4MA0 Foundation January 2014 Paper 2R Q19
19 Loma grows tomatoes in her garden.
The table shows information about the weights, in grams, of some of her tomatoes.
| Weight of tomato (\(w\) grams) | Number of tomatoes |
|---|---|
| \(0 \lt w \leqslant 10\) | 2 |
| \(10 \lt w \leqslant 20\) | 8 |
| \(20 \lt w \leqslant 30\) | 16 |
| \(30 \lt w \leqslant 40\) | 10 |
| \(40 \lt w \leqslant 50\) | 4 |
Work out an estimate for the total weight of these tomatoes.
(3)
| Scheme | Marks |
|---|---|
| (2 × 5) + (8 × 15) + (16 × 25) + (10 × 35) + (4 × 45) | M2 |
| 1060 | A1 |
| (3) | |
| (Total 3 marks) |
Notes
M2: freq × all correct midpoint values stated or evaluated {do not have to see intention to add}
if not M2 then M1 for freq × consistent point in each interval (f × x = 860 or 1260 start & end points)
or M1 for 1 error in list of 10, 120, 400, 350, 180
or M1 for 4 correct products stated
A1: isw if 1060 calculated correctly