Higher June 2017 Paper 2 Q13
13 The histogram shows some information about the ages of the 134 members of a sports club.
20% of the members of the sports club who are over 50 years of age are female.
Work out an estimate for the number of female members who are over 50 years of age. (3)
| Answer | Mark | Notes |
|---|---|---|
| 7 | P1 | for correct process to find any frequency, eg. \(\text{``}1.1\text{''} \times 10\ (= 11)\) or \(\text{``}2.8\text{''} \times 10\ (= 28)\) or \(\text{``}2.3\text{''} \times 20\ (= 46)\) or \(\text{``}1.4\text{''} \times 20\ (= 28)\) or \(\text{``}1.4\text{''} \times 10\ (= 14)\) or \(\text{``}0.7\text{''} \times 30\ (= 21)\) or for a correct process to find the total area and an area of any block, eg. using 1 cm2 = 1 unit of area to get 53.6 and one of 4.4, 11.2, 18.4, 11.2, 5.6, 8.4 |
| P1 | (dep P1) for complete process to find 20% of \((\text{``}1.4\text{''} \times 10 + \text{``}0.7\text{''} \times 30)\), eg. \(\dfrac{20}{100} \times \text{``}35\text{''}\) or \(\dfrac{\text{``}5.6\text{''} + \text{``}8.4\text{''}}{\text{``}53.6\text{''}} \times 134 \times \dfrac{20}{100}\) | |
| A1 | cao |