4400 Higher June 2010 Paper 4 Q15
15 The unfinished histogram shows information about the heights, \(h\) metres, of some trees.
A key is also shown.
(a) Calculate an estimate for the number of trees with heights in the interval \(4.5 \lt h \leqslant 10\) (3)
(b) There are 75 trees with heights in the interval \(10 \lt h \leqslant 13\)
Use this information to complete the histogram. (2)
Use this information to complete the histogram. (2)
| Scheme | Marks |
|---|---|
| (6.8 × 20) or (0.75 × 1.6 × 20) | M1 |
| 24 + 136 | M1 |
| 160 | A1 |
| (3) |
Notes
M1: correct fd value marked (no errors)
M1: (1.5 × 16) + (4 × 34) M2 for 20 × 8 or 200 × 0.8
A1: cao
| Scheme | Marks |
|---|---|
| 75 ÷ 3 (= 25) or 75 ÷ 20 (= 3.75) | M1 |
| block 10–13 ht 2.5cm | A1 |
| (2) | |
| (5 marks) |