Higher June 2018 Paper 1R Q2
2 The table gives information about the times, in hours, some students spent doing sport one week.
| Time (\(T\) hours) | Frequency |
|---|---|
| \(0 \lt T \leqslant 2\) | 5 |
| \(2 \lt T \leqslant 4\) | 9 |
| \(4 \lt T \leqslant 6\) | 24 |
| \(6 \lt T \leqslant 8\) | 40 |
| \(8 \lt T \leqslant 10\) | 7 |
Calculate an estimate for the mean time these students spent doing sport.
Give your answer in hours, correct to 1 decimal place.
(4)
| Scheme | Marks |
|---|---|
| 1 × 5 + 3 × 9 + 5 × 24 + 7 × 40 + 9 × 7 (= 495) or 5 + 27 + 120 + 280 + 63 (= 495) | M2 |
| “495” ÷ 85 | M1 |
| 5.8 | A1 |
| (4) | |
| (4 marks) |
Notes
M2: for at least 4 correct products added (need not be evaluated)
If not M2 then award
M1 for consistent use of value within interval (including end points) for at least 4 products which must be added
OR
correct mid-points used for at least 4 products and not added
M1: dep on at least M1
Allow division by their \(\sum f\) provided addition or total under column seen
A1: for 5.8 − 5.824