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  3. The median of five people’s (A, B, C, D and E) salary is 20,000 and the range of

The median of five people’s (A, B, C, D and E) salary is 20,000 and the range of

游客2024-01-13  55
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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