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胡馨梦 · 2021年03月06日

选项C

NO.PZ2017092702000150

问题如下:

Based on the table below, which of the following statements is correct?

Frequency Distributions of Sample Returns

选项:

A.

The relative frequency of Interval C is 15.

B.

The cumulative frequency of Interval D is 100%.

C.

The cumulative relative frequency of Interval C is 92.3%.

解释:

C is correct because the cumulative relative frequency of an interval tells us the fraction of all observations that are less than the upper limit of an interval. For Interval C, that would be (2 + 7 + 15)/26 = 92.3%.
A is incorrect because the relative frequency of an interval is the absolute frequency of that interval divided by the total number of observations, here 15/26 = 57.7%. The number 15 represents Interval C’s absolute frequency (also known as frequency), which is simply the actual number of observations in a given interval.
B is incorrect because the cumulative frequency tells us the number of observations that are less than the upper limit of a return interval, not the percentage of observations meeting that criteria. Because Interval D is the uppermost return interval, its cumulative frequency is the total number of observations for all intervals, yielding 2 + 7 + 15 + 2 = 26 and not 100%, which is the cumulative relative frequency for Interval D.


为什么不是15除以26 是不是问C这个范围发生的频率
1 个答案

星星_品职助教 · 2021年03月06日

同学你好,

“C这个范围发生的频率”如果用15/26计算,指的就是“relative frequency”。

但C选项说的是interval C的“cumulative relative frequency”,所以是累积的相对概率之和,也就是要把之前的全都加起来。所以是(2+7+15)/26