2025 DSS PRELIMS P2 Q8

2025 DSS PRELIMS P2 Q8

Secondary 4
6 marks

A group of 200 teenagers in Singapore were asked how many hours of daily screen time they had, on average, in the last week. The cumulative frequency curve shows the distribution of the hours.

  1. Use the curve to estimate
    1. the median hours,[1]
    2. the interquartile range of the number of hours.[2]
  2. Find the probability that a teenager selected from this group had a daily screen time of at least 5 hours.[1]
  3. Another group of 200 teenagers in Country X were also asked how many hours of daily screen time they had, on average, in the last week. The box-and-whisker plot shows the distribution of the hours.[2]

Solution:

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Answer:(a)(i) \(7.5\text{ h}\) (ii) \(3.4\text{ h}\) (b) \(0.84\) (c) lower median, larger spread in Country X

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