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尼克内姆 · 2019年12月09日

问一道题:NO.PZ2015120604000050

问题如下:

The table below shows the monthly stock returns of Ivy Corp.

According to the above table , calculate the population standard deviation for Ivy Corp. returns, assuming the population has 6 observations?

选项:

A.

8.78%.

B.

8.01%.

C.

48.06%.

解释:

B is correct

σ = σ 2 = p o p u l a t i o n v a r i a n c e

Population variance is 64.2 as calculated in previous question, thus population standard deviation is 8.01, the square root of 64.2.

计算器有两个结果:一个是Sx=8.77,一个是总体标准差8.01.请问,我并没有输入别的观察值,为什么计算器会自己得出一个总体标准差呢?

1 个答案

星星_品职助教 · 2019年12月09日

同学你好,

回忆一下样本标准差的公式,相当于分母除以了n-1,而总体标准差的分母除以的是n。

因为计算器并不知道输入的这一组数据是总体的数据还是样本的数据,所以就分别都会算出来供选择。这个过程中无论是算总体还是算估计量,都用的是你输入的X的一组值,这个不受影响。有调整的只是n。加油

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