4MA0 Higher June 2013 Paper 4 Q12
12 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 x 24 ,30 x 20, 50 x 9, 70 x 12, 90 x 15 | M1 |
| 10 x 24 + 30 x 20 + 50 x 9 +70 x 12+ 90 x 15 240 + 600 + 450 + 840 +1350 | M1 |
| 3480 | A1 |
| (3) |
Notes
M1: at least 4 products \(fx\) \(x\) used consistently within interval (inc end points)
M1: (dep) for \(\sum fx\) with use of at least 4 correct ½ way values