题目

The scores on a certain exam were 60, 75, 100, 70 and x. If the median score was 5 points lower than the average (arithmetic mean) score on the exam, which of the following could be x?

选项

A.

75

B.

80

C.

85

D.

90

E.

95

解析

先看可选的选项: \(x\)的取值范围看起来是\(75 \leq x \leq 95\) 选项: A. 75 B. 80 C. 85 D. 90 E. 95 所以\(x\)的位置是第4位,数列排列为:60,70,75,\(x\),100 该数列的中位数 = 75 已知中位数比平均数低5分,因此平均数 = 80 数列总和为:\(60 + 70 + 75 + x + 100 = 400\) 解得:\(x = 95\) 答案:E
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