2026 PCSS P2 Q8

2026 PCSS P2 Q8

Secondary 4
6 marks
  1. The ages of 15 people are recorded below.
    \(46\quad2\quad8\quad6\quad41\quad47\quad59\quad43\quad59\quad65\quad78\quad55\quad39\quad48\quad60\)
    A box-and-whisker diagram is drawn to represent the data.
    1. Find the values of \(a\) and \(b\).[2]
    2. Calculate
      1. the mean of the ages.[1]
      2. the standard deviation of the ages.[1]
  2. Explain why the mean may not be an appropriate average for this data set.
    State a more appropriate measure of average.[2]

Solution:

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Answer:(a)(i) \(a=39,b=47\) (ii)(a) 43.7 years (ii)(b) 21.6 years (b) Median; less affected by extreme low ages.

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