{"id":1097274,"date":"2025-01-08T15:10:08","date_gmt":"2025-01-08T07:10:08","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/1097274.html"},"modified":"2025-01-08T15:10:10","modified_gmt":"2025-01-08T07:10:10","slug":"python%e5%a6%82%e4%bd%95%e8%ae%a1%e7%ae%97%e6%a0%b7%e6%9c%ac%e6%a0%87%e5%87%86%e5%b7%ae-2","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/1097274.html","title":{"rendered":"python\u5982\u4f55\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee"},"content":{"rendered":"

\"python\u5982\u4f55\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\"<\/p>\n

\u5728Python\u4e2d\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\uff0c\u53ef\u4ee5\u4f7f\u7528\u5185\u7f6e\u7684\u7edf\u8ba1\u5e93\u3001Numpy\u5e93\u3001Pandas\u5e93<\/strong>\u3002\u4f7f\u7528\u5185\u7f6e\u7684\u7edf\u8ba1\u5e93\u8f83\u4e3a\u7b80\u5355\uff0c\u4f46Numpy\u548cPandas\u5e93\u5728\u5904\u7406\u5927\u6570\u636e\u96c6\u548c\u6570\u636e\u5206\u6790\u65b9\u9762\u66f4\u52a0\u9ad8\u6548\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u5c06\u8be6\u7ec6\u4ecb\u7ecd\u5982\u4f55\u4f7f\u7528\u8fd9\u4e09\u79cd\u65b9\u6cd5\u6765\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\u3002<\/p>\n<\/p>\n

\u4e00\u3001\u4f7f\u7528\u5185\u7f6e\u7684\u7edf\u8ba1\u5e93<\/h3>\n<\/p>\n

Python\u7684\u6807\u51c6\u5e93\u4e2d\u6709\u4e00\u4e2astatistics<\/code>\u6a21\u5757\uff0c\u8be5\u6a21\u5757\u5305\u542b\u4e86\u8bb8\u591a\u7528\u4e8e\u7edf\u8ba1\u8ba1\u7b97\u7684\u65b9\u6cd5\u3002\u8981\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\uff0c\u53ef\u4ee5\u4f7f\u7528statistics.stdev()<\/code>\u65b9\u6cd5\u3002<\/p>\n<\/p>\n

import statistics<\/p>\n
data = [10, 20, 30, 40, 50]<\/p>\n
sample_std_dev = statistics.stdev(data)<\/p>\n
print(f"Sample Standard Deviation: {sample_std_dev}")<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u8fd9\u4e2a\u65b9\u6cd5\u975e\u5e38\u76f4\u89c2\uff0c\u9002\u5408\u5904\u7406\u8f83\u5c0f\u7684\u6570\u636e\u96c6\uff0c\u56e0\u4e3a\u5b83\u7684\u8ba1\u7b97\u6548\u7387\u53ef\u80fd\u4e0d\u5982Numpy\u548cPandas\u3002<\/p>\n<\/p>\n
\u4e8c\u3001\u4f7f\u7528Numpy\u5e93<\/h3>\n<\/p>\n
Numpy\u5e93\u662fPython\u4e2d\u4e00\u4e2a\u5f3a\u5927\u7684\u6570\u503c\u8ba1\u7b97\u5e93\uff0c\u7279\u522b\u9002\u7528\u4e8e\u5904\u7406\u5927\u578b\u6570\u636e\u96c6\u3002\u8981\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\uff0c\u53ef\u4ee5\u4f7f\u7528numpy.std()<\/code>\u65b9\u6cd5\uff0c\u5e76\u8bbe\u7f6eddof=1<\/code>\u6765\u8868\u793a\u6837\u672c\u6807\u51c6\u5dee\u3002<\/p>\n<\/p>\n
import numpy as np<\/p>\n
data = [10, 20, 30, 40, 50]<\/p>\n
sample_std_dev = np.std(data, ddof=1)<\/p>\n
