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The median of five people’s (A, B, C, D and E) salary is 20,000 and the range of them is no more than 50,000. If the salary of A
The median of five people’s (A, B, C, D and E) salary is 20,000 and the range of them is no more than 50,000. If the salary of A
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2021-10-21
66
问题
The median of five people’s (A, B, C, D and E) salary is 20,000 and the range of them is no more than 50,000. If the salary of A, B, C is 20,000, 40,000 and 50,000 respectively, which of the following could be the mean of five people’s salary?
选项
A、21,200
B、19,000
C、42,300
D、26,000
E、31,500
答案
D
解析
5个人薪水的中数是20,000,而且已知A,B,C的薪水分别是20,000,40,000,50,000,那么D和E的薪水一定小于20,000;5个人薪水的range是50,000,这就限定了薪水不会是负数,所以他们薪水的mean小于:(20,000×3+40,000+50,000)=30,000,同时这个mean又大于(20,000+40,000+50,000)=22,000,因此选择D。
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