1992 AMC 8 第 13 题
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13.
五个考试分数的平均数是 ，中位数是 ，众数是 。最低的两个考试分数之和是
Five test scores have a mean (average score) of a median (middle score) of and a mode (most frequent score) of The sum of the two lowest test scores is
由已给信息无法确定
not determined by the information given
小提示：
五个分数总和为 ，中间的分数是 。
The five scores add up to and the middle score is
大提示：
众数 至少出现两次，而且这两个分数都必须不低于中位数，所以三个最高分是 、、。
The mode must appear at least twice, and both copies must be at or above the median, so the three highest scores are and
解答：
五个分数总和为 。中位数是第三个分数 。因为 是众数，它至少出现两次，且这两次都在中位数以上，所以最高两个分数分别是 和 。
三个最高分是 、、，和为 。因此最低两个分数之和是 。
所以正确答案是 B。
The five scores sum to The median is the third score, Since is the mode, it must appear at least twice, and both copies lie above the median, so the two highest scores are and
The three highest scores are and summing to So the two lowest sum to
Thus, the correct answer is B .
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