print(f"Sample Standard Deviation: {sample_std_dev}")<\/p>\n
<\/code><\/pre>\n<\/p>\n
Numpy\u5e93\u7684\u8ba1\u7b97\u6548\u7387\u9ad8\u3001\u9002\u7528\u4e8e\u5904\u7406\u5927\u89c4\u6a21\u6570\u636e\u96c6<\/strong>\u3002\u6b64\u5916\uff0cNumpy\u8fd8\u63d0\u4f9b\u4e86\u8bb8\u591a\u5176\u4ed6\u6570\u503c\u8ba1\u7b97\u51fd\u6570\uff0c\u5bf9\u4e8e\u79d1\u5b66\u8ba1\u7b97\u975e\u5e38\u6709\u7528\u3002<\/p>\n<\/p>\n
\u4e09\u3001\u4f7f\u7528Pandas\u5e93<\/h3>\n<\/p>\n
Pandas\u5e93\u662f\u4e00\u4e2a\u5f3a\u5927\u7684\u6570\u636e\u5206\u6790\u5e93\uff0c\u5c24\u5176\u9002\u7528\u4e8e\u5904\u7406\u7ed3\u6784\u5316\u6570\u636e\u3002\u8981\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\uff0c\u53ef\u4ee5\u4f7f\u7528pandas.Series.std()<\/code>\u65b9\u6cd5\u3002<\/p>\n<\/p>\n
import pandas as pd<\/p>\n
data = [10, 20, 30, 40, 50]<\/p>\n
series = pd.Series(data)<\/p>\n
sample_std_dev = series.std()<\/p>\n
print(f"Sample Standard Deviation: {sample_std_dev}")<\/p>\n
<\/code><\/pre>\n<\/p>\n
Pandas\u5e93\u5728\u5904\u7406\u6570\u636e\u6846\u548c\u65f6\u95f4\u5e8f\u5217\u6570\u636e\u65b9\u9762\u975e\u5e38\u5f3a\u5927<\/strong>\uff0c\u9002\u7528\u4e8e\u5404\u79cd\u6570\u636e\u5206\u6790\u4efb\u52a1\u3002<\/p>\n<\/p>\n
\u56db\u3001\u6837\u672c\u6807\u51c6\u5dee\u7684\u8ba1\u7b97\u516c\u5f0f<\/h3>\n<\/p>\n
\u4e3a\u4e86\u66f4\u597d\u5730\u7406\u89e3\u6837\u672c\u6807\u51c6\u5dee\u7684\u8ba1\u7b97\u65b9\u6cd5\uff0c\u4e86\u89e3\u5176\u516c\u5f0f\u662f\u975e\u5e38\u91cd\u8981\u7684\u3002\u6837\u672c\u6807\u51c6\u5dee\u7684\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n<\/p>\n
[ s = \\sqrt{\\frac{1}{n-1} \\sum_{i=1}^{n} (x_i – \\bar{x})^2} ]<\/p>\n<\/p>\n
\u5176\u4e2d\uff1a<\/p>\n<\/p>\n
    \n
  • ( s ) \u662f\u6837\u672c\u6807\u51c6\u5dee<\/li>\n
  • ( n ) \u662f\u6837\u672c\u6570\u91cf<\/li>\n
  • ( x_i ) \u662f\u6837\u672c\u6570\u636e<\/li>\n
  • ( \\bar{x} ) \u662f\u6837\u672c\u5747\u503c<\/li>\n<\/ul>\n
    \u8fd9\u4e2a\u516c\u5f0f\u8868\u793a\u6240\u6709\u6837\u672c\u6570\u636e\u4e0e\u6837\u672c\u5747\u503c\u7684\u5dee\u7684\u5e73\u65b9\u7684\u5e73\u5747\u503c\u7684\u5e73\u65b9\u6839\u3002\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\u7684\u5173\u952e\u6b65\u9aa4\u662f\u8ba1\u7b97\u6bcf\u4e2a\u6837\u672c\u6570\u636e\u4e0e\u6837\u672c\u5747\u503c\u7684\u5dee\u7684\u5e73\u65b9\uff0c\u7136\u540e\u6c42\u8fd9\u4e9b\u5dee\u7684\u5e73\u65b9\u7684\u5e73\u5747\u503c\uff0c\u6700\u540e\u53d6\u5e73\u5747\u503c\u7684\u5e73\u65b9\u6839\u3002<\/p>\n<\/p>\n
    \u4e94\u3001\u6837\u672c\u6807\u51c6\u5dee\u7684\u5e94\u7528<\/h3>\n<\/p>\n
