O-LevelMathematicsStatistics4024/13 · May/June 2025 · Q167 Marks
The cumulative frequency diagram gives information about the marks scored by 80 students in an exam. [Figure 16.1]
- (a)Use the cumulative frequency diagram to complete the frequency table. The first two frequencies have been completed for you. Mark (m) | 0 < m ≤ 20 | 20 < m ≤ 40 | 40 < m ≤ 55 | 55 < m ≤ 70 | 70 < m ≤ 90 | 90 < m ≤ 100 Frequency | 5 | 10 | | | | [2]
- (b)Use the cumulative frequency diagram to find an estimate of
- (b)(i)the median mark[1]
- (b)(ii)the 30th percentile[2]
- (b)(iii)the number of students who scored 76 marks or more.[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 (May/June 2025). The mark or mark type is shown in brackets.
- [2] (a) 20 25 17 3
- B1 for two correct entries
- [1] (b)(i) 58
- [2] (b)(ii) 48
- B1 for 24 seen
- [2] (b)(iii) 14
- M1 for 66 seen in working for this part
- If 0 scored SC1 for answer 13 or 15
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