1MA0 Higher March 2013 Paper 2 Q21
21 The histogram shows some information about the weights of a sample of apples.
Work out the proportion of apples in the sample with a weight between 140 grams and 200 grams. (4)
| Working | Answer | Mark | Notes |
|---|---|---|---|
| Total area = (0.12 × 40) + (0.36 × 20) + (0.7 × 20) + (0.56 × 20) + (0.18 × 40) = 44.4 Area (\(140 \lt w \lt 200\)) = (0.36 × 20) + (0.7 × 20) + (0.56 × 20) = 32.4 32.4 ÷ 44.4 | 0.73 | 4 | M1 for a method to find the frequency or the area of any one block M1 for a method (with correct values) to find total area of all blocks or 44.4 or 1110 or a correct method (with correct values) to find total area of middle 3 blocks or 32.4 or 810 M1 (dep on M2) for a correct method to find required proportion (could lead to a decimal or a percentage or a fraction) A1 for answer which rounds to 0.73 or 73% or \(\frac{27}{37}\) or equivalent fraction |