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勇往直前 · 2021年12月16日

Mean,mode,median

NO.PZ2018062001000003

问题如下:

The characteristic of a return distribution is frequent small gains and several extreme losses. Which of the following options is correct?

选项:

A.

The distribution has a positive skewness, and the mean is greater than the median.

B.

The distribution has a negative skewness, and the mean is smaller than the median.

C.

The distribution has a positive skewness, and the mean is smaller than the median.

解释:

We define that a distribution with frequent small gains and a few extreme losses is a negative-skewed distribution.

The characteristics of a negative skewed distribution are:

  1. long tail on the left side and;
  2. mode > median > mean
老师可以画个图吗?我总是很难记住,左倾和右倾的图,这三个值的大小关系,老师可以分享一下记忆的方法吗?谢谢
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星星_品职助教 · 2021年12月16日

同学你好,

这个记忆方法和图像上课已经讲过:median总是在中间不变。只看mean就行。

右偏(相当于右边有一条长尾/极端值/several extreme gains)就是mean在右边;反之左偏就是mean在左边,左侧有extreme losses。

对应的另一边就是mode

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