2025 PHS PRELIMS P1 Q12

2025 PHS PRELIMS P1 Q12

Secondary 4
3 marks

The frequency table shows the masses of 50 students from Class A.

Mass, \(m\) (kg)Frequency
\(20<m\leq30\)\(2\)
\(30<m\leq40\)\(11\)
\(40<m\leq50\)\(20\)
\(50<m\leq60\)\(12\)
\(60<m\leq70\)\(5\)
  1. Calculate the estimated mean mass.[1]
  2. Calculate the standard deviation.[1]
  3. Explain why the mean calculated in (a) is only an estimate.[1]

Solution:

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Answer:(a) \(46.4\text{ kg}\) (b) \(10.0\text{ kg}\) (c) exact masses are unknown

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