AP®︎ Statistics (pre-2026): Topic 5.3 Flashcards

Master key terms and definitions for Topic 5.3 of AP Statistics (pre-2026) – The Central Limit Theorem to help you prep for quizzes and the AP exam.

This course has been archived. The College Board updated AP Statistics for the 2026–27 school year, and the units and topics changed.
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Term

Central Limit Theorem

Definition

For large independent random samples, the sampling distribution of the sample mean is approximately normal.

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Central Limit Theorem
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For large independent random samples, the sampling distribution of the sample mean is approximately normal.

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Conditions for the Central Limit Theorem
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Independent observations and a sufficiently large random sample, often n at least 30.

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Simulation of a Sampling Distribution
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Generate many repeated random samples from a population and calculate the statistic each time.

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Randomization Distribution
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A distribution of simulated statistics created under assumed parameter values or random reassignment.

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Effect of Larger Sample Size on Sampling Distributions
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Larger samples produce less spread and make statistics cluster more closely around the population parameter.

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When to Use the Central Limit Theorem
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Use it for probabilities about sample means when the population shape is unknown but conditions are met.

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Sampling Distribution
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The distribution of a statistic’s values from all possible samples of a fixed size.

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