数据比较练习题 - 掌握多组数据对比分析
以下是4道综合练习题，涵盖箱线图、茎叶图、统计量的对比分析。
The box plots below show the distribution of speeds of cars on two motorways.
Compare the distributions of the speeds on the two motorways.
解答过程：
Two classes of primary school children complete a puzzle. Summary statistics for the times the children took, in minutes, are shown in the table.
| \( n \) | \( \Sigma x \) | \( \Sigma x^2 \) | |
|---|---|---|---|
| Class 2B | 20 | 650 | 22000 |
| Class 2F | 22 | 598 | 19100 |
Calculate the mean and standard deviation of the times and compare the distributions.
解答过程：
Class 2B统计量计算：
Class 2F统计量计算：
对比分析：
The stem and leaf diagram below shows the age, in years, of the members of a sports club.
| Male | Stem | Female |
|---|---|---|
| 8 8 7 6 | 1 | 6 6 6 7 7 8 8 9 |
| 7 6 5 5 3 3 2 1 | 2 | 1 3 3 4 5 7 8 8 9 9 |
| 9 8 4 4 3 | 3 | 2 3 3 4 7 |
| 5 2 1 | 4 | 0 1 8 |
| 9 0 | 5 | 0 |
Key: 1|4|0 represents a male aged 41 and a female aged 40
a) Find the median and interquartile range for the males.
b) The median and interquartile ranges for the females are 27 and 15 respectively. Make two comparisons between the ages of the males and females.
解答过程：
a) 男性年龄统计量：
男性年龄升序：16,17,18,18,21,22,23,23,25,25,26,27,33,34,34,38,39,41,42,45,50,59（共22人）
b) 男女年龄对比：
In the box plots here, the marks for a group of students taking their Mathematics exam for the first time are shown on the top. The marks for a group of students who are retaking their Mathematics exam are shown on the bottom.
Compare and contrast the marks between the two groups taking the exam. (3 marks)
解答过程：