{"id":2914,"date":"2025-03-18T00:34:45","date_gmt":"2025-03-17T16:34:45","guid":{"rendered":"https:\/\/www.laixuexila.com\/?p=2914"},"modified":"2025-03-18T00:36:33","modified_gmt":"2025-03-17T16:36:33","slug":"python-statistics-%e6%a8%a1%e5%9d%97","status":"publish","type":"post","link":"https:\/\/www.laixuexila.com\/index.php\/2025\/03\/18\/python-statistics-%e6%a8%a1%e5%9d%97\/","title":{"rendered":"Python statistics \u6a21\u5757"},"content":{"rendered":"\n<p>Python \u7684 <code>statistics<\/code> \u6a21\u5757\u4e3a\u6211\u4eec\u63d0\u4f9b\u4e86\u4e00\u4e9b\u7528\u4e8e\u7edf\u8ba1\u5206\u6790\u7684\u57fa\u7840\u5de5\u5177\uff0c\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u5728\u6570\u636e\u5904\u7406\u4e2d\u8ba1\u7b97\u5e38\u89c1\u7684\u7edf\u8ba1\u91cf\uff0c\u5982\u5747\u503c\u3001\u4e2d\u4f4d\u6570\u3001\u6807\u51c6\u5dee\u7b49\u3002\u4e86\u89e3\u8fd9\u4e9b\u51fd\u6570\u7684\u5b9e\u73b0\u539f\u7406\u53ca\u5176\u9002\u7528\u573a\u666f\u662f\u5f88\u91cd\u8981\u7684\uff0c\u63a5\u4e0b\u6765\u6df1\u5165\u89e3\u91ca\u6bcf\u4e2a\u51fd\u6570\u7684\u4f7f\u7528\u548c\u80cc\u540e\u7684\u6570\u5b66\u542b\u4e49\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. <strong>\u5747\u503c\uff08Mean\uff09<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong><code>mean(data)<\/code><\/strong>:<\/li>\n\n\n\n<li><strong>\u5b9a\u4e49<\/strong>\uff1a\u5747\u503c\u662f\u6570\u636e\u96c6\u6240\u6709\u503c\u7684\u603b\u548c\u9664\u4ee5\u6570\u636e\u7684\u4e2a\u6570\u3002\u5b83\u662f\u63cf\u8ff0\u6570\u636e\u96c6\u4e2d\u201c\u4e2d\u5fc3\u201d\u4f4d\u7f6e\u7684\u5e38\u7528\u65b9\u6cd5\u3002<\/li>\n\n\n\n<li><strong>\u9002\u7528\u573a\u666f<\/strong>\uff1a\u5f53\u6570\u636e\u96c6\u4e2d\u7684\u503c\u8f83\u4e3a\u5206\u6563\u4e14\u6ca1\u6709\u6781\u7aef\u503c\uff08\u5373\u6570\u636e\u6bd4\u8f83\u5e73\u7a33\u65f6\uff09\uff0c\u5747\u503c\u662f\u4e00\u4e2a\u975e\u5e38\u5408\u9002\u7684\u96c6\u4e2d\u8d8b\u52bf\u5ea6\u91cf\u3002<\/li>\n<\/ul>\n\n\n\n<pre class=\"wp-block-code\"><code>  import statistics\n  data = &#91;1, 2, 3, 4, 5]\n  print(statistics.mean(data))  # \u8f93\u51fa 3<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">2. <strong>\u4e2d\u4f4d\u6570\uff08Median\uff09<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong><code>median(data)<\/code><\/strong>:<\/li>\n\n\n\n<li><strong>\u5b9a\u4e49<\/strong>\uff1a\u4e2d\u4f4d\u6570\u662f\u5c06\u6570\u636e\u96c6\u6309\u5927\u5c0f\u987a\u5e8f\u6392\u5217\u540e\uff0c\u4f4d\u4e8e\u4e2d\u95f4\u4f4d\u7f6e\u7684\u503c\u3002\u5982\u679c\u6570\u636e\u70b9\u4e2a\u6570\u4e3a\u5947\u6570\uff0c\u5219\u4e2d\u4f4d\u6570\u662f\u4e2d\u95f4\u7684\u503c\uff1b\u5982\u679c\u4e3a\u5076\u6570\uff0c\u5219\u4e2d\u4f4d\u6570\u662f\u4e2d\u95f4\u4e24\u4e2a\u6570\u7684\u5e73\u5747\u503c\u3002<\/li>\n\n\n\n<li><strong>\u9002\u7528\u573a\u666f<\/strong>\uff1a\u4e2d\u4f4d\u6570\u5bf9\u4e8e\u542b\u6709\u6781\u7aef\u503c\uff08\u4f8b\u5982\u5f02\u5e38\u503c\u6216\u566a\u58f0\u6570\u636e\uff09\u7684\u6570\u636e\u96c6\u975e\u5e38\u6709\u7528\uff0c\u56e0\u4e3a\u5b83\u4e0d\u53d7\u6781\u7aef\u503c\u7684\u5f71\u54cd\u3002<\/li>\n<\/ul>\n\n\n\n<pre