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June 2012 p62 q4
2495
The back-to-back stem-and-leaf diagram shows the values taken by two variables A and B.
| A | B | |||
|---|---|---|---|---|
| (3) | 3 1 0 | 15 | 1 3 3 5 | (4) |
| (2) | 4 1 | 16 | 2 2 3 4 4 5 7 7 8 | (10) |
| (3) | 8 3 3 | 17 | 0 1 3 3 3 4 6 6 7 9 9 | (11) |
| (12) | 9 8 8 6 5 5 4 3 2 1 1 0 | 18 | 2 4 7 | (3) |
| (8) | 9 9 8 8 6 5 4 2 | 19 | 1 5 | (2) |
| (5) | 9 8 7 1 0 | 20 | 4 | (1) |
Key: \(4 \mid 16 \mid 7\) means \(A = 0.164\) and \(B = 0.167\).
- Find the median and the interquartile range for variable A.
- You are given that, for variable B, the median is 0.171, the upper quartile is 0.179 and the lower quartile is 0.164. Draw box-and-whisker plots for A and B in a single diagram on graph paper.
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