Higher June 2025 Paper 2 Q19
19 The histogram represents the ages of the 500 members of a gym.
The first bar represents the members aged at least 16 and under 20
Each member pays an annual fee based on their age.
| Age | Under 65 | 65 or over |
|---|---|---|
| Annual fee | £275 | £129 |
Use the histogram to estimate the total annual fees paid by these members. [4 marks]
| Answer | Mark | Comments |
|---|---|---|
| \((80 - 65) \times 2.8\) or \(15 \times 2.8\) or \((65 - 60) \times 2.8\) or \(5 \times 2.8\) | M1 | oe method for frequency \(\geqslant\) age 65 or oe method for age 60 \(\leqslant\) frequency \(\lt\) age 65 |
| 42 or 14 | A1 | frequency \(\geqslant\) age 65 or age 60 \(\leqslant\) frequency \(\lt\) age 65 implied by 3850 or 131 368 |
| their \(42 \times 129\) or 5418 or \((4 \times 11.5 + 10 \times 13.2 + 10 \times 14.6 + 20 \times 6 +\) their \(14) \times 275\) or \((46 + 132 + 146 + 120 +\) their \(14) \times 275\) or \((500 -\) their \(42) \times 275\) or 125 950 | M1dep | oe method for total fee \(\geqslant\) age 65 or oe method for total fee \(\lt\) age 65 5418 or 125 950 imply M1A1M1 |
| 131 368 | A1 | SC1 46 or 132 or 146 or 120 or 56 seen in working or on diagram implied by 12 650 or 36 300 or 40 150 or 33 000 |
Additional guidance
Up to M1A1M1 may be awarded for correct work with no answer or incorrect answer, even if this is seen amongst multiple attempts
SC1 is for a correct frequency or total fee for any bar