{"id":154,"date":"2023-08-04T21:10:24","date_gmt":"2023-08-04T21:10:24","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e7%bb%9d%e5%af%b9%e7%b4%af%e7%a7%af%e9%a2%91%e7%8e%87\/"},"modified":"2023-08-04T21:10:24","modified_gmt":"2023-08-04T21:10:24","slug":"%e7%bb%9d%e5%af%b9%e7%b4%af%e7%a7%af%e9%a2%91%e7%8e%87","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e7%bb%9d%e5%af%b9%e7%b4%af%e7%a7%af%e9%a2%91%e7%8e%87\/","title":{"rendered":"\u7d2f\u8ba1\u7edd\u5bf9\u9891\u7387"},"content":{"rendered":"<p>\u672c\u6587\u89e3\u91ca\u4ec0\u4e48\u662f\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u53ca\u5176\u7528\u9014\u3002\u56e0\u6b64\uff0c\u60a8\u5c06\u627e\u5230\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u7684\u5b9a\u4e49\u3001\u5982\u4f55\u4ece\u6570\u636e\u96c6\u4e2d\u83b7\u53d6\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\uff0c\u4ee5\u53ca\u9010\u6b65\u89e3\u51b3\u7684\u4e24\u4e2a\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-frecuencia-absoluta-acumulada\"><\/span>\u4ec0\u4e48\u662f\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c<strong>\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387<\/strong>\u662f\u7edd\u5bf9\u9891\u7387\u7684\u7d2f\u79ef\u548c\u3002\u5373\u67d0\u4e2a\u503c\u7684\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u7b49\u4e8e\u8be5\u503c\u7684\u7edd\u5bf9\u9891\u7387\u52a0\u4e0a\u6240\u6709\u5c0f\u4e8e\u5b83\u7684\u503c\u7684\u7edd\u5bf9\u9891\u7387\u3002<\/p>\n<p>\u5728\u7edf\u8ba1\u5b66\u4e2d\uff0c\u901a\u5e38\u7528\u5e26\u4e0b\u6807<em>i<\/em>\u7684\u5927\u5199\u5b57\u6bcd<em>F<\/em>\u6765\u8868\u793a<em>i<\/em>\u503c\u7684\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\uff0c\u56e0\u6b64\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u7684\u7b26\u53f7\u4e3a<em>F <sub>i<\/sub><\/em> 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class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8ba1\u7b97\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u7684\u6b65\u9aa4\u5982\u4e0b\uff1a<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\u521b\u5efa\u4e00\u4e2a\u5305\u542b\u6570\u636e\u96c6\u4e2d\u51fa\u73b0\u7684\u6240\u6709\u4e0d\u540c\u503c\u7684\u8868\uff0c\u5373\u5c06\u6bcf\u4e2a\u4e0d\u540c\u7684\u503c\u653e\u5728\u8868\u7684\u4e00\u884c\u4e2d\u3002<\/span><\/li>\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\u786e\u5b9a\u6bcf\u4e2a\u503c\u7684\u7edd\u5bf9\u9891\u7387\u3002<\/span><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\u6c42\u6bcf\u4e2a\u503c\u7684\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\uff0c\u8be5\u503c\u662f\u901a\u8fc7\u5c06\u8be5\u503c\u672c\u8eab\u7684\u7edd\u5bf9\u9891\u7387\u52a0\u4e0a\u6240\u6709\u8f83\u5c0f\u503c\u7684\u7edd\u5bf9\u9891\u7387\u76f8\u52a0\u8ba1\u7b97\u5f97\u51fa\u7684\u3002<\/span><\/li>\n<\/ol>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u5982\u679c\u53d8\u91cf\u662f\u8fde\u7eed\u7684\u6216\u6709\u8bb8\u591a\u4e0d\u540c\u7684\u503c\uff0c\u5219\u5fc5\u987b\u9996\u5148\u5c06\u6570\u636e\u5206\u7ec4\u4e3a\u533a\u95f4\uff0c\u7136\u540e\u5e94\u7528\u4e0a\u8ff0\u6b65\u9aa4\u6765\u67e5\u627e\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-la-frecuencia-absoluta-acumulada