2026 YTSS P1 Q18

2026 YTSS P1 Q18

Secondary 4
6 marks

The mass of 80 students are measured and presented in the cumulative frequency diagram below.

Use the diagram to estimate

  1. the median mass of the students,[1]
  2. the interquartile range of the mass,[2]
  3. the percentage of students whose mass are at least 70 kg.[1]
  4. One student is chosen at random.
    Find the probability that the student’s mass is between 45 kg and 65 kg.[2]

Solution:

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Answer:(a) 51 kg (b) 6 kg (c) 2.5% (d) \(17/20\), all estimated from the curve.

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