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June 2023 p53 q4
2374
The times taken, in minutes, to complete a cycle race by 19 cyclists from each of two clubs, the Cheetahs and the Panthers, are represented in the following back-to-back stem-and-leaf diagram.
| Cheetahs | Panthers | |
|---|---|---|
| 9 8 | 7 | 4 |
| 8 7 3 2 0 | 8 | 6 8 |
| 9 8 7 | 9 | 1 7 8 8 9 9 |
| 6 5 3 3 | 10 | 2 3 4 4 5 6 |
| 9 8 2 | 11 | 1 2 8 |
| 4 | 12 | 0 6 |
Key: \( 7 \mid 9 \mid 1 \) means 97 minutes for Cheetahs and 91 minutes for Panthers.
(a) Find the median and the interquartile range of the times of the Cheetahs.
The median and interquartile range for the Panthers are 103 minutes and 14 minutes respectively.
(b) Make two comparisons between the times taken by the Cheetahs and the times taken by the Panthers.
Another cyclist, Kenny, from the Cheetahs also took part in the race. The mean time taken by the 20 cyclists from the Cheetahs was 99 minutes.
(c) Find the time taken by Kenny to complete the race.
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