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AP Statistics/Unit 5: Sampling Distributions
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Properties of Sampling Distributions
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Rank the following statements in the logical sequence that describes the central limit theorem (CLT) and its implications for the sampling distribution of the mean:

A: The sampling distribution of the sample mean approaches normality as the sample size increases.
B: The sample mean has a mean equal to the population mean $$\mu$$.
C: The standard deviation of the sample mean is equal to the population standard deviation divided by $$\sqrt{n}$$.
D: Averages based on larger samples exhibit less variability than individual observations.

Express your answer as an ordering of the statement labels (for example, “A, B, C, D”).

A

A, C, B, D

B

A, B, C, D

C

B, A, D, C

D

D, C, B, A

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