2026 NCHS P1 Q21

2026 NCHS P1 Q21

Secondary 4
4 marks

The stem-and-leaf diagram below shows the times taken, in minutes, for 10 boys from school ABC to complete a 400 m swim.

Key: \(7\mid4\) represents 7.4 minutes.

  1. Calculate an estimate for
    1. the mean swim time,[1]
    2. the standard deviation of the swim time.[1]
  2. Another group of 10 boys from school XYZ have a mean swim time of 8.3 minutes and a standard deviation of 0.97 minutes in the 400 m swim. Make two comments comparing the mean and distribution of the swim time of the 20 boys from both schools.[2]

Solution:

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Answer:(a)(i) \(8.51\text{ min}\) (ii) \(0.750\text{ min}\). (b) XYZ faster on average; ABC more consistent.

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