A representative sample

A representative sample

Secondary 4
3 marks
TGM Original Questions

A school has 900 pupils. To estimate how many exercise for at least 30 minutes each day, a pupil surveys the first 40 volunteers leaving the school sports club. Of these volunteers, 32 report exercising for at least 30 minutes each day.

  1. The pupil estimates that 720 pupils in the school exercise for at least 30 minutes each day. Show how this estimate was obtained.[1]
  2. Explain one reason why this estimate may be too high.[1]
  3. Describe a better way to select 40 pupils for this survey.[1]

Solution:

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Answer:(a) \(\dfrac{32}{40}\times900=720\) (b) Sports-club volunteers may be unusually active (c) Select randomly from the complete school list.

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