Higher January 2020 Paper 2R Q2
2 The table gives information about the amount of money, in £, that Fiona spent in a grocery store each week during 2019
| Amount spent (£\(x\)) | Frequency |
|---|---|
| \(0 \leqslant x \lt 20\) | 5 |
| \(20 \leqslant x \lt 40\) | 11 |
| \(40 \leqslant x \lt 60\) | 8 |
| \(60 \leqslant x \lt 80\) | 19 |
| \(80 \leqslant x \lt 100\) | 9 |
Work out an estimate for the total amount of money that Fiona spent in the grocery store during 2019
(3)
| Scheme | Marks |
|---|---|
| 10 × 5 + 30 × 11 + 50 × 8 + 70 × 19 + 90 × 9 (50 + 330 + 400 + 1330 + 810) | M2 |
| 2920 | A1 |
| (3) | |
| (3 marks) |
Notes
M2: Correct products using midpoints (allowing one error) with intention to add.
M1 for products using frequency and a consistent value within the range (allowing one error) with intention to add.
or correct products using midpoints without addition (allow 1 error)
A1: N.B. 2920 ÷ 52 (= 56.2..) scores M2A0