A survey records how long pupils in two groups take to travel to school. The table gives the number

Question

A survey records how long pupils in two groups take to travel to school. The table gives the number of pupils whose journey takes no more than 20 minutes. GroupTotal pupilsJourney no more than 20 min A$40$$16$ B$60$$30$ Find the percentage of pupils in each group whose journey takes no more than 20 minutes.[2] Kai says, “Group B has nearly twice as many short journeys, so a pupil in B is nearly twice as likely to have a short journey.” Explain why his conclusion is not justified.[2]

Accepted Answer

(a) A: $40\%$, B: $50\%$ (b) Compare proportions; B has only $1.25$ times A’s proportion.

Group	Total pupils	Journey no more than 20 min
A	\(40\)	\(16\)
B	\(60\)	\(30\)

Comparing groups of different sizes

Comparing groups of different sizes

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