AP®StatisticsCollege BoardExam QuestionsUnit 2: Probability, Random Variables, and Probability DistributionsSampling Distributions

Sampling Distributions (College Board AP® Statistics): Exam Questions

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The distribution of a random variable has a strong skew with a mean of μ=20 and a standard deviation of σ=8.

From a random sample of size 625, what would be the sampling distribution of the sample mean, x¯?

  • Approximately normal with a mean of 20 and a standard deviation of 8

  • Approximately normal with a mean of 20 and a standard deviation of 0.32

  • Strongly skewed with a mean of 20 and a standard deviation of 8

  • Strongly skewed with a mean of 20 and a standard deviation of 0.32

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