4MA0 Foundation June 2014 Paper 2 Q24
24 The table shows information about the times, in minutes, taken by 50 people to get to work.
| Time taken (\(t\) minutes) | Frequency |
|---|---|
| \(0 \lt t \leqslant 10\) | 6 |
| \(10 \lt t \leqslant 20\) | 10 |
| \(20 \lt t \leqslant 30\) | 19 |
| \(30 \lt t \leqslant 40\) | 15 |
Work out an estimate for the mean time taken to get to work.
(4)
| Scheme | Marks |
|---|---|
| (6×5) + (10×15) + (19×25) + (15×35) | M2 |
| "1180" ÷ 50 | M1 |
| 23.6 | A1 |
| (4) | |
| (4 marks) |
Notes
M2: All product, t × f using mid-points correctly and intention to add
Award M1 if all products t × f using their mid-points consistently and intention to add OR 3 correct products correctly stated or evaluated
M1: (dep on at least M1)
“1180” denotes ft from sum of their products
A1: Accept 24 with working (24 without working gains M0A0)