对某被测件进行了4次测量,测量数据为:0.02 g,0.05 g,0.04 g,0.06 g。请用极差法估算实验标准偏差。

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问题 对某被测件进行了4次测量,测量数据为:0.02 g,0.05 g,0.04 g,0.06 g。请用极差法估算实验标准偏差。

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答案计算步骤如下: (1)计算极差:R=xmax一xmin=0.06 g-0.02 g=0.04 g; (2)查表3—2得Cn值:n=4,Cn=2.06; (3)计算实验标准偏差s(x)=(xmax一xmin)/Cn=0.04 g/2.06=0.02 g(自由度v=2.7)。

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