    \u6837\u672c\u6807\u51c6\u5dee\u5728\u6570\u636e\u5206\u6790\u4e2d\u6709\u5e7f\u6cdb\u7684\u5e94\u7528\uff0c\u5b83\u53ef\u4ee5\u8861\u91cf\u6570\u636e\u7684\u79bb\u6563\u7a0b\u5ea6\u3002\u9ad8\u6837\u672c\u6807\u51c6\u5dee\u8868\u793a\u6570\u636e\u5206\u5e03\u8f83\u5e7f\uff0c\u800c\u4f4e\u6837\u672c\u6807\u51c6\u5dee\u8868\u793a\u6570\u636e\u5206\u5e03\u8f83\u96c6\u4e2d\u3002\u4f8b\u5982\uff0c\u5728\u91d1\u878d\u9886\u57df\uff0c\u6837\u672c\u6807\u51c6\u5dee\u53ef\u4ee5\u7528\u6765\u8861\u91cf\u80a1\u7968\u4ef7\u683c\u7684\u6ce2\u52a8\u6027\uff1b\u5728\u8d28\u91cf\u63a7\u5236\u4e2d\uff0c\u6837\u672c\u6807\u51c6\u5dee\u53ef\u4ee5\u7528\u6765\u8bc4\u4f30\u751f\u4ea7\u8fc7\u7a0b\u7684\u7a33\u5b9a\u6027\u3002<\/p>\n<\/p>\n
    \u516d\u3001\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\u7684\u6ce8\u610f\u4e8b\u9879<\/h3>\n<\/p>\n
    \u5728\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\u65f6\uff0c\u9700\u8981\u6ce8\u610f\u4ee5\u4e0b\u51e0\u70b9\uff1a<\/p>\n<\/p>\n
      \n
    1. \u6837\u672c\u5927\u5c0f<\/strong>\uff1a\u6837\u672c\u6807\u51c6\u5dee\u7684\u8ba1\u7b97\u516c\u5f0f\u4e2d\u6709\u4e00\u4e2a\u81ea\u7531\u5ea6\u53c2\u6570\uff08ddof<\/code>\uff09\uff0c\u901a\u5e38\u8bbe\u7f6e\u4e3a1\uff0c\u4ee5\u4fdd\u8bc1\u8ba1\u7b97\u7ed3\u679c\u7684\u65e0\u504f\u6027\u3002<\/li>\n
    2. \u6570\u636e\u7c7b\u578b<\/strong>\uff1a\u786e\u4fdd\u6570\u636e\u7c7b\u578b\u4e3a\u6570\u503c\u7c7b\u578b\uff0c\u907f\u514d\u6570\u636e\u7c7b\u578b\u4e0d\u5339\u914d\u5bfc\u81f4\u7684\u8ba1\u7b97\u9519\u8bef\u3002<\/li>\n
    3. \u7f3a\u5931\u6570\u636e<\/strong>\uff1a\u5728\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\u65f6\uff0c\u7f3a\u5931\u6570\u636e\u53ef\u80fd\u4f1a\u5f71\u54cd\u8ba1\u7b97\u7ed3\u679c\u3002\u53ef\u4ee5\u4f7f\u7528Pandas\u5e93\u63d0\u4f9b\u7684\u65b9\u6cd5\u5904\u7406\u7f3a\u5931\u6570\u636e\uff0c\u4f8b\u5982dropna()<\/code>\u65b9\u6cd5\u3002<\/li>\n<\/ol>\n
      \u4e03\u3001\u5b9e\u9645\u5e94\u7528\u4e2d\u7684\u793a\u4f8b<\/h3>\n<\/p>\n
      \u4e0b\u9762\u662f\u4e00\u4e2a\u5b9e\u9645\u5e94\u7528\u4e2d\u7684\u793a\u4f8b\uff0c\u5c55\u793a\u5982\u4f55\u4f7f\u7528Pandas\u5e93\u8ba1\u7b97\u80a1\u7968\u4ef7\u683c\u7684\u6837\u672c\u6807\u51c6\u5dee\u3002<\/p>\n<\/p>\n
      import pandas as pd<\/p>\n
      \u521b\u5efa\u4e00\u4e2a\u5305\u542b\u80a1\u7968\u4ef7\u683c\u7684\u6570\u636e\u6846<\/strong><\/h2>\n
      data = {<\/p>\n
          'Date': ['2021-01-01', '2021-01-02', '2021-01-03', '2021-01-04', '2021-01-05'],<\/p>\n
          'Price': [100, 102, 101, 105, 104]<\/p>\n
      }<\/p>\n
      df = pd.DataFrame(data)<\/p>\n
      \u8ba1\u7b97\u80a1\u7968\u4ef7\u683c\u7684\u6837\u672c\u6807\u51c6\u5dee<\/strong><\/h2>\n
