4400 Higher June 2009 Paper 4 Q19
19 The histogram shows information about the widths, \(w\) centimetres, of some leaves.
The number of leaves with widths in the class \(3 \lt w \leqslant 4\) is 15
(a) Find the number of leaves with widths in the class \(0 \lt w \leqslant 2\) (3)
(b) Find an estimate of the number of leaves with widths in the range
\(4.5 \lt w \leqslant 5.5\) (2)
\(4.5 \lt w \leqslant 5.5\) (2)
| Scheme | Marks |
|---|---|
| Frequency density for \(3 \lt w \leqslant 4\) is 15 (so 1 small square = 0.5) | M1 |
| \(2 \times 4\) | M1 |
| 8 | A1 |
| (3) |
Notes
The mark scheme for this question is not in the source PowerPoint: this is a worked solution with marks allocated as for similar questions.
| Scheme | Marks |
|---|---|
| \(0.5 \times 12 + 0.5 \times 6\) | M1 |
| 9 | A1 |
| (2) | |
| (5 marks) |
Notes
Worked solution: the mark scheme for this question is not in the source PowerPoint.