MathStatistical InferenceMedium frequency

SAT Math: Explain why random sampling enables generalization

16+ practice questions in Praczo

What you need to know

The concept, explained

  • 1

    A random sample is one in which every member of the population has an equal chance of being selected.

  • 2

    Only random samples allow valid generalization from the sample to the whole population.

  • 3

    Non-random samples (volunteers, convenience samples) introduce bias — the sample may not represent the population.

  • 4

    A larger random sample generally gives more precise estimates, but size alone cannot fix a biased sampling method.

Common mistakes
  • Assuming a large sample is automatically representative. A large convenience sample is still biased.
  • Generalizing from a non-random sample to a broader population.
Try a sample question

SAT-style practice

A researcher wants to estimate the average daily screen time of students at a large university. Which sampling method best supports a valid generalization?

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