2008 AMC 8 第 10 题

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所有题目均经美国数学协会(MAA)官方合法授权使用。

10.

A 房间里 66 个人的平均年龄是 4040。B 房间里 44 个人的平均年龄是 2525。如果把两组人合在一起,所有人的平均年龄是多少?

The average age of the 66 people in Room A is 40.40. The average age of the 44 people in Room B is 25.25. If the two groups are combined, what is the average age of all the people?

 32.5\ 32.5

 33\ 33

 33.5\ 33.5

 34\ 34

 35\ 35

答案:D
知识点:平均数
难度评级:960
解答:

A 房间的年龄总和为 640=240.6\cdot 40 = 240.

B 房间的年龄总和为 425=100.4\cdot 25 = 100.

总和为 240+100=340.240+100 = 340.

因此平均年龄为 34010=34.\dfrac{340}{10} =34.

所以正确答案是 D

The sum of the ages in Room A is 640=240.6\cdot 40 = 240.

The sum of the ages in Room B is 425=100.4\cdot 25 = 100.

The total sum is 240+100=340.240+100 = 340.

The average is therefore 34010=34.\dfrac{340}{10} =34.

Thus, the answer is D .

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