n<\/div>\n\n\n\u7bb1\u3072\u3052\u56f3\u306e\u66f8\u304d\u65b9<\/h4>\n\n\n\n
\n
\u30c7\u30fc\u30bf\u306e\u5206\u6563<\/h2>\n\n\n\n
\u5206\u6563<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n
\u5206\u6563\u304c\u5c0f\u3055\u3044\u21d2\u5e73\u5747\u5024\u306b\u8fd1\u3044\u5024\u304c\u591a\u3044<\/p>\n<\/div><\/div>\n\n\n\n\u5206\u6563\u306e\u6c42\u3081\u65b9<\/h4>\n\n\n\n
\u5206\u6563\\(s^{2}\\)\u306f\u3001<\/p>\n\n\n\n
s^{2}&=&\\displaystyle \\frac{1}{n}\\{(x_{1}-\\bar{x})^{2}+(x_{2}-\\bar{x})^{2}+…+(x_{n}-\\bar{x})^{2}\\}[[
&=&\\displaystyle \\frac{1}{n}\\sum_{i=1}^n (x_i-\\bar{x})^{2}
\\end{eqnarray}<\/p>\n\n\n\n\u6a19\u6e96\u504f\u5dee<\/h3>\n\n\n
<\/figure>\n<\/div>\n\n\n
\u5206\u6563\\(s^{2}\\)\u306f\u3001<\/p>\n\n\n\n
s^{2}&=&\\displaystyle \\frac{1}{n}\\{(x_{1}-\\bar{x})^{2}+(x_{2}-\\bar{x})^{2}+…+(x_{n}-\\bar{x})^{2}\\}[[
&=&\\displaystyle \\frac{1}{n}\\sum_{i=1}^n (x_i-\\bar{x})^{2}
\\end{eqnarray}<\/p>\n\n\n\n
\u9ad8\u6821\u751f<\/span><\/div>
\u30b7\u30fc\u30bf<\/span><\/div>\u30c7\u30fc\u30bf\u306e\u76f8\u95a2\u4fc2\u6570<\/h2>\n\n\n\n
\u5171\u5206\u6563<\/h3>\n\n\n\n
\\(x_i\\)\u3068\\(y_i\\)\u306f\u500b\u3005\u306e\u6570\u5024
\\(\\overline{x}\\)\u3068\\(\\overline{y}\\)\u306f\u305d\u308c\u305e\u308c\u306e\u5e73\u5747\u5024<\/p>\n<\/div><\/div>\n\n\n\n
\\(x_i\\)\u3068\\(y_i\\)\u306f\u500b\u3005\u306e\u6570\u5024
\\(\\overline{x}\\)\u3068\\(\\overline{y}\\)\u306f\u305d\u308c\u305e\u308c\u306e\u5e73\u5747\u5024<\/p>\n<\/div><\/div>\n\n\n\n\n
<\/figure>\n<\/div>\n\n\n\u76f8\u95a2\u4fc2\u6570<\/h3>\n\n\n\n
<\/figure>\n<\/div>\n\n\n
<\/figure>\n<\/div>\n\n\n
<\/figure>\n<\/div>\n\n\n\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9<\/h4>\n\n\n\n
\n
x:\u6570\u5b66\u306e\u70b9\u6570\u3000\u3000y:\u82f1\u8a9e\u306e\u70b9\u6570<\/p>\n\n\n\n
(x,y)=(40,50)(50,60)(60,80)(70,60)(80,100)<\/p>\n\n\n\n