      sample_std_dev = df['Price'].std()<\/p>\n
      print(f"Sample Standard Deviation of Stock Prices: {sample_std_dev}")<\/p>\n
      <\/code><\/pre>\n<\/p>\n
      \u8fd9\u4e2a\u793a\u4f8b\u5c55\u793a\u4e86\u5982\u4f55\u4f7f\u7528Pandas\u5e93\u8ba1\u7b97\u80a1\u7968\u4ef7\u683c\u7684\u6837\u672c\u6807\u51c6\u5dee\u3002\u9996\u5148\u521b\u5efa\u4e00\u4e2a\u5305\u542b\u80a1\u7968\u4ef7\u683c\u7684\u6570\u636e\u6846\uff0c\u7136\u540e\u4f7f\u7528std()<\/code>\u65b9\u6cd5\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\u3002\u8fd9\u4e2a\u8fc7\u7a0b\u975e\u5e38\u7b80\u5355\uff0c\u9002\u7528\u4e8e\u5404\u79cd\u6570\u636e\u5206\u6790\u4efb\u52a1\u3002<\/p>\n<\/p>\n
      \u516b\u3001\u603b\u7ed3<\/h3>\n<\/p>\n
      \u5728\u8fd9\u7bc7\u6587\u7ae0\u4e2d\uff0c\u6211\u4eec\u8be6\u7ec6\u4ecb\u7ecd\u4e86Python\u4e2d\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\u7684\u4e09\u79cd\u65b9\u6cd5\uff1a\u4f7f\u7528\u5185\u7f6e\u7684\u7edf\u8ba1\u5e93\u3001Numpy\u5e93\u3001Pandas\u5e93<\/strong>\u3002\u6bcf\u79cd\u65b9\u6cd5\u90fd\u6709\u5176\u4f18\u7f3a\u70b9\uff0c\u9002\u7528\u4e8e\u4e0d\u540c\u7684\u5e94\u7528\u573a\u666f\u3002\u901a\u8fc7\u7406\u89e3\u6837\u672c\u6807\u51c6\u5dee\u7684\u8ba1\u7b97\u516c\u5f0f\u548c\u5b9e\u9645\u5e94\u7528\uff0c\u53ef\u4ee5\u66f4\u597d\u5730\u5e94\u7528\u6837\u672c\u6807\u51c6\u5dee\u8fdb\u884c\u6570\u636e\u5206\u6790\u3002\u5e0c\u671b\u8fd9\u7bc7\u6587\u7ae0\u5bf9\u4f60\u6709\u6240\u5e2e\u52a9\uff0c\u80fd\u591f\u5e2e\u52a9\u4f60\u5728\u6570\u636e\u5206\u6790\u4e2d\u66f4\u597d\u5730\u4f7f\u7528\u6837\u672c\u6807\u51c6\u5dee\u3002<\/p>\n<\/p>\n
      \u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n
       \u5982\u4f55\u5728Python\u4e2d\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\uff1f<\/strong>
      \u5728Python\u4e2d\uff0c\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\u53ef\u4ee5\u4f7f\u7528\u5185\u7f6e\u7684statistics<\/code>\u6a21\u5757\u4e2d\u7684stdev()<\/code>\u51fd\u6570\u3002\u9996\u5148\uff0c\u9700\u8981\u5bfc\u5165\u8be5\u6a21\u5757\uff0c\u7136\u540e\u5c06\u4f60\u7684\u6570\u636e\u4f5c\u4e3a\u5217\u8868\u4f20\u9012\u7ed9stdev()<\/code>\u51fd\u6570\u3002\u793a\u4f8b\u4ee3\u7801\u5982\u4e0b\uff1a  <\/p>\n
      import statistics\n\ndata = [10, 20, 30, 40, 50]\nsample_std_dev = statistics.stdev(data)\nprint(sample_std_dev)\n<\/code><\/pre>\n
      \u8fd9\u6837\u5c31\u80fd\u5f97\u5230\u6837\u672c\u6807\u51c6\u5dee\u7684\u503c\u3002<\/p>\n
      \u5728\u4f7f\u7528NumPy\u5e93\u65f6\uff0c\u5982\u4f55\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\uff1f<\/strong>
