O-LevelMathematicsStatistics4024/11 · Oct/Nov 2024 · Q186 Marks
50 adults each take part in a quiz. The cumulative frequency diagram shows their scores. [Figure for 18 shows a cumulative frequency curve]
- (a)Use the diagram to find an estimate of the interquartile range.[2]
- (b)20% of the adults win a prize for getting a high score in the quiz. Use the diagram to work out the minimum score needed to win a prize.[2]
- (c)Use the diagram to complete the frequency table. Score (s) | 0 < s ≤ 20 | 20 < s ≤ 40 | 40 < s ≤ 60 | 60 < s ≤ 80 | 80 < s ≤ 100 Frequency | | | | | 8[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2024). The mark or mark type is shown in brackets.
- [2] 18(a) 49 to 53
- B1 for [LQ = ] 16 to 18 or [UQ =] 67 to 69 seen
- [2] 18(b) 74 to 76
- M1 for 20% = 10 soi
- [2] 18(c) 14, 13, 8, 7
- B1 for 2 or 3 correct
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