Higher June 2023 Paper 1 Q10
10.
(a) In an athletics club:
- 20 of the female athletes have a mean height of 170 cm
- 30 of the male athletes have a mean height of 180 cm.
(b) A boat crew has 8 rowers and a cox who steers.
The heights, in cm, of the 9 people in the crew are as follows.
Explain why the mean is not the best average to use for this data set. [1]
The heights, in cm, of the 9 people in the crew are as follows.
150 183 193 201 203 198 201 188 193
The mean of these heights is 190 cm.Explain why the mean is not the best average to use for this data set. [1]
| Scheme | Marks | Comments |
|---|---|---|
| 20 × 170 + 30 × 180 (= 8800) | M2 | M1 for either:
|
| ÷ 50 | m1 | dep on M2 |
| 176 (cm) | A1 | Award M3 for 20/50 x 170 + 30/50 x 180 oe. |
| Scheme | Marks | Comments |
|---|---|---|
Valid explanation e.g.
| E1 | |
| (5) |