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勇往直前 · 2021年12月16日

Mean,mode,median

  1. CFA I
  2. Quantitative

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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NO.PZ2018062001000003问题如下The characteristic of a return stribution is frequent small gains anseverextreme losses. Whiof the following options is correct?A.The stribution ha positive skewness, anthe meis greater ththe mean.B.The stribution ha negative skewness, anthe meis smaller ththe mean.C.The stribution ha positive skewness, anthe meis smaller ththe mean.We fine tha stribution with frequent small gains ana few extreme losses is a negative-skewestribution. The characteristiof a negative skewestribution are: long tail on the left si an mo me mepositive是mean比 mean大，negative不就是mean比mean小吗？

2024-09-12 16:04 2 · 回答

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2022-11-10 00:53 2 · 回答

NO.PZ2018062001000003 ...requent small gains ana few extreme losses这个描述的话，afew extreme loses 指的是左侧的细尾吗？

2021-11-14 15:52 1 · 回答

请问A和B是不是都是对的?感觉A和B表述刚好是相反的，如果B对，那A应该也是对的吧?麻烦老师一下，A为什么不对?

2018-10-24 23:20 2 · 回答