\"><\/span>\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e3a\u4e86\u8ba9\u60a8\u4e86\u89e3\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u662f\u5982\u4f55\u8ba1\u7b97\u7684\uff0c\u4e0b\u9762\u662f\u4e24\u4e2a\u5b9e\u9645\u793a\u4f8b\uff0c\u5206\u6b65\u8bf4\u660e\u3002\u5728\u7b2c\u4e00\u4e2a\u793a\u4f8b\u4e2d\uff0c\u8ba1\u7b97\u4e86\u79bb\u6563\u53d8\u91cf\u7684\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\uff0c\u5e76\u5728\u7b2c\u4e8c\u6b65\u4e2d\u8ba1\u7b97\u4e86\u8fde\u7eed\u53d8\u91cf\u7684\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-1-variable-discreta\"><\/span>\u793a\u4f8b1\uff1a\u79bb\u6563\u53d8\u91cf<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u73ed\u7ea730\u540d\u5b66\u751f\u7684\u7edf\u8ba1\u6210\u7ee9\u5982\u4e0b\u3002\u6bcf\u4e2a\u97f3\u7b26\u7684\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u662f\u591a\u5c11\uff1f <\/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-0b4c2aaf8375eb7531d0723aa5ef006c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5\\ 4\\ 7\\ 9\\ 10\\ 6\\ 7\\ 4\\ 8\\ 3\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"151\" 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-d92283243224cd8cd6067c4452a85f91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6\\ 9\\ 8\\ 5\\ 6\\ 4\\ 6\\ 2\\ 4\\ 7\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"142\" 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-e48f65ca1a0f947935791d6ca68469c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8\\ 9\\ 10\\ 5\\ 4\\ 3\\ 6\\ 8\\ 7\\ 5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"150\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u7531\u4e8e\u6240\u6709\u6570\u5b57\u53ea\u80fd\u662f\u6574\u6570\uff0c\u56e0\u6b64\u5b83\u662f\u79bb\u6563\u53d8\u91cf\u3002\u56e0\u6b64\uff0c\u6ca1\u6709\u5fc5\u8981\u5c06\u6570\u636e\u5206\u7ec4\u4e3a\u533a\u95f4\u3002<\/p>\n<p>\u6240\u4ee5\uff0c\u8981\u786e\u5b9a\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\uff0c\u9996\u5148\u8981\u6c42\u51fa\u6bcf\u4e2a\u503c\u7684\u7edd\u5bf9\u9891\u7387\uff0c\u5373\u6bcf\u4e2a\u503c\u5728\u7edf\u8ba1\u6837\u672c\u4e2d\u51fa\u73b0\u7684\u6b21\u6570\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-de-frequence-absolue.png\" alt=\"\u7edd\u5bf9\u9891\u7387\" class=\"wp-image-3232\" width=\"208\" height=\"403\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86\u7edd\u5bf9\u9891\u7387\uff0c\u6211\u4eec\u53ef\u4ee5\u8ba1\u7b97\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u6709\u4e24\u79cd\u9009\u62e9\uff1a\u8981\u4e48\u5c06\u503c\u7684\u7edd\u5bf9\u9891\u7387\u52a0\u4e0a\u6700\u5c0f\u503c\u7684\u6240\u6709\u7edd\u5bf9\u9891\u7387\u76f8\u52a0\uff0c\u8981\u4e48\u76f8\u53cd\uff0c\u5c06\u503c\u7684\u7edd\u5bf9\u9891\u7387\u52a0\u4e0a\u5148\u524d\u503c\u7684\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u76f8\u52a0\u3002\u4ef7\u503c\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-frequence-absolue-cumulative.png\" alt=\"\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u7684\u8ba1\u7b97\" class=\"wp-image-3244\" width=\"331\" height=\"405\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u7b80\u800c\u8a00\u4e4b\uff0c\u8fd0\u52a8\u7edd\u5bf9\u7d2f\u79ef\u9891\u7387\u7684\u8868\u683c\u5982\u4e0b\uff1a <\/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-de-frequence-absolue-cumulee.png\" alt=\"\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\" class=\"wp-image-3231\" width=\"337\" height=\"405\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u8bf7\u6ce8\u610f\uff0c\u6700\u540e\u4e00\u4e2a\u503c\u7684\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u59cb\u7ec8\u5bf9\u5e94\u4e8e\u6570\u636e\u603b\u6570\u3002\u5426\u5219\uff0c\u5c31\u8bf4\u660e\u4f60\u8ba1\u7b97\u9519\u8bef\u4e86\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-2-variable-continua\"><\/span>\u793a\u4f8b 2\uff1a\u8fde\u7eed\u53d8\u91cf<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u6d4b\u91cf\u4e8620\u4eba\u7684\u8eab\u9ad8\uff0c\u5f97\u5230\u5982\u4e0b\u7ed3\u679c\u3002\u5c06\u6570\u636e\u5206\u6210\u591a\u4e2a\u533a\u95f4\u5e76\u8ba1\u7b97\u6bcf\u4e2a\u533a\u95f4\u7684\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\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-dabf08a3cde1b12a0a9ded21b1de245c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1,84\\ 1,71\\ 1,75\\ 1,92\\ 1,57\\ 1,67\\ 1,94\\ 1,83\\ 1,79\\ 1,68\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"397\" style=\"vertical-align: -4px;\"><\/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-7c22571f0ef18923fbfb50586e3b6c29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1,54\\ 1,61\\ 1,78\\ 1,62\\ 1,89\\ 1,80\\ 1,99\\ 1,77\\ 1,70\\ 1,63\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"397\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u672c\u4f8b\u4e2d\u7684\u5206\u5e03\u662f\u8fde\u7eed\u7684\uff0c\u56e0\u4e3a\u53ef\u4ee5\u6709\u5c0f\u6570\uff0c\u6240\u4ee5\u6700\u597d\u5c06\u6570\u636e\u5206\u7ec4\u5230\u4e0d\u540c\u7684\u533a\u95f4\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u6570\u636e\u5206\u6210\u591a\u4e2a\u533a\u95f4\uff0c\u5e76\u8ba1\u7b97\u6bcf\u4e2a\u533a\u95f4\u4e2d\u67d0\u4e2a\u6570\u5b57\u51fa\u73b0\u7684\u6b21\u6570\uff0c\u4ee5\u83b7\u5f97\u7edd\u5bf9\u9891\u7387\uff1a <\/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\/donnees-du-tableau-de-frequence-absolue-regroupees-en-intervalles.png\" alt=\"\u6309\u95f4\u9694\u5206\u7ec4\u7684\u6570\u636e\u7684\u7edd\u5bf9\u9891\u7387\" class=\"wp-image-3233\" width=\"244\" height=\"264\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p>\u7136\u540e\uff0c\u8981\u786e\u5b9a\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\uff0c\u53ea\u9700\u5c06\u6240\u6709\u5148\u524d\u503c\u7684\u7edd\u5bf9\u9891\u7387\u52a0\u4e0a\u76f8\u5173\u503c\u7684\u7edd\u5bf9\u9891\u7387\u5373\u53ef\uff1a <\/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\/frequence-absolue-cumulative-pour-les-donnees-regroupees-en-intervalles.png\" alt=\"\u5206\u7ec4\u6570\u636e\u7684\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\" class=\"wp-image-3248\" width=\"375\" height=\"289\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"frecuencia-absoluta-acumulada-y-frecuencia-relativa-acumulada\"><\/span>\u7d2f\u79ef\u7edd\u5bf9\u9891\u7387\u548c\u7d2f\u79ef\u76f8\u5bf9\u9891\u7387<span 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