6 Teams of 15 runners took part in a charity run last Saturday. The times taken, in minutes, to complete the course by the runners from the Falcons and the runners from the Kites are shown in the table.
| Falcons | 38 | 39 | 42 | 44 | 46 | 48 | 50 | 51 | 52 | 56 | 58 | 59 | 64 | 69 | 76 |
| Kites | 32 | 40 | 40 | 45 | 47 | 48 | 52 | 54 | 58 | 59 | 59 | 60 | 61 | 63 | 65 |
- Draw a back-to-back stem-and-leaf diagram to represent this information, with the Falcons on the left-hand side.
- Find the median and the interquartile range of the times for the Falcons.
Let \(x\) and \(y\) denote the times, in minutes, of a runner from the Falcons and a runner from the Kites respectively.
It is given that
$$\sum x = 792 , \quad \sum x ^ { 2 } = 43504 , \quad \sum y = 783 , \quad \sum y ^ { 2 } = 42223 .$$ - Find the mean and the standard deviation of the times taken by all 30 runners from the two teams.