9709 P52 - Jun 2026 - Q6 - 8 marks
9175
The heights, in cm, of the 15 rugby players in each of two teams, the Hippos and the Zebras, are shown in the following table.
| Team | Heights (cm) |
|---|---|
| Hippos | 165, 168, 172, 172, 176, 178, 181, 184, 185, 188, 188, 190, 191, 192, 195 |
| Zebras | 183, 192, 172, 167, 184, 189, 171, 194, 191, 179, 186, 182, 177, 175, 186 |
(a) Draw a back-to-back stem-and-leaf diagram to represent this information, with Hippos on the left-hand side. [4]
(b) Find the interquartile range of the heights of the players in the Hippos team. [2]
The player in the Hippos with height 184 cm is injured. A new player replaces him, and this causes the mean height of the 15 players in the team to increase by 0.5 cm.
(c) Find the height of the new player. [2]
