AMC 8 1992 Problem 13

AMC8 1992 年第 13 题

统计与数据图表★★★☆☆

Five test scores have a mean (average score) of 90 , a median (middle score) of 91 and a mode (most frequent score) of 94 . The sum of the two lowest test scores is

五次考试成绩的平均数为 90，中位数为 91，众数为 94。两个最低成绩之和是

A.170
B.171
C.176
D.177
E. $\text{not determined by the information given}$ / 无法由所给信息确定

正确答案 · Correct Answer

解析 · Solution

Solution 1

Because there was an odd number of scores, 91 must be the middle score. Since there are two scores above 91 and 94 appears the most frequent (so at least twice) and 94>91, 94 appears twice. Also, the sum of the five numbers is 90×5 =450. Thus, the sum of the lowest two scores is

450-91-94-94= \text{(B)171}

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