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老马 · 2021年10月29日

b项为什么错了?

NO.PZ2018062016000051

问题如下:

Having collected mean returns for the three stocks, the analyst is now concerned about evaluating dispersion.Which of the following statements is least accurate?

选项:

A.

Based on the variance,Stock A has the highest dispersion.

B.

Based on the range,Stock C has the lowest dispersion.

C.

Based on the mean absolute deviation(MAD),Stock B has the highest dispersion.

解释:

C is correct.

MAD(A)=(|-39-2.4|+|31-2.4|+|12-2.4|+|-4-2.4|+|12-2.4|)/5=19.12

MAD(B)=(|-35-4.4|+|25-4.4|+|15-4.4|+|0-4.4|+|17-4.4|)/5=17.52

MAD(C)=(|6-2|+|-8-2|+|11-2|+|-2-2|+|3-2|)/5=5.6

Based on the MAD,Stock A has the highest dispersion.

B也是对的啊,为什么错了

2 个答案

袁园_品职助教 · 2022年06月05日

嗨,努力学习的PZer你好:


衡量离散程度的指标是Range,Range=最大值-最小值。Range A=31-(-39)=70;Range B=25-(-35)=60;Range C=11-(-8)=19。可以看处Stock C的range最小,B选项描述正确。Range这个指标不需要观察值是连续的,离散的也可以的

----------------------------------------------
努力的时光都是限量版,加油!

星星_品职助教 · 2021年10月30日

同学你好,

B的描述无误,计算出C的range确实三项中最小。

这道题要选择“ least accurate”

Viola欧拉 · 2022年06月03日

老师可以再进一步解释一下这里的Range是什么含义吗?就是指在2013-2017这个时间范围内的观察值吗?因为之前讲 Measures of dispersion 里面,Range我感觉是一个最大值减去最小值,而观察值应该是连续的,所以我第一个就排除了B,因为看起来这个选项是在混淆视听的。所以Range的用法和概念可以再解释一下吗?谢谢

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