{"id":88,"date":"2023-08-05T14:09:49","date_gmt":"2023-08-05T14:09:49","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e7%b5%b1%e8%a8%88%e3%83%a2%e3%83%bc%e3%83%88%e3%82%99\/"},"modified":"2023-08-05T14:09:49","modified_gmt":"2023-08-05T14:09:49","slug":"%e7%b5%b1%e8%a8%88%e3%83%a2%e3%83%bc%e3%83%88%e3%82%99","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e7%b5%b1%e8%a8%88%e3%83%a2%e3%83%bc%e3%83%88%e3%82%99\/","title":{"rendered":"\u30d5\u30a1\u30c3\u30b7\u30e7\u30f3\uff08\u7d71\u8a08\uff09"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u7d71\u8a08\u306b\u304a\u3051\u308b\u30e2\u30fc\u30c9\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u3068\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u3066\u3044\u306a\u3044\u30c7\u30fc\u30bf\u306e\u7d71\u8a08\u30e2\u30fc\u30c9\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5\u3001\u3055\u307e\u3056\u307e\u306a\u30bf\u30a4\u30d7\u306e\u30e2\u30fc\u30c9\u3001\u304a\u3088\u3073\u3053\u306e\u7d71\u8a08\u7684\u5c3a\u5ea6\u306e\u3044\u304f\u3064\u304b\u306e\u4f8b\u3092\u5b66\u7fd2\u3057\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-moda-en-estadistica\"><\/span>\u7d71\u8a08\u306b\u304a\u3051\u308b\u6700\u983b\u5024\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u7d71\u8a08\u306b\u304a\u3044\u3066\u3001\u6700\u983b\u5024\u306f\u30c7\u30fc\u30bf \u30bb\u30c3\u30c8\u5185\u3067\u6700\u3082\u9ad8\u3044\u7d76\u5bfe\u983b\u5ea6\u3092\u6301\u3064\u5024\u3001\u3064\u307e\u308a\u3001\u6700\u983b\u5024\u306f\u30c7\u30fc\u30bf \u30bb\u30c3\u30c8\u5185\u3067\u6700\u3082\u7e70\u308a\u8fd4\u3055\u308c\u308b\u5024\u3067\u3059\u3002<\/strong><\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u7d71\u8a08\u30c7\u30fc\u30bf \u30bb\u30c3\u30c8\u306e\u6700\u983b\u5024\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u30b5\u30f3\u30d7\u30eb\u5185\u3067\u5404\u30c7\u30fc\u30bf\u8981\u7d20\u304c\u51fa\u73fe\u3059\u308b\u56de\u6570\u3092\u6570\u3048\u308b\u3060\u3051\u3067\u3001\u6700\u3082\u591a\u304f\u7e70\u308a\u8fd4\u3055\u308c\u305f\u30c7\u30fc\u30bf\u304c\u6700\u983b\u5024\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u901a\u5e38\u3001\u6700\u3082\u7e70\u308a\u8fd4\u3055\u308c\u308b\u5024\u304c\u5206\u5e03\u306e\u4e2d\u5fc3\u306b\u3042\u308b\u305f\u3081\u3001\u30e2\u30fc\u30c9\u306f\u7d71\u8a08\u5206\u5e03\u3092\u5b9a\u7fa9\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u30e2\u30fc\u30c9\u306f\u3001<strong>\u7d71\u8a08\u30e2\u30fc\u30c9<\/strong>\u307e\u305f\u306f<strong>\u6700\u983b\u5024<\/strong>\u3068\u3082\u8a00\u3048\u307e\u3059\u3002\u540c\u69d8\u306b\u3001\u30c7\u30fc\u30bf\u304c\u9593\u9694\u306b\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u308b\u5834\u5408\u3001\u6700\u3082\u7e70\u308a\u8fd4\u3055\u308c\u308b\u9593\u9694\u304c<strong>\u30e2\u30fc\u30c0\u30eb\u9593\u9694<\/strong>\u307e\u305f\u306f<strong>\u30e2\u30fc\u30c0\u30eb \u30af\u30e9\u30b9<\/strong>\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u4e00\u822c\u306b\u3001 <em>Mo<\/em>\u3068\u3044\u3046\u7528\u8a9e\u306f\u7d71\u8a08\u30e2\u30fc\u30c9\u306e\u8a18\u53f7\u3068\u3057\u3066\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001\u5206\u5e03\u30e2\u30fc\u30c9 X \u306f