9709 P62 - Nov 2015 - Q5
2368
The weights, in kilograms, of the 15 rugby players in each of two teams, A and B, are shown below.
| Team A | 97 | 98 | 104 | 84 | 100 | 109 | 115 | 99 | 122 | 82 | 116 | 96 | 84 | 107 | 91 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Team B | 75 | 79 | 94 | 101 | 96 | 77 | 111 | 108 | 83 | 84 | 86 | 115 | 82 | 113 | 95 |
- Represent the data by drawing a back-to-back stem-and-leaf diagram with team A on the left-hand side of the diagram and team B on the right-hand side.
- Find the interquartile range of the weights of the players in team A.
- A new player joins team B as a substitute. The mean weight of the 16 players in team B is now \(93.9\ \text{kg}\). Find the weight of the new player.