      \u5982\u679c\u4f60\u5728\u4f7f\u7528NumPy\u5e93\uff0c\u53ef\u4ee5\u5229\u7528numpy.std()<\/code>\u51fd\u6570\u6765\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\u3002\u4f7f\u7528\u65f6\uff0c\u9700\u8bbe\u5b9a\u53c2\u6570ddof=1<\/code>\u4ee5\u786e\u4fdd\u8ba1\u7b97\u7684\u662f\u6837\u672c\u6807\u51c6\u5dee\u800c\u975e\u603b\u4f53\u6807\u51c6\u5dee\u3002\u793a\u4f8b\u4ee3\u7801\u5982\u4e0b\uff1a  <\/p>\n
      import numpy as np\n\ndata = np.array([10, 20, 30, 40, 50])\nsample_std_dev = np.std(data, ddof=1)\nprint(sample_std_dev)\n<\/code><\/pre>\n
      \u8fd9\u79cd\u65b9\u5f0f\u975e\u5e38\u9002\u5408\u5904\u7406\u5927\u578b\u6570\u636e\u96c6\u3002<\/p>\n
      \u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\u65f6\uff0c\u5982\u4f55\u5904\u7406\u7f3a\u5931\u503c\uff1f<\/strong>
      \u5728\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\u65f6\uff0c\u7f3a\u5931\u503c\u53ef\u80fd\u4f1a\u5f71\u54cd\u7ed3\u679c\u3002\u53ef\u4ee5\u9009\u62e9\u5728\u8ba1\u7b97\u4e4b\u524d\u5148\u5bf9\u6570\u636e\u8fdb\u884c\u6e05\u6d17\uff0c\u53bb\u6389\u7f3a\u5931\u503c\u3002\u4f7f\u7528Pandas\u5e93\u53ef\u4ee5\u7b80\u5355\u5b9e\u73b0\u8fd9\u4e00\u70b9\u3002\u793a\u4f8b\u4ee3\u7801\u5982\u4e0b\uff1a  <\/p>\n
      import pandas as pd\n\ndata = pd.Series([10, 20, None, 40, 50])\nsample_std_dev = data.dropna().std()\nprint(sample_std_dev)\n<\/code><\/pre>\n
      \u8fd9\u79cd\u65b9\u6cd5\u786e\u4fdd\u4e86\u5728\u8ba1\u7b97\u65f6\u53ea\u4f7f\u7528\u6709\u6548\u7684\u6570\u636e\uff0c\u4ece\u800c\u83b7\u5f97\u51c6\u786e\u7684\u6837\u672c\u6807\u51c6\u5dee\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u5728Python\u4e2d\u8ba1\u7b97\u6837\u672c\u6807\u51c6\u5dee\uff0c\u53ef\u4ee5\u4f7f\u7528\u5185\u7f6e\u7684\u7edf\u8ba1\u5e93\u3001Numpy\u5e93\u3001Pandas\u5e93\u3002\u4f7f\u7528\u5185\u7f6e\u7684\u7edf\u8ba1\u5e93\u8f83\u4e3a\u7b80\u5355\uff0c […]","protected":false},"author":3,"featured_media":1097278,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[37],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1097274"}],"collection":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/comments?post=1097274"}],"version-history":[{"count":"1","href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1097274\/revisions"}],"predecessor-version":[{"id":1097279,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1097274\/revisions\/1097279"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/1097278"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=1097274"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=1097274"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=1097274"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}