A school in Bristol recorded, in a back-to-back stem and leaf diagram, the time (seconds) taken by 6 boys and 6 girls to complete a puzzle.
| Boys (leaf) | Stem | Girls (leaf) |
|---|
| 8 5 2 | 4 | 0 4 6 7 |
| 6 3 1 | 5 | 0 5 |
Key: for the boys, 4 | 2 means 42 seconds. For the girls, 4 | 0 means 40 seconds.
For the boys, the leaf closest to the stem is the smallest digit, so for stem 4 the boys' times are 42, 45 and 48 seconds.
(a)Work out the median completion time for the boys.(1)
(b)Work out the median completion time for the girls.(1)
(c)By comparing the medians and the ranges, state which group had the faster typical time and which group was more consistent. Give a reason for each answer.(2)
(Total for Question 9 is 4 marks)