1MA0 Higher June 2017 Paper 2 Q23
23 The histogram shows information about the weights, in grams, of some plums.
Work out an estimate for the proportion of these plums with a weight of less than 100 grams. (3)
| Answer | Mark | Notes |
|---|---|---|
| 0.94 or 94% or \(\dfrac{76}{81}\) | 3 | M1 for method to work out total area eg \(1.3 \times 10 + 3.2 \times 5 + 3.6 \times 5 + 2.4 \times 10 + 0.5 \times 20\) (=81) or area up to 100 grams eg \(1.3 \times 10 + 3.2 \times 5 + 3.6 \times 5 + 2.4 \times 10 + 0.5 \times 10\) (=76) (In either case allow one error in reading a bar height) M1 for \(1 - ((0.5 \times 10) / \text{``}81\text{''})\) oe or for method to work out the total area and the area up to 100 grams (In both cases allow one error in reading a bar height) A1 for answer in range 0.938 to 0.94 or 93.8% to 94% or \(\dfrac{76}{81}\) oe |