2026 CSS P1 Q26

2026 CSS P1 Q26

Secondary 4
7 marks

The cumulative frequency curve below shows the distribution of ages of 120 elderly residents in an estate in Singapore recorded in 2025.

  1. Use the curve to estimate
    1. the median age,[1]
    2. the interquartile range.[2]
  2. The retirement age has been raised to 64 on 1 July 2026.
    What percentage of elderly are retirees?[2]
  3. Naval Base Residents’ Network (RN) plans to start a programme to help the elderly residents in the estate.
    The RN decides to focus on a selected group of elderly residents who are similar in age with the range of their ages not greater than 5 years.
    Emily claims that the ages of the selected group should be from 71 to 76 years old to extend the help to the maximum number of elderly residents possible.
    Do you agree with her?
    Justify your decision.[2]

Solution:

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Answer:(a)(i) \(74\) years (ii) \(5\) years (b) \(93.3\%\) (c) Agree, to graphical accuracy; approximately \(66\) residents in the \(71\)–\(76\) interval.

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