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Problem-Solving and Data AnalysisEasy–MediumChoosing a representative sample of pupils

Problem-Solving and Data Analysis practice question

A researcher wants a sample of 80 pupils that represents all 800 pupils at a school. Which method is most likely to give a representative sample?

  1. A. Choosing 80 pupils at random from the school register.Correct
  2. B. Asking the first 80 pupils to arrive one morning.
  3. C. Asking the 80 members of the school's sports teams.
  4. D. Asking 80 pupils who volunteer to take part.

Answer: A. Choosing 80 pupils at random from the school register.

Random selection from the whole list gives every pupil the same chance.

Why the other answers are wrong

B. Asking the first 80 pupils to arrive one morning.
Early arrivers may differ from the rest.
C. Asking the 80 members of the school's sports teams.
Sports teams are not typical of all pupils.
D. Asking 80 pupils who volunteer to take part.
Volunteers select themselves.

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