MathProblem-Solving & Data AnalysisMedium frequency

SAT Math: Margin of Error vs Sample Size

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What you need to know

The concept, explained

  • 1

    Margin of Error (MoE) indicates the uncertainty in survey results based on only taking a sample of the population.

  • 2

    The size of the MoE is INVERSELY proportional to the sample size.

  • 3

    This means if you INCREASING the number of people surveyed, you DECREASE the margin of error (the data becomes more reliable/tighter).

  • 4

    The SAT will not ask you to calculate the MoE formula; just understand the directional relationship between sample size and error.

Common mistakes
  • Assuming a larger sample size produces a larger margin of error.
  • Thinking margin of error measures "mistakes" made by the researchers rather than statistical sampling variance.
Try a sample question

SAT-style practice

A polling firm repeats a survey on mayoral candidates. Survey A polls 500 people, yielding a 4% margin of error. Survey B polls 2,000 people. Which statement about Survey B's margin of error is most likely true?

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