Mo(X) \u3067\u3059\u3002<\/p>\n<p>\u6700\u983b\u5024\u306f\u4e2d\u5fc3\u4f4d\u7f6e\u3001\u4e2d\u592e\u5024\u3001\u5e73\u5747\u5024\u306e\u7d71\u8a08\u7684\u5c3a\u5ea6\u3067\u3042\u308b\u3053\u3068\u306b\u7559\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u4ee5\u4e0b\u3067\u306f\u3001\u3053\u308c\u3089\u306e\u7d71\u8a08\u7684\u5c3a\u5ea6\u304c\u305d\u308c\u305e\u308c\u4f55\u3092\u610f\u5473\u3059\u308b\u306e\u304b\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-moda-en-estadistica\"><\/span>\u7d71\u8a08\u306b\u304a\u3051\u308b\u30e2\u30fc\u30c9\u306e\u7a2e\u985e<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7d71\u8a08\u3067\u306f\u3001\u6700\u3082\u7e70\u308a\u8fd4\u3055\u308c\u308b\u5024\u306e\u6570\u306b\u5fdc\u3058\u3066\u5206\u985e\u3055\u308c\u308b\u3044\u304f\u3064\u304b\u306e\u30bf\u30a4\u30d7\u306e\u30e2\u30fc\u30c9\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u30e6\u30cb\u30e2\u30fc\u30c0\u30eb \u30e2\u30fc\u30c9<\/strong>: \u6700\u5927\u7e70\u308a\u8fd4\u3057\u56de\u6570\u3092\u6301\u3064\u5024\u306f 1 \u3064\u3060\u3051\u3067\u3059\u3002\u305f\u3068\u3048\u3070\u3001[1\u30014\u30012\u30014\u30015\u30013]\u3002<\/span><\/li>\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\"><strong>\u30d0\u30a4\u30e2\u30fc\u30c0\u30eb \u30e2\u30fc\u30c9<\/strong>: \u6700\u5927\u7e70\u308a\u8fd4\u3057\u56de\u6570\u306f 2 \u3064\u306e\u7570\u306a\u308b\u5024\u3067\u767a\u751f\u3057\u3001\u4e21\u65b9\u306e\u5024\u304c\u540c\u3058\u56de\u6570\u7e70\u308a\u8fd4\u3055\u308c\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001[2\u30016\u30017\u30012\u30013\u30016\u30019]\u3002<\/span><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\"><strong>\u30de\u30eb\u30c1\u30e2\u30fc\u30c0\u30eb \u30e2\u30fc\u30c9<\/strong>: 3 \u3064\u4ee5\u4e0a\u306e\u5024\u304c\u540c\u3058\u6700\u5927\u7e70\u308a\u8fd4\u3057\u56de\u6570\u3092\u6301\u3061\u307e\u3059\u3002\u305f\u3068\u3048\u3070\u3001[3\u30013\u30014\u30011\u30013\u30014\u30012\u30011\u30014\u30015\u30012\u30011]\u3002<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-hallar-la-moda-estadistica\"><\/span>\u7d71\u8a08\u30e2\u30fc\u30c9\u306e\u898b\u3064\u3051\u65b9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u7d71\u8a08\u30e2\u30fc\u30c9\u3092\u898b\u3064\u3051\u308b\u306b\u306f\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:15px\"><span style=\"color:#101010;font-weight: normal;\">\u30c7\u30fc\u30bf\u3092\u6574\u7406\u3057\u307e\u3059\u3002\u3053\u306e\u624b\u9806\u306f\u5fc5\u9808\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001\u6570\u3092\u6570\u3048\u308b\u306e\u304c\u7c21\u5358\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\u5404\u6570\u5b57\u304c\u4f55\u56de\u51fa\u73fe\u3059\u308b\u304b\u3092\u6570\u3048\u307e\u3059\u3002<\/span><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\u6700\u3082\u983b\u7e41\u306b\u8868\u793a\u3055\u308c\u308b\u6570\u5b57\u306f\u7d71\u8a08\u30e2\u30fc\u30c9\u3067\u3059\u3002<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-moda-estadistica\"><\/span>\u7d71\u8a08\u30e2\u30fc\u30c9\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7d71\u8a08\u306b\u304a\u3051\u308b\u30d5\u30a1\u30c3\u30b7\u30e7\u30f3\u306e\u5b9a\u7fa9\u3092\u8003\u616e\u3057\u3066\u3001\u6982\u5ff5\u3092\u3088\u308a\u3088\u304f\u7406\u89e3\u3067\u304d\u308b\u3088\u3046\u306b\u3001\u4ee5\u4e0b\u306b\u5404\u30bf\u30a4\u30d7\u306e\u30d5\u30a1\u30c3\u30b7\u30e7\u30f3\u306e\u4f8b\u3092\u793a\u3057\u307e\u3059\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-moda-unimodal\"><\/span> \u30e6\u30cb\u30e2\u30fc\u30c0\u30eb\u30e2\u30fc\u30c9\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u6b21\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u30e2\u30fc\u30c9\u306f\u4f55\u3067\u3059\u304b?