2025 AHS PRELIMS P2 Q9

2025 AHS PRELIMS P2 Q9

Secondary 4
5 marks

The time taken by 120 students to travel to school \(A\) was recorded. The cumulative frequency curve below shows the distribution of their commute times.

  1. Calculate the percentage of students who took at least 35 minutes to reach school.[1]

The commute times of another group of 120 students from school \(B\) were recorded. The box-and-whisker plot below shows the distribution of their travel times.

  1. Mr Chan claims that in school \(B\), there are twice as many students who take less than 27 minutes than those who take more than 35 minutes. Comment, with reasons, on whether the data supports the claim.[2]
  2. Give two comments comparing the commute times of the two groups of students.[2]

Solution:

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Answer:(a) about \(50\%\) (b) No; both groups contain about 30 students (c) A has a higher median and larger IQR

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