Run times of two classes
Run times of two classes
Secondary 4
8 marks
The cumulative frequency curves show the times, in minutes, taken by the \(40\) students of Class P and the \(60\) students of Class Q to complete a \(2.4\) km run.
- Find the median time of each class.[2]
- Find the interquartile range of each class.[2]
- Find the percentage of students in each class who took more than \(18\) minutes.[2]
- Make two comments comparing the times of the two classes.[2]
Solution:
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Answer:(a) P \(14\) min, Q \(16\) min (b) P \(16-12=4\) min, Q \(20-14=6\) min (c) P \(7.5\%\) (accept \(5\%\) to \(10\%\)), Q about \(36.7\%\) (accept \(35\%\) to \(38.3\%\)) (d) Class P took less time on average (median \(14\) min against \(16\) min); Class P’s times are more consistent (IQR \(4\) min against \(6\) min).
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