题目

While researching the hourly frequency of a certain occurrence, researchers determined that the mean number of occurrences per hour was 18 and the standard deviation of the number of occurrences per hour was 5. However, later, they discovered that the number of occurrences each hour had been undercounted by 3. What was the sum of the correct mean and standard deviation of the number of occurrences per hour?

选项

A.

20

B.

23

C.

26

D.

29

E.

Cannot be determined

解析

在研究某事件的每小时发生频率时,研究人员发现每小时发生次数的均值为18,标准差为5。但后来他们发现,每小时的发生次数都被少统计了3次。那么,每小时发生次数的正确均值与标准差之和是多少? 由于每小时的发生次数都少统计了3次,需给每个数据加3:均值会增加3,因此新均值为21;但给每个数据加同一个常数不会影响标准差,所以标准差仍为5。 因此,均值与标准差之和为\(21 + 5 = 26\) 答案是C
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