根据右侧所示的饼图，吴太太对吴先生说，男司机的驾驶技术比女司机差。请解释为什么吴太太不应该做出这样的陈述。要得出男司机还是女司机驾驶技术更差的结论，什么才是更好的数学衡量指标？

统计图表误导性分析统计图表分析与解读统计图表简单推断表示为百分数 English

它不会直接告诉你答案，而是问你卡在哪一步看看 AI 是怎么陪你一步步弄懂这道题的

完整解法

13

1. Identify why the conclusion from the pie chart is not valid

The pie chart compares only the numbers of male and female drivers involved in accidents. It does not take into account the total number of male and female drivers. If there are more male drivers overall, a larger male sector does not necessarily mean male drivers are worse drivers.

2. State a better mathematical measure for comparison

Use accident rates or percentages within each gender:
$\text{accident rate for males}=\frac{\text{number of male drivers involved in accidents}}{\text{total number of male drivers}},$
$\text{accident rate for females}=\frac{\text{number of female drivers involved in accidents}}{\text{total number of female drivers}}.$

答案

Mrs Goh should not make the statement because the pie chart only shows the number of drivers involved in accidents by gender. It does not show the total number of male and female drivers, so there may simply be more male drivers. A better measure would be to compare the accident rate, for example
$\frac{\text{number of male drivers involved in accidents}}{\text{total number of male drivers}}\quad\text{and}\quad\frac{\text{number of female drivers involved in accidents}}{\text{total number of female drivers}}.$

AI 分析，可能出错

用 AI 批改，圈出写错的那一步，并自动将你的薄弱点存入错题本，形成你的错因库。

根据右侧所示的饼图，吴太太对吴先生说，男司机的驾驶技术比女司机差。请解释为什么吴太太不应该做出这样的陈述。要得出男司机还是女司机驾驶技术更差的结论，什么才是更好的数学衡量指标？

完整解法

13

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