{"id":117,"date":"2023-08-05T06:38:07","date_gmt":"2023-08-05T06:38:07","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e3%83%92%e3%82%b9%e3%83%88%e3%82%af%e3%82%99%e3%83%a9%e3%83%a0\/"},"modified":"2023-08-05T06:38:07","modified_gmt":"2023-08-05T06:38:07","slug":"%e3%83%92%e3%82%b9%e3%83%88%e3%82%af%e3%82%99%e3%83%a9%e3%83%a0","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e3%83%92%e3%82%b9%e3%83%88%e3%82%af%e3%82%99%e3%83%a9%e3%83%a0\/","title":{"rendered":"\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3068\u306f\u4f55\u304b\u3001\u4f55\u306b\u4f7f\u7528\u3055\u308c\u308b\u304b\u3001\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3092\u89e3\u91c8\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306e\u4f5c\u6210\u65b9\u6cd5\u3068\u3001\u3042\u3089\u3086\u308b\u7a2e\u985e\u306e\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306e\u4f8b\u304c\u308f\u304b\u308a\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-un-histograma\"><\/span>\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0<\/strong>\u306f\u7d71\u8a08\u30b0\u30e9\u30d5\u306e\u4e00\u7a2e\u3067\u3001\u4e00\u9023\u306e\u7d71\u8a08\u30c7\u30fc\u30bf\u304c\u9577\u65b9\u5f62\u306e\u30d0\u30fc\u3067\u8868\u3055\u308c\u3001\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u5185\u306e\u5404\u30d0\u30fc\u304c\u5bfe\u5fdc\u3059\u308b\u983b\u5ea6\u306b\u6bd4\u4f8b\u3057\u307e\u3059\u3002<\/p>\n<p>\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306f\u3001\u7d71\u8a08\u30b5\u30f3\u30d7\u30eb\u306e\u91cd\u307f\u306a\u3069\u306e\u9023\u7d9a\u5909\u6570\u3092\u30b0\u30e9\u30d5\u5316\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u3055\u3089\u306b\u3001\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u5206\u5e03\u306e\u5f62\u72b6\u3092\u3059\u3070\u3084\u304f\u8996\u899a\u5316\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\/histogramme-1.png\" alt=\"\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\" class=\"wp-image-2613\" width=\"204\" height=\"204\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u983b\u5ea6\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306e\u5404\u30d0\u30fc\u306e\u5e45\u306f\u9593\u9694\u306e\u5e45\u306b\u6bd4\u4f8b\u3057\u3001\u9ad8\u3055\u306f\u9593\u9694\u306e\u983b\u5ea6\u306b\u6bd4\u4f8b\u3057\u307e\u3059\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-hacer-un-histograma\"><\/span> \u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306e\u4f5c\u308a\u65b9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3092\u4f5c\u6210\u3059\u308b<\/strong>\u624b\u9806\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\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\u7cfb\u5217\u306b\u57fa\u3065\u3044\u3066\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306e\u6a2a\u8ef8\u3092\u30b0\u30eb\u30fc\u30d7\u306b\u5206\u5272\u3057\u307e\u3059\u3002<\/span><\/li>\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306e\u7e26\u8ef8\u306b\u9593\u9694\u983b\u5ea6\u5024\u3092\u30d7\u30ed\u30c3\u30c8\u3057\u307e\u3059\u3002<\/span><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\u9593\u9694\u3054\u3068\u306b\u3001\u9593\u9694\u306e\u5468\u6ce2\u6570\u306b\u7b49\u3057\u3044\u9ad8\u3055\u306e\u9577\u65b9\u5f62\u306e\u30d0\u30fc\u3092\u63cf\u753b\u3057\u307e\u3059\u3002\u9023\u7d9a\u3059\u308b 2 \u3064\u306e\u9593\u9694\u306e\u30d0\u30fc\u304c\u63a5\u89e6\u3057\u3066\u3044\u308b\u5fc5\u8981\u304c\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-histograma\"><\/span>\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306e\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306e\u5b9a\u7fa9\u3068\u95a2\u9023\u3059\u308b\u7406\u8ad6\u3092\u7406\u89e3\u3057\u305f\u3089\u3001\u4ee5\u4e0b\u306b\u3053\u306e\u30bf\u30a4\u30d7\u306e\u7d71\u8a08\u30b0\u30e9\u30d5\u304c\u3069\u306e\u3088\u3046\u306b\u4f5c\u6210\u3055\u308c\u308b\u304b\u306e\u4f8b\u3092\u8aac\u660e\u3057\u307e\u3059\u3002<\/p>\n<ul>\n<li>\u6b21\u306e\u983b\u5ea6\u8868\u306b\u793a\u3059\u3088\u3046\u306b\u3001\u8863\u6599\u54c1\u5e97\u306f 1 \u65e5\u306b\u7570\u306a\u308b\u4fa1\u683c\u3067 50 \u500b\u306e\u5546\u54c1\u3092\u8ca9\u58f2\u3057\u307e\u3059\u3002\u8a18\u9332\u3055\u308c\u305f\u8ca9\u58f2\u30c7\u30fc\u30bf\u304b\u3089\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002 <\/li>\n<\/ul>\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\/exemples-dintervalles-de-table-frequence-absolue.png\" alt=\"\" class=\"wp-image-2316\" width=\"202\" height=\"299\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3092\u8868\u3059\u306b\u306f\u3001\u4e0a\u3067\u8aac\u660e\u3057\u305f\u624b\u9806\u306b\u5f93\u3046\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u6700\u521d\u306b\u6a2a\u8ef8\u3092\u30c7\u30fc\u30bf\u306e\u9593\u9694\u306b\u76f8\u5f53\u3059\u308b\u90e8\u5206\u306b\u5206\u5272\u3057\u3001\u6b21\u306b\u7e26\u8ef8\u306e\u30b9\u30b1\u30fc\u30eb\u3092\u8abf\u6574\u3057\u3001\u6700\u5f8c\u306b\u5404\u9593\u9694\u3092\u7d76\u5bfe\u983b\u5ea6\u3067\u540c\u3058\u9ad8\u3055\u306e\u5217\u3067\u8868\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\/exemple-dhistogramme.png\" alt=\"\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306e\u4f8b\" class=\"wp-image-2621\" width=\"471\" height=\"315\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"histograma-de-frecuencia-relativa\"><\/span>\u76f8\u5bfe\u983b\u5ea6\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u76f8\u5bfe\u5ea6\u6570\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306f\u3001<\/strong>\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306e\u76f8\u5bfe\u5ea6\u6570\u3092\u8868\u3059\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306e\u4e00\u7a2e\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u7d76\u5bfe\u5468\u6ce2\u6570\u3092\u30b0\u30e9\u30d5\u5316\u3059\u308b\u4ee3\u308f\u308a\u306b\u3001\u76f8\u5bfe\u5468\u6ce2\u6570\u3092\u30b0\u30e9\u30d5\u5316\u3057\u307e\u3059\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\">\u9593\u9694\u306e\u76f8\u5bfe\u983b\u5ea6\u306f\u3001\u305d\u306e\u7d76\u5bfe\u983b\u5ea6\u3092\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u306e\u7dcf\u6570\u3067\u5272\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3055\u308c\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/div>\n<p>\u7570\u306a\u308b\u5ea6\u6570\u304c\u8868\u3055\u308c\u3066\u3044\u307e\u3059\u304c\u3001\u76f8\u5bfe\u5ea6\u6570\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306e\u5f62\u72b6\u306f\u7d76\u5bfe\u5ea6\u6570\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306e\u5f62\u72b6\u3068\u540c\u3058\u3067\u3042\u308a\u3001\u5358\u306b\u7e26\u8ef8\u306e\u5024\u3092\u5909\u66f4\u3059\u308b\u3060\u3051\u3067\u3059\u3002<\/p>\n<p>\u4f8b\u3068\u3057\u3066\u3001\u524d\u306e\u6f14\u7fd2\u306e\u7d71\u8a08\u7684\u7814\u7a76\u304b\u3089\u76f8\u5bfe\u983b\u5ea6\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3092\u69cb\u7bc9\u3057\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u307e\u305a\u5404\u9593\u9694\u306e\u76f8\u5bfe\u983b\u5ea6\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u7d76\u5bfe\u983b\u5ea6\u3092\u30c7\u30fc\u30bf\u306e\u7dcf\u6570 (50) \u3067\u5272\u3063\u305f\u3082\u306e\u306b\u76f8\u5f53\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\/tableau-donnees-intervalles-exemples-frequences.png\" alt=\"\" class=\"wp-image-2319\" width=\"321\" height=\"300\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u76f8\u5bfe\u983b\u5ea6\u3092\u8a08\u7b97\u3057\u305f\u3089\u3001\u305d\u308c\u3089\u3092\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306b\u30b0\u30e9\u30d5\u5316\u3059\u308b\u3060\u3051\u3067\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u8ca9\u58f2\u3055\u308c\u305f\u30e6\u30cb\u30c3\u30c8\u306e\u4fa1\u683c\u306b\u5bfe\u5fdc\u3059\u308b\u6a2a\u8ef8\u3092\u63cf\u304d\u3001\u6b21\u306b\u76f8\u5bfe\u983b\u5ea6\u3092\u8868\u3059\u7e26\u8ef8\u3092\u63cf\u304d\u3001\u6700\u5f8c\u306b\u5404\u9593\u9694\u3054\u3068\u306b\u76f8\u5bfe\u983b\u5ea6\u306b\u7b49\u3057\u3044\u9ad8\u3055\u306e\u9577\u65b9\u5f62\u306e\u68d2\u3092\u63cf\u304d\u307e\u3059\u3002 \u3002\u983b\u5ea6\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\/histogramme-de-frequence-relative.png\" alt=\"\u76f8\u5bfe\u983b\u5ea6\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306e\u4f8b\" class=\"wp-image-2320\" width=\"463\" height=\"310\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"histograma-de-frecuencias-acumuladas\"><\/span>\u7d2f\u7a4d\u983b\u5ea6\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7d76\u5bfe\u983b\u5ea6\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3068\u76f8\u5bfe\u983b\u5ea6\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306e\u4f5c\u6210\u65b9\u6cd5\u3092\u8aac\u660e\u3057\u307e\u3057\u305f\u304c\u3001\u7d71\u8a08\u3067\u306f\u7d2f\u7a4d\u983b\u5ea6\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3082\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<p><strong>\u7d2f\u7a4d\u5ea6\u6570\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306f\u3001<\/strong>\u7d2f\u7a4d\u5ea6\u6570\u3092\u30d7\u30ed\u30c3\u30c8\u3057\u305f\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306e\u4e00\u7a2e\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u7d2f\u7a4d\u983b\u5ea6\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3067\u306f\u3001\u7d76\u5bfe\u983b\u5ea6\u3067\u306f\u306a\u304f\u7d2f\u7a4d\u983b\u5ea6\u304c\u8868\u3055\u308c\u307e\u3059\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\">\u7d2f\u7a4d\u983b\u5ea6\u306f\u3001\u4ee5\u524d\u306e\u3059\u3079\u3066\u306e\u9593\u9694\u306e\u983b\u5ea6\u3068\u9593\u9694\u81ea\u4f53\u306e\u983b\u5ea6\u306e\u5408\u8a08\u3067\u3042\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/div>\n<p>\u8ad6\u7406\u7684\u306b\u306f\u3001\u7d76\u5bfe\u983b\u5ea6\u3068\u76f8\u5bfe\u983b\u5ea6\u3092\u4f7f\u7528\u3057\u3066\u7d2f\u7a4d\u983b\u5ea6\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3092\u4f5c\u6210\u3067\u304d\u307e\u3059\u3002\u4f8b\u3068\u3057\u3066\u3001\u3053\u306e\u8a18\u4e8b\u5168\u4f53\u3067\u884c\u3046\u6f14\u7fd2\u3068\u540c\u3058\u30c7\u30fc\u30bf\u3092\u4f7f\u7528\u3057\u3066\u3001\u3053\u308c\u3089 2 \u7a2e\u985e\u306e\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3092\u4ee5\u4e0b\u306b\u793a\u3057\u307e\u3059\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"histograma-de-frecuencias-absolutas-acumuladas\"><\/span>\u7d2f\u7a4d\u7d76\u5bfe\u983b\u5ea6\u306e\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u660e\u3089\u304b\u306b\u3001\u7d2f\u7a4d\u7d76\u5bfe\u983b\u5ea6\u306e\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3092\u30d7\u30ed\u30c3\u30c8\u3059\u308b\u306b\u306f\u3001\u307e\u305a\u5404\u9593\u9694\u306e\u7d2f\u7a4d\u7d76\u5bfe\u983b\u5ea6\u3092\u6c7a\u5b9a\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u306b\u306f\u3001\u5404\u9593\u9694\u306b\u304a\u3051\u308b\u4ee5\u524d\u306e\u3059\u3079\u3066\u306e\u7d76\u5bfe\u5468\u6ce2\u6570\u3068\u3001\u554f\u984c\u306e\u9593\u9694\u306e\u7d76\u5bfe\u5468\u6ce2\u6570\u3092\u52a0\u7b97\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\/tableau-donnees-intervalles-exemples-frequences-absolues-accumulees.png\" alt=\"\" class=\"wp-image-2628\" width=\"299\" height=\"301\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u3057\u305f\u304c\u3063\u3066\u3001\u8a08\u7b97\u304c\u5b8c\u4e86\u3057\u305f\u306e\u3067\u3001\u540c\u3058\u624b\u9806\u306b\u5f93\u3063\u3066\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u3092\u30d7\u30ed\u30c3\u30c8\u3057\u307e\u3059\u304c\u3001\u7d2f\u7a4d\u7d76\u5bfe\u983b\u5ea6\u3092\u4f7f\u7528\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\/histogramme-de-frequence-cumulee.png\" alt=\"\u7d2f\u7a4d\u5ea6\u6570\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\" class=\"wp-image-2629\" width=\"466\" height=\"313\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"histograma-de-frecuencias-relativas-acumuladas\"><\/span>\u7d2f\u7a4d\u76f8\u5bfe\u5ea6\u6570\u306e\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u7d2f\u7a4d\u76f8\u5bfe\u5ea6\u6570\u306e\u30d2\u30b9\u30c8\u30b0\u30e9\u30e0\u306f\u3001\u7d2f\u7a4d\u7d76\u5bfe\u5ea6\u6570\u3068\u540c\u3058\u65b9\u6cd5\u3067\u4f5c\u6210\u3055\u308c\u307e\u3059\u3002\u307e\u305a\u3001\u30c7\u30fc\u30bf\u7cfb\u5217\u306e\u7d2f\u7a4d\u76f8\u5bfe\u5ea6\u6570\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tableau-donnees-intervalles-exemples-frequences-relatives-accumulees.png\" alt=\"\" class=\"wp-image-2323\" width=\"531\" height=\"309\" srcset=\"\" sizes=\"auto, 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