class=\"wp-block-code\"><code>  data = &#91;1, 2, 3, 4, 5]\n  print(statistics.median(data))  # \u8f93\u51fa 3<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">3. <strong>\u4f17\u6570\uff08Mode\uff09<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong><code>mode(data)<\/code><\/strong>:<\/li>\n\n\n\n<li><strong>\u5b9a\u4e49<\/strong>\uff1a\u4f17\u6570\u662f\u6570\u636e\u96c6\u4e2d\u7684\u503c\u51fa\u73b0\u6b21\u6570\u6700\u591a\u7684\u90a3\u4e2a\u503c\u3002\u5982\u679c\u6709\u591a\u4e2a\u503c\u7684\u51fa\u73b0\u6b21\u6570\u76f8\u540c\uff0c<code>mode<\/code> \u4f1a\u629b\u51fa <code>StatisticsError<\/code> \u9519\u8bef\u3002<\/li>\n\n\n\n<li>\u4f17\u6570\u5c31\u662f\u51fa\u73b0\u9891\u7387\u6700\u9ad8\u7684\u503c\u3002<\/li>\n\n\n\n<li><strong>\u9002\u7528\u573a\u666f<\/strong>\uff1a\u4f17\u6570\u5bf9\u4e8e\u4e86\u89e3\u6570\u636e\u4e2d\u6700\u5e38\u89c1\u7684\u60c5\u51b5\u975e\u5e38\u6709\u7528\u3002\u5c24\u5176\u9002\u7528\u4e8e\u5206\u7c7b\u6570\u636e\u6216\u8ba1\u6570\u578b\u6570\u636e\u3002<\/li>\n<\/ul>\n\n\n\n<pre class=\"wp-block-code\"><code>  data = &#91;1, 2, 2, 3, 4]\n  print(statistics.mode(data))  # \u8f93\u51fa 2<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">4. <strong>\u65b9\u5dee\uff08Variance\uff09<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong><code>variance(data)<\/code><\/strong>:<\/li>\n\n\n\n<li><strong>\u5b9a\u4e49<\/strong>\uff1a\u65b9\u5dee\u662f\u6570\u636e\u70b9\u4e0e\u5747\u503c\u7684\u504f\u5dee\u7684\u5e73\u65b9\u7684\u5e73\u5747\u503c\u3002\u5b83\u7528\u4e8e\u8861\u91cf\u6570\u636e\u7684\u79bb\u6563\u7a0b\u5ea6\u3002\u65b9\u5dee\u8d8a\u5927\uff0c\u8bf4\u660e\u6570\u636e\u7684\u6ce2\u52a8\u8d8a\u5927\u3002<\/li>\n\n\n\n<li><strong>\u9002\u7528\u573a\u666f<\/strong>\uff1a\u65b9\u5dee\u901a\u5e38\u7528\u4e8e\u5ea6\u91cf\u6570\u636e\u96c6\u7684\u79bb\u6563\u7a0b\u5ea6\uff0c\u7279\u522b\u662f\u5728\u7edf\u8ba1\u5efa\u6a21\u548c\u673a\u5668\u5b66\u4e60\u4e2d\uff0c\u7528\u4e8e\u8861\u91cf\u6a21\u578b\u7684\u62df\u5408\u7a0b\u5ea6\u3002<\/li>\n<\/ul>\n\n\n\n<pre class=\"wp-block-code\"><code>  data = &#91;1, 2, 3, 4, 5]\n  print(statistics.variance(data))  # \u8f93\u51fa 2.5<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">5. <strong>\u6807\u51c6\u5dee\uff08Standard