题目
A charitable association sold an average of 66 raffle tickets per member. Among the female members, the average was 70 raffle tickets. The male to female ratio of the association is 1:2. What was the average number of tickets sold by the male members of the association
解析
这是一道加权平均题,快速解题的话,要记住公式是这样的:
\[
\frac{X(1) + 70(2)}{1+2} = 66
\]
不过不用这么死板!这是一道难度低于600分的题,实际计算也很简单,但会花时间,不如理解下面的思路:
**如果X的数量更多,加权平均数会更接近X**。
\(70 - 66 = 4\),我们有2个70,所以整体影响是+8——这就是X(女性)把平均数从Y(男性)拉低的幅度。因此,我们需要用这个数除以男性的数量,再从平均数中减去。
公式如下:
\[
66 - \frac{4×2}{1} = 66 - 8 = 58
\]
答案:C