<\/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-b9d143a47d4179a48adbf316073f1c04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5 \\ 4 \\ 9 \\ 7 \\ 2 \\ 3 \\ 9 \\ 6 \\ 5 \\ 2 \\ 5 \" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"156\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u756a\u53f7\u306f\u9806\u5e8f\u4ed8\u3051\u3055\u308c\u3066\u3044\u306a\u3044\u305f\u3081\u3001\u30e2\u30fc\u30c9\u3092\u898b\u3064\u3051\u3084\u3059\u304f\u3059\u308b\u305f\u3081\u306b\u6700\u521d\u306b\u756a\u53f7\u3092\u4ed8\u3051\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-80806fdd8f9c1cdbb41dddfec720050d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2 \\ 2 \\ 3 \\ 4 \\ 5 \\ 5 \\ 5 \\ 6 \\ 7 \\ 9 \\ 9 \" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"157\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> 2 \u3068 9 \u3068\u3044\u3046\u6570\u5b57\u306f 2 \u56de\u73fe\u308c\u307e\u3059\u304c\u30015 \u3068\u3044\u3046\u6570\u5b57\u306f 3 \u56de\u7e70\u308a\u8fd4\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30c7\u30fc\u30bf\u7cfb\u5217\u306e\u6700\u983b\u5024\u306f 5 \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-4ebf577b66fe6e1a378033eefda49935_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Mo=5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"59\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-moda-bimodal\"><\/span>\u30d0\u30a4\u30e2\u30fc\u30c0\u30eb\u30e2\u30fc\u30c9\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u6b21\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u30e2\u30fc\u30c9\u3092\u8a08\u7b97\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-485164c7306450861a4a6dff63fdd51a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" 8 \\ 7 \\ 0 \\ 6 \\ 10 \\ 9 \\ 13 \\ 8 \\ 0 \\ 6 \\ 2 \\ 6 \\ 5 \\ 11 \\ 10 \" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"251\" style=\"vertical-align: 0px;\"><\/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-3f6d1316ef76eb6d8b750d2148a92c55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0 \\ 9 \\ 8 \\ 6 \\ 12 \\ 3 \\ 5 \\ 11 \\ 1 \\ 4 \\ 8 \\ 10 \\ 2 \\ 5 \\ 7 \" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"242\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u307e\u305a\u6570\u5b57\u3092\u9806\u756a\u306b\u4e26\u3079\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-ea48ae7b0aed2c14dfafc4168374ec43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0 \\ 0 \\ 0 \\ 1 \\ 2 \\ 2 \\ 3 \\ 4 \\ 5 \\ 5 \\ 5 \\ 6 \\ 6 \\ 6 \\ 6  \" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"216\" style=\"vertical-align: 0px;\"><\/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-cefde6dd3710f5fdfd20909ca294dcdd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"7 \\ 7 \\ 8 \\ 8 \\ 8 \\ 8 \\ 9 \\ 9 \\ 10 \\ 10 \\ 10 \\ 11 \\ 11 \\ 12 \\ 13 \" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"278\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3054\u89a7\u306e\u3068\u304a\u308a\u3001\u6570\u5b57\u306e 6 \u3068\u6570\u5b57 8 \u306f\u5408\u8a08 4 \u56de\u8868\u793a\u3055\u308c\u3001\u3053\u308c\u304c\u6700\u5927\u306e\u7e70\u308a\u8fd4\u3057\u56de\u6570\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u5834\u5408\u306f\u4e8c\u5cf0\u6027\u30e2\u30fc\u30c9\u3067\u3042\u308a\u30012 \u3064\u306e\u6570\u5024\u304c\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u30e2\u30fc\u30c9\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-f042b45fbf79e5e83e4e8079b57817a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Mo=\\{ 6 \\ ; \\ 