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13995173783 · 2023年06月08日

x standardized计算问题提问

NO.PZ2020010302000009

问题如下:

Consider the following data on a discrete random variable X:

a. Calculate the mean and variance of X.

b. Standardize X and check that the mean and variance of X are 0 and 1 respectively.

c. Calculate the skew and kurtosis of X.

选项:

解释:

a. The mean is -0.803 and the variance is 6.762.

b.



c.



Hence, the skew of X is -0.581 and the kurtosis of X is 2.773.








x standardized

是什么意思?为啥表格下面variance的x standardized也是1?

1 个答案

DD仔_品职助教 · 2023年06月08日

嗨,从没放弃的小努力你好:


同学你好,

Xstandardised叫做标准化,含义是将一个均值和方差任意的正态分布,对应成均值=0,方差=1的标准正态分布。因为分布的目的是想到得出概率,而正态分布可以根据均值和方差的不同有千千万万种,为了方便起见,就对于这些任意的正态分布进行标准化,都归正成为对峙=0,方差=1的标准正态分布,这样的话只需要准备一张标准正态的分布概率表,就可以查询任意分布的概率了。

variance就是方差,所以标准化的方差=1.


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