O-LevelMathematicsStatistics4024/11 · Oct/Nov 2014 · Q226 Marks
Each member of a group of 100 people was asked how long they spent at a gym one after The results are summarised in the cumulative frequency table below. Time (t mins) | t ≤ 20 | t ≤ 40 | t ≤ 60 | t ≤ 90 | t ≤ 120 --- | --- | --- | --- | --- | --- Cumulative frequency | 6 | 20 | 46 | 88 | 100
- (a)How many people spent between 60 and 90 minutes at the gym?[1]
- (b)On the grid below, draw the cumulative frequency curve to represent the information in the table.[2]
- (c)(i)Use your cumulative frequency curve to estimate the median time spent at the gym,[1]
- (c)(ii)the number of people who spent between 50 and 80 minutes at the gym.[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 2014). The mark or mark type is shown in brackets.
- [1] (a) 42
- [2] (b) Correct plots at 20, 40, 60, 90, 120 and CF curve drawn
- B1 for three or four correct plots
- [1] (c)(i) 62 to 64 inclusive
- FT from their CF graph
- [2] (c)(ii) 41 to 46 inclusive WWW,
- FT (F80-F50) from their graph.
- M1 for attempt to calculate (F80-F50) from their graph.
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