4MA0 Foundation June 2011 Paper 1 Q21
21 The table shows information about the weights of 80 parcels.
| Weight (\(w\) kg) | Frequency |
|---|---|
| \(0 \lt w \leqslant 2\) | 8 |
| \(2 \lt w \leqslant 4\) | 14 |
| \(4 \lt w \leqslant 6\) | 26 |
| \(6 \lt w \leqslant 8\) | 17 |
| \(8 \lt w \leqslant 10\) | 10 |
| \(10 \lt w \leqslant 12\) | 5 |
Work out an estimate for the total weight of the 80 parcels.
(3)
| Scheme | Marks |
|---|---|
| 1 × 8 + 3 × 14 + 5 × 26 + 7 × 17 + 9 × 10 + 11 × 5 or 8 + 42 + 130 + 119 + 90 + 55 | M1 M1 |
| 444 | A1 |
| (3) | |
| (Total 3 marks) |
Notes
M1
M1: for finding at least four products \(f \times x\) consistently within intervals (inc end points) and summing them
(dep) for use of halfway values
A1: cao