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?
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