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Problem-Solving and Data AnalysisEasyWhy samples are used

Problem-Solving and Data Analysis practice question

A researcher wants to know the average commuting time of the 200,000 workers in a city. Which of the following is the best reason to survey a random sample rather than every worker?

  1. A. Surveying every worker would be far more costly and slow, while a random sample can estimate the average well.Correct
  2. B. A sample always gives the exact population average.
  3. C. Most workers would refuse to answer.
  4. D. Commuting times cannot be measured.

Answer: A. Surveying every worker would be far more costly and slow, while a random sample can estimate the average well.

Cost and time, with a good estimate in return.

Why the other answers are wrong

B. A sample always gives the exact population average.
A sample estimates; it is not exact.
C. Most workers would refuse to answer.
Nothing suggests refusal.
D. Commuting times cannot be measured.
They can be measured.

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