AMC 8 2015 Problem 5
AMC8 2015 年第 5 题
统计与数据图表★★☆☆☆
Billy's basketball team scored the following points over the course of the first 11 games of the season:
If his team scores 40 in the game, which of the following statistics will show an increase?
Billy 的篮球队在本季度前 11 场比赛中的得分分别是:42, 47, 53, 53, 58, 58, 58, 61, 64, 65, 73。若他的篮球队在第 12 场比赛中得到 40 分,那么下面哪个统计数据会升高?
- A. / 极差
- B. / 中位数
- C. / 平均值
- D. / 众数
- E. / 中程数
正确答案 · Correct Answer
A
解析 · Solution
Solution 1
When they score a 40 on the next game, the range increases from 73-42=31 to 73-40=33. This means the increased.
Because 40 is less than the score of every game they've played so far, the measures of center will never rise. Only measures of spread, such as the $
~\text{range}$, may increase.
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