Foundation June 2023 Paper 1 Q17
17 The table gives information about the number of minutes that Abby spent walking each day in September.
| Number of minutes (\(M\)) | Frequency |
|---|---|
| \(0 \lt M \leqslant 30\) | 5 |
| \(30 \lt M \leqslant 60\) | 6 |
| \(60 \lt M \leqslant 90\) | 8 |
| \(90 \lt M \leqslant 120\) | 9 |
| \(120 \lt M \leqslant 150\) | 2 |
Work out an estimate for the total number of minutes that Abby spent walking in September.
(3)
| Scheme | Marks |
|---|---|
| \(15 \times 5 + 45 \times 6 + 75 \times 8 + 105 \times 9 + 135 \times 2\) or \(75 + 270 + 600 + 945 + 270\) [lower bound products are: 0, 180, 480, 810, 240] [upper bound products are: 150, 360, 720, 1080, 300] | M2 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 2160 | A1 |
| (3) | |
| (3 marks) |
Notes
M2: for correct products using midpoints (allow one error or omission) with attempt to add
(M1 for products using a consistent value within range and attempt to add or for at least 4 correct products without addition)
A1: (an answer of 72 loses the final A mark but gains M2)