8\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"106\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-moda-multimodal\"><\/span>\u30de\u30eb\u30c1\u30e2\u30fc\u30c0\u30eb\u30e2\u30fc\u30c9\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u6b21\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8 \u30e2\u30fc\u30c9\u3092\u898b\u3064\u3051\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-39b4a3e24988e9494d0c81e5cbfdb26f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" 21 \\ 27 \\ 32 \\ 15 \\ 13 \\ 20 \\ 21 \\ 21 \\ 25 \\ 27 \\ 31 \\ 30 \\ 19 \\ 20 \\ 16 \" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"349\" style=\"vertical-align: 0px;\"><\/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-ca099ebb628f66767b39ba91efcb9f55_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" 22 \\ 19 \\ 20 \\ 31 \\ 18 \\ 20 \\ 25 \\ 26 \\ 15 \\ 20 \\ 31 \\ 31 \\ 27 \\ 16 \\ 17 \" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"349\" style=\"vertical-align: 0px;\"><\/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-6cc7eb9260067717015ff1a4afcd4b6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"31 \\ 27 \\ 24 \\ 23 \\ 21 \\ 27 \\ 29 \\ 36 \\ 32 \\ 30 \\ 16 \\ 22 \\ 15 \\ 14 \\ 37 \" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"349\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u30c7\u30fc\u30bf\u304c\u591a\u3044\u305f\u3081\u3001\u30ab\u30a6\u30f3\u30c8\u3057\u3084\u3059\u304f\u3059\u308b\u305f\u3081\u306b\u3001\u307e\u305a\u6607\u9806\u306b\u4e26\u3079\u66ff\u3048\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-1d166553bd83d0dd7b9eaac94541b3b9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" 13 \\ 14 \\ 15\\ 15\\ 15 \\ 16 \\ 16 \\ 16 \\ 17 \\ 18 \\ 19 \\ 19 \\ 20 \\ 20 \\ 20  \" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"348\" style=\"vertical-align: 0px;\"><\/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-9348330c6ce2735dceb27aeabdb214a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"20 \\ 20 \\ 21 \\ 21 \\ 21\\ 21 \\ 22 \\ 22 \\ 23 \\ 24 \\ 25 \\ 25 \\ 26 \\ 27 \\ 27\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"349\" style=\"vertical-align: 0px;\"><\/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-3ce83dc3d04fb555c779ca1f9d52e5db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"27 \\ 27 \\ 27 \\ 29 \\ 30 \\ 30 \\ 31 \\ 31 \\ 31 \\ 31 \\ 31 \\ 32 \\ 32 \\ 36 \\ 37\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"349\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u6700\u3082\u591a\u304f\u7e70\u308a\u8fd4\u3055\u308c\u308b\u6570\u5b57\u306f 20\u300127\u3001\u304a\u3088\u3073 31 \u3067\u30013 \u3064\u306e\u6570\u5b57\u306f\u3059\u3079\u3066 5 \u56de\u7e70\u308a\u8fd4\u3055\u308c\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u4f8b\u306e\u30e2\u30fc\u30c9\u306f\u30de\u30eb\u30c1\u30e2\u30fc\u30c0\u30eb\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-306a2cd4028a68f3c5eeb794fad88dfb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Mo=\\{ 20 \\ ; \\ 27 \\ ; \\ 31\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"161\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-moda\"><\/span>\u30d5\u30a1\u30c3\u30b7\u30e7\u30f3\u96fb\u5353<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7d71\u8a08\u30b5\u30f3\u30d7\u30eb\u306e\u30c7\u30fc\u30bf\u3092\u6b21\u306e\u30aa\u30f3\u30e9\u30a4\u30f3\u8a08\u7b97\u6a5f\u306b\u5165\u529b\u3057\u3066\u3001\u305d\u306e\u6700\u983b\u5024\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=\"1 2 3 9.7 10 65.91 ...