AP®︎ Statistics (pre-2026): Topic 5.7 Flashcards

Master key terms and definitions for Topic 5.7 of AP Statistics (pre-2026) – Sampling Distributions for Sample Means 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This course has been archived.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

Sampling Distribution of the Sample Mean

Definition

The distribution of all possible sample means from repeated random samples of size n.

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Sampling Distribution of the Sample Mean
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The distribution of all possible sample means from repeated random samples of size n.

UNC-3.Q
Sampling Without Replacement and the 10% Condition
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Without replacement, spread is slightly smaller; if n is under 10% of N, the difference is negligible.

UNC-3.QUNC-3.Q.2
Normal Population Implies Normal x̄
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If the population distribution is normal, the sample mean distribution is normal for any sample size.

UNC-3.RUNC-3.R.1
Shape, Center, and Spread of a Sampling Distribution for x̄
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Describe x̄ by its shape, mean μ, and standard deviation σ/√n with appropriate conditions.

UNC-3.Q
Interpreting Probabilities for x̄
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State chances about sample means in context, using the variable’s units and the population described.

UNC-3.SUNC-3.S.1
Mean and Standard Error of x̄
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For independent sampling, the center is μ and the spread is σ/√n.

UNC-3.QUNC-3.Q.1
Effect of Sample Size on the Distribution of x̄
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Larger samples make x̄ less variable and, usually by n ≥ 30, more nearly normal.

UNC-3.RUNC-3.R.2