4400 Higher November 2008 Paper 4 Q16
16 The histogram shows information about the masses, in grams, of some stones.
There are 120 stones with masses less than 30 g.
Calculate an estimate of the number of stones with masses between 35 g and 70 g.
(3)
| Scheme | Marks |
|---|---|
| (1 sq reps) \(120 \div 6\) (= 20) or 6 squs reps 120 | M1 |
| \((0.5 \times 6 + 2 + 2) \times\) “20” or “20” × 7 | M1dep |
| 140 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: (f.d. per g) = \(\frac{1}{3} \times 120 \div 20\) or \(\frac{1}{6} \times 120 \div 10\) (= 2) or 2, (4, 6, 8) on fd axis
M1dep: 5 × “2” × 6 + 10 × 2 × “2” + 20 × “2”
\(120 \times \frac{7}{6}\): M2