\" 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=\"\u30d5\u30a1\u30c3\u30b7\u30e7\u30f3\u8a08\u7b97\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"moda-para-datos-agrupados\"><\/span>\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u30e2\u30fc\u30c9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u30c7\u30fc\u30bf\u304c\u9593\u9694\u306e\u5f62\u5f0f\u3067\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u3001\u5404\u30c7\u30fc\u30bf\u304c\u4f55\u56de\u7e70\u308a\u8fd4\u3055\u308c\u308b\u304b\u306f\u5b9f\u969b\u306b\u306f\u308f\u304b\u308a\u307e\u305b\u3093\u3002\u308f\u304b\u308b\u306e\u306f\u5404\u9593\u9694\u306e\u983b\u5ea6\u3060\u3051\u3067\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<strong>\u9593\u9694\u306b\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u30e2\u30fc\u30c9\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059<\/strong>\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-b89eff1cff95213b25c85ae91f6e6e7c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Mo=L_i+ \\cfrac{f_i-f_{i-1}}{(f_i-f_{i-1})+(f_i-f_{i+1})}\\cdot A_i\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"308\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p>\u91d1\uff1a<\/p>\n<ul>\n<li> <em>\uff2c <sub>\uff49<\/sub><\/em>\u306f\u3001\u30e2\u30fc\u30c0\u30eb\u9593\u9694\uff08\u6700\u9ad8\u7d76\u5bfe\u5468\u6ce2\u6570\u9593\u9694\uff09\u306e\u4e0b\u9650\u3067\u3042\u308b\u3002<\/li>\n<li> <em>f <sub>i<\/sub><\/em>\u306f\u30e2\u30fc\u30c0\u30eb\u533a\u9593\u306e\u7d76\u5bfe\u5468\u6ce2\u6570\u3067\u3059\u3002<\/li>\n<li> <em>f <sub>i-1<\/sub><\/em>\u306f\u3001\u30e2\u30fc\u30c0\u30eb\u306e\u524d\u306e\u533a\u9593\u306e\u7d76\u5bfe\u5468\u6ce2\u6570\u3067\u3059\u3002<\/li>\n<li> <em>f <sub>i+1<\/sub><\/em>\u306f\u30e2\u30fc\u30c0\u30eb\u5f8c\u306e\u533a\u9593\u306e\u7d76\u5bfe\u5468\u6ce2\u6570\u3067\u3059\u3002<\/li>\n<li> <em>A <sub>i<\/sub><\/em>\u306f\u30e2\u30fc\u30c0\u30eb\u533a\u9593\u306e\u5e45\u3067\u3059\u3002<\/li>\n<\/ul>\n<p>\u4f8b\u3068\u3057\u3066\u3001\u4ee5\u4e0b\u3067\u306f\u3001\u9593\u9694\u306b\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u30e2\u30fc\u30c9\u3092\u8a08\u7b97\u3059\u308b\u6f14\u7fd2\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f\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-mode-donnees-groupees.png\" alt=\"\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u7d71\u8a08\u30e2\u30fc\u30c9\u306e\u4f8b\" class=\"wp-image-1968\" width=\"148\" height=\"210\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u3053\u306e\u5834\u5408\u3001\u7d76\u5bfe\u5468\u6ce2\u6570\u304c\u6700\u5927\u306e\u533a\u9593\u3067\u3042\u308b\u305f\u3081\u3001\u30e2\u30fc\u30c0\u30eb\u533a\u9593\u306f [40,45) \u306b\u306a\u308a\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u30e2\u30fc\u30c9\u5f0f\u30d1\u30e9\u30e1\u30fc\u30bf\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-85aef7092d3e0c7769ad17b96aae294c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}L_i=40\\\\[2ex]f_i=11\\\\[2ex]f_{i-1}=10\\\\[2ex]f_{i+1}=6\\\\[2ex]A_i=5\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"164\" width=\"73\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u5f0f\u3092\u9069\u7528\u3057\u3066\u9593\u9694\u306b\u30b0\u30eb\u30fc\u30d7\u5316\u3055\u308c\u305f\u30c7\u30fc\u30bf\u306e\u30e2\u30fc\u30c9\u3092\u6c7a\u5b9a\u3057\u3001\u8a08\u7b97\u3092\u5b9f\u884c\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-3ee33fdb43267fdcfc6d222ed6798fca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}Mo &amp; =L_i+ \\cfrac{f_i-f_{i-1}}{(f_i-f_{i-1})+(f_i-f_{i+1})}\\cdot A_i\\\\[2ex]&amp; =40+ \\cfrac{11-10}{(11-10)+(11-6)}\\cdot 5\\\\[2ex]&amp;=40,83\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"150\" width=\"308\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"diferencia-entre-moda-media-y-mediana\"><\/span>\u6700\u983b\u5024\u3001\u5e73\u5747\u5024\u3001\u4e2d\u592e\u5024\u306e\u9055\u3044<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u3053\u306e\u6700\u5f8c\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u306f\u3001\u6700\u983b\u5024\u3001\u5e73\u5747\u5024\u3001\u4e2d\u592e\u5024\u306e\u9055\u3044\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002 3 \u3064\u306f\u3059\u3079\u3066\u4e2d\u5fc3\u4f4d\u7f6e\u306e\u7d71\u8a08\u7684\u5c3a\u5ea6\u3067\u3042\u308b\u305f\u3081\u3001\u610f\u5473\u304c\u7570\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u8a18\u4e8b\u5168\u4f53\u3067\u8aac\u660e\u3057\u305f\u3088\u3046\u306b\u3001\u6570\u5b66\u306b\u304a\u3051\u308b\u30e2\u30fc\u30c9\u306f\u3001\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u5185\u3067\u6700\u3082\u7e70\u308a\u8fd4\u3055\u308c\u308b\u5024\u3067\u3059\u3002<\/p>\n<p>\u6b21\u306b\u3001\u5e73\u5747\u5024\u306f\u3059\u3079\u3066\u306e\u7d71\u8a08\u30c7\u30fc\u30bf\u306e\u5e73\u5747\u5024\u3067\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u7279\u5b9a\u306e\u30c7\u30fc\u30bf\u306e\u5e73\u5747\u3092\u53d6\u5f97\u3059\u308b\u306b\u306f\u3001\u3059\u3079\u3066\u306e\u30c7\u30fc\u30bf\u3092\u52a0\u7b97\u3057\u3001\u305d\u306e\u7d50\u679c\u3092\u89b3\u6e2c\u5024\u306e\u6570\u3067\u5272\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u6700\u5f8c\u306b\u3001\u4e2d\u592e\u5024\u306f\u3001\u30c7\u30fc\u30bf\u304c\u9806\u5e8f\u4ed8\u3051\u3055\u308c\u305f\u3068\u304d\u306b\u4e2d\u5fc3\u306e\u4f4d\u7f6e\u3092\u5360\u3081\u308b\u5024\u3067\u3059\u3002<\/p>\n<p>\u3057\u305f\u304c\u3063\u3066\u30013 \u3064\u306e\u7d71\u8a08\u7684\u5c3a\u5ea6\u306f\u3001\u78ba\u7387\u5206\u5e03\u306e\u4e2d\u5fc3\u5024\u306e\u30a2\u30a4\u30c7\u30a2\u3092\u63d0\u4f9b\u3059\u308b\u305f\u3081\u3001\u78ba\u7387\u5206\u5e03\u3092\u5b9a\u7fa9\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002\u305f\u3060\u3057\u3001\u3042\u308b\u5c3a\u5ea6\u304c\u4ed6\u306e\u5c3a\u5ea6\u3088\u308a\u512a\u308c\u3066\u3044\u308b\u3068\u3044\u3046\u308f\u3051\u3067\u306f\u306a\u304f\u3001\u610f\u5473\u3059\u308b\u6982\u5ff5\u304c\u7570\u306a\u308b\u3060\u3051\u3067\u3042\u308b\u3053\u3068\u306b\u7559\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-moda\"><\/span>\u30d5\u30a1\u30c3\u30b7\u30e7\u30f3\u7279\u6027<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u30d5\u30a1\u30c3\u30b7\u30e7\u30f3\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\u6700\u983b\u5024\u306f\u91cf\u7684\u5909\u6570\u3068\u8cea\u7684\u5909\u6570\u306e\u4e21\u65b9\u306b\u898b\u3089\u308c\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\u78ba\u7387\u5909\u6570\u306b\u7dda\u5f62\u5909\u63db\u3092\u9069\u7528\u3059\u308b\u3068\u3001\u9069\u7528\u3055\u308c\u305f\u6f14\u7b97\u306b\u5fdc\u3058\u3066\u5e73\u5747\u5024\u304c\u5909\u5316\u3057\u307e\u3059\u3002<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-268fa27528e129aa6682ebd614dd90a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Mo(X)=Y \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ M(aX+b)=aY+b\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"395\" style=\"vertical-align: 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