Higher January 2022 Paper 1R Q21
21
The histogram gives information about the weights, in kg, of all the watermelons in a field.
There are 16 watermelons with a weight between 8 kg and 8.5 kg
Work out the total number of watermelons in the field.
(3)
| Scheme | Marks |
|---|---|
| 16 ÷ 0.5 (= 32) or a correct value on the FD scale or 10 small squares = 1 watermelon oe 25 small squares (1 large square) = 16 ÷ 6.4 = 2.5 watermelon oe | M1 |
| 15 × 1 + 16 + 23 × 1 + 30 × 1 + 12 × 1.5 or 15 + 16 + 23 + 30 + 18 or 16 + 0.1 × (15 × 10 + 23 × 10 + 30 × 10 + 12 × 15) oe or (150 + 160 + 230 + 300 + 180) × 0.1 oe or (6 + 6.4 + 9.2 + 12 + 7.2) × 2.5 oe | M1 |
| 102 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for use of area to represent frequency or one correct frequency from the 4 remaining bars
M1: (dep on M1) for a fully correct method, allow one error in products or number of squares but must be the sum of 5 parts