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Shape of a Sampling Distribution

Author: Jonathan Osters

Source: Graphs and tables created by the author

Video Transcript
Terms to Know
Central Limit Theorem

A theorem that explains the shape of a sampling distribution of sample means. It states that if the sample size is large (generally n ≥ 30), and the standard deviation of the population is finite, then the distribution of sample means will be approximately normal.

Formulas to Know
Mean of a Distribution of Sample Means

mu subscript x with bar on top end subscript equals mu subscript o r i g i n a l end subscript

Standard Deviation of a Distribution of Sample Means

sigma subscript x with bar on top end subscript equals fraction numerator sigma over denominator square root of n end fraction