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标准偏差怎么算

2021.11.05
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超级艾蛋木啊

致力于为分析测试行业奉献终身

样本标准偏差 8b13632762d0f703e34c0eab05fa513d2797c5cf?x-bce-process%3Dimage%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_jpg ， 09fa513d269759ee4a6cfabcbffb43166d22df8d?x-bce-process%3Dimage%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_jpg 代表所采用的样本X1,X2,...,Xn的均值。

总体标准偏差 503d269759ee3d6d2c381cbc4e166d224e4adecf?x-bce-process%3Dimage%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_jpg ， 4d086e061d950a7b64cbd5b307d162d9f3d3c9cf?x-bce-process%3Dimage%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_jpg 代表总体X的均值。

例：有一组数字分别是200、50、100、200，求它们的样本标准偏差。

241f95cad1c8a78636a4d1796a09c93d70cf503f?x-bce-process%3Dimage%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_jpg = (200+50+100+200)/4 = 550/4 = 137.5

4034970a304e251f69797f8faa86c9177f3e533f?x-bce-process%3Dimage%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_jpg = [(200-137.5)^2+(50-137.5)^2+(100-137.5)^2+(200-137.5)^2]/(4-1)

样本标准偏差 S = Sqrt(S^2)=75

f703738da9773912ff4f1f16f5198618367ae258?x-bce-process%3Dimage%2Fresize%2Cm_lfit%2Cw_600%2Ch_800%2Climit_1%2Fquality%2Cq_85%2Fformat%2Cf_jpg


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