Deviation\uff09<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong><code>stdev(data)<\/code><\/strong>:<\/li>\n\n\n\n<li><strong>\u5b9a\u4e49<\/strong>\uff1a\u6807\u51c6\u5dee\u662f\u65b9\u5dee\u7684\u5e73\u65b9\u6839\u3002\u6807\u51c6\u5dee\u4e0e\u65b9\u5dee\u7c7b\u4f3c\uff0c\u90fd\u662f\u7528\u6765\u8861\u91cf\u6570\u636e\u7684\u79bb\u6563\u5ea6\uff0c\u4f46\u662f\u6807\u51c6\u5dee\u7684\u5355\u4f4d\u4e0e\u539f\u6570\u636e\u76f8\u540c\uff0c\u4f7f\u5f97\u5b83\u66f4\u52a0\u76f4\u89c2\u6613\u61c2\u3002<\/li>\n\n\n\n<li><strong>\u9002\u7528\u573a\u666f<\/strong>\uff1a\u6807\u51c6\u5dee\u5e7f\u6cdb\u7528\u4e8e\u8861\u91cf\u6570\u636e\u7684\u5206\u6563\u7a0b\u5ea6\uff0c\u5c24\u5176\u5728\u91d1\u878d\u548c\u7edf\u8ba1\u5206\u6790\u4e2d\u3002<\/li>\n<\/ul>\n\n\n\n<pre class=\"wp-block-code\"><code>  data = &#91;1, 2, 3, 4, 5]\n  print(statistics.stdev(data))  # \u8f93\u51fa 1.58<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">6. <strong>\u603b\u4f53\u65b9\u5dee\u4e0e\u603b\u4f53\u6807\u51c6\u5dee<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong><code>pvariance(data)<\/code> \u548c <code>pstdev(data)<\/code><\/strong>:<\/li>\n\n\n\n<li><strong>\u5b9a\u4e49<\/strong>\uff1a\u8fd9\u4e9b\u51fd\u6570\u5206\u522b\u8ba1\u7b97\u6570\u636e\u96c6\u7684\u603b\u4f53\u65b9\u5dee\u548c\u603b\u4f53\u6807\u51c6\u5dee\u3002\u4e0e\u6837\u672c\u65b9\u5dee\u548c\u6837\u672c\u6807\u51c6\u5dee\u4e0d\u540c\uff0c\u603b\u4f53\u65b9\u5dee\u548c\u6807\u51c6\u5dee\u662f\u8ba1\u7b97\u6574\u4e2a\u6570\u636e\u96c6\u7684\u504f\u5dee\u3002<\/li>\n\n\n\n<li><strong>\u533a\u522b<\/strong>\uff1a\u6837\u672c\u65b9\u5dee\u548c\u6807\u51c6\u5dee\u662f\u5bf9\u603b\u4f53\u65b9\u5dee\u548c\u6807\u51c6\u5dee\u7684\u4f30\u8ba1\uff0c\u5206\u6bcd\u662f (n-1)\uff0c\u800c\u603b\u4f53\u65b9\u5dee\u548c\u6807\u51c6\u5dee\u7684\u5206\u6bcd\u662f (n)\u3002<\/li>\n<\/ul>\n\n\n\n<pre class=\"wp-block-code\"><code>  data = &#91;1, 2, 3, 4, 5]\n  print(statistics.pvariance(data))  # \u8f93\u51fa 2.0\n  print(statistics.pstdev(data))  # \u8f93\u51fa 1.4142<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">7. <strong>\u5176\u4ed6\u5e38\u7528\u51fd\u6570<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong><code>median_low(data)<\/code> \u548c <code>median_high(data)<\/code><\/strong>\uff1a<\/li>\n\n\n\n<li><strong>\u5b9a\u4e49<\/strong>\uff1a\u8fd9\u4e24\u4e2a\u51fd\u6570\u5206\u522b\u8fd4\u56de\u6570\u636e\u96c6\u7684\u201c\u4f4e\u4e2d\u4f4d\u6570\u201d\u548c\u201c\u9ad8\u4e2d\u4f4d\u6570\u201d\u3002<code>median_low<\/code> \u8fd4\u56de\u6392\u5e8f\u540e\u7684\u6570\u636e\u96c6\u7684\u4e0b\u534a\u90e8\u5206\u7684\u4e2d\u4f4d\u6570\uff0c<code>median_high<\/code> \u8fd4\u56de\u4e0a\u534a\u90e8\u5206\u7684\u4e2d\u4f4d\u6570\u3002<\/li>\n\n\n\n<li><strong>\u9002\u7528\u573a\u666f<\/strong>\uff1a\u5728\u67d0\u4e9b\u7279\u5b9a\u60c5\u51b5\u4e0b\uff08\u4f8b\u5982\u9700\u8981\u53d6\u8f83\u5c0f\u6216\u8f83\u5927\u7684\u4e2d\u4f4d\u6570\uff09\uff0c\u8fd9\u4e9b\u51fd\u6570\u4f1a\u975e\u5e38\u6709\u7528\u3002<\/li>\n<\/ul>\n\n\n\n<pre