4MA0 Foundation June 2013 Paper 2 Q19
19 The table shows information about the amount of money, in dollars, spent in a shop in one day by 80 people.
| Money spent (\(x\) dollars) | Frequency |
|---|---|
| \(0 \lt x \leqslant 20\) | 24 |
| \(20 \lt x \leqslant 40\) | 20 |
| \(40 \lt x \leqslant 60\) | 9 |
| \(60 \lt x \leqslant 80\) | 12 |
| \(80 \lt x \leqslant 100\) | 15 |
Work out an estimate for the total amount of money spent in the shop that day.
(3)
| Scheme | Marks |
|---|---|
| \(10 \times 24,\ 30 \times 20,\ 50 \times 9,\ 70 \times 12,\ 90 \times 15\) | M1 |
| \(10 \times 24 + 30 \times 20 + 50 \times 9 + 70 \times 12 + 90 \times 15\) \(240 + 600 + 450 + 840 + 1350\) | M1(dep) |
| 3480 | A1 |
| (3) |
Notes
M1: at least 4 products \(fx\) \(x\) used consistently within interval (inc end points)
M1(dep): for \(fx\) with use of at least 4 correct ½ way values