Exam-Style Problem
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June 2023 p52 q3
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The following back-to-back stem-and-leaf diagram represents the monthly salaries, in dollars, of 27 employees at each of two companies, A and B.
| Company A | Company B | |
|---|---|---|
| 5 4 1 1 0 | 25 | 4 4 5 6 6 7 |
| 9 9 8 7 2 0 | 26 | 0 1 3 5 7 9 9 |
| 8 6 4 2 1 0 | 27 | 1 3 4 6 6 8 8 |
| 6 5 4 2 0 | 28 | 0 1 2 2 2 |
| 9 8 5 | 29 | |
| 1 | 30 | 9 |
Key: 1 | 27 | 6 means $2710 for company A and $2760 for company B.
(a) Find the median and the interquartile range of the monthly salaries of employees in company A.
The lower quartile, median and upper quartile for company B are $2600, $2690 and $2780 respectively.
(b) Draw two box-and-whisker plots in a single diagram to represent the information for the salaries of employees at companies A and B.
(c) Comment on whether the mean would be a more appropriate measure than the median for comparing the given information for the two companies.
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