AMC 8 2006 Problem 8
AMC8 2006 年第 8 题
统计与数据图表★★☆☆☆
The table shows some of the results of a survey by radiostation KACL. What percentage of the males surveyed listen to the station?
下表列出了广播电台 KAMC 的一项调查所得到的某些结果。被调查的男性中，收听广播的男性占比是多少？
- A.39
- B.48
- C.52
- D.55
- E.75
正确答案 · Correct Answer
E
解析 · Solution
Solution 1
Filling out the chart, it becomes
$\begin{array}{|c|c|c|c|}\hline & \text{Listen} & \text{Don't Listen} & \text{Total}\\ \hline \text{Males} & 78 & 26 & 104\\ \hline \text{Females} & 58 & 38 & 96\\ \hline \text{Total} & 136 & 64 & 200\\ \hline\end{array}
$ Thus, the percentage of males surveyed that listen to the station is $$.Instead of filling out the entire chart, you can find the number of male listeners which is 200 - 96 = 104. Since we know the fraction of males that don't listen to the station is , we know that the percent of males that DO listen is much larger than 50%, so the only answer is 75 %.
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