2025 MGS(S) PRELIMS P1 Q21

2025 MGS(S) PRELIMS P1 Q21

Secondary 4
3 marks

In a fuel-economy test of 100 cars, the average distance travelled per litre of fuel was recorded.

Distance, \(d\) (km/l)Frequency
\(10<d\leq11\)\(14\)
\(11<d\leq12\)\(20\)
\(12<d\leq13\)\(38\)
\(13<d\leq14\)\(16\)
\(14<d\leq15\)\(12\)
  1. Calculate an estimate for the mean distance travelled per litre of fuel.[1]
  2. Explain why the value in (a) is an estimate of the mean distance travelled per litre of fuel.[1]
  3. Find the standard deviation.[1]

Solution:

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Answer:(a) \(12.42\text{ km/l}\) (b) class midpoints are used (c) \(1.18\text{ km/l}\)

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