class=\"wp-block-code\"><code>  data = &#91;1, 2, 3, 4, 5]\n  print(statistics.median_low(data))  # \u8f93\u51fa 2\n  print(statistics.median_high(data))  # \u8f93\u51fa 4<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u603b\u7ed3\uff1a<\/h3>\n\n\n\n<p><code>statistics<\/code> \u6a21\u5757\u63d0\u4f9b\u4e86\u4e00\u4e9b\u5e38\u7528\u7684\u7edf\u8ba1\u8ba1\u7b97\u5de5\u5177\uff0c\u80fd\u591f\u5e2e\u52a9\u5927\u5bb6\u8fdb\u884c\u57fa\u672c\u7684\u7edf\u8ba1\u5206\u6790\u3002\u7406\u89e3\u8fd9\u4e9b\u7edf\u8ba1\u91cf\uff08\u5747\u503c\u3001\u65b9\u5dee\u3001\u6807\u51c6\u5dee\u3001\u4e2d\u4f4d\u6570\u3001\u4f17\u6570\u7b49\uff09\u7684\u6570\u5b66\u610f\u4e49\uff0c\u5e76\u5728\u9002\u5f53\u7684\u573a\u666f\u4e2d\u4f7f\u7528\u5b83\u4eec\uff0c\u5bf9\u4e8e\u6570\u636e\u5206\u6790\u548c\u5efa\u6a21\u81f3\u5173\u91cd\u8981\u3002\u5bf9\u4e8e\u66f4\u590d\u6742\u7684\u7edf\u8ba1\u9700\u6c42\uff0c\u5982\u5047\u8bbe\u68c0\u9a8c\u6216\u56de\u5f52\u5206\u6790\uff0c\u53ef\u4ee5\u4f7f\u7528\u5176\u4ed6\u4e13\u95e8\u7684\u5e93\uff08\u4f8b\u5982 <code>scipy.stats<\/code> \u6216 <code>numpy<\/code>\uff09\u3002<\/p>\n\n\n\n<p>\u66f4\u591a\u8be6\u7ec6\u5185\u5bb9\u8bf7\u5173\u6ce8\u5176\u4ed6\u76f8\u5173\u6587\u7ae0\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Python \u7684 statistics \u6a21\u5757\u4e3a\u6211\u4eec\u63d0\u4f9b\u4e86\u4e00\u4e9b\u7528\u4e8e\u7edf\u8ba1\u5206\u6790\u7684\u57fa\u7840\u5de5\u5177\uff0c\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u5728\u6570\u636e\u5904\u7406\u4e2d\u8ba1 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2915,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[79],"tags":[],"class_list":["post-2914","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-python-3-"],"_links":{"self":[{"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/posts\/2914","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/comments?post=2914"}],"version-history":[{"count":3,"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/posts\/2914\/revisions"}],"predecessor-version":[{"id":2918,"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/posts\/2914\/revisions\/2918"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/media\/2915"}],"wp:attachment":[{"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/media?parent=2914"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/categories?post=2914"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.laixuexila.com\/index.php\/wp-json\/wp\/v2\/tags?post=2914"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}