Sampling distributions

Contents

A sampling distribution shows every possible result a statistic can take in every possible sample from a population and how often each result happens. This topic covers how sample proportions and sample means behave in repeated samples.

Sample proportions

Learn how to find the mean and variance of the sampling distribution of a sample proportion.

Mean and variance of Bernoulli distribution example

Bernoulli distribution mean and variance formulas

Sample means

Learn how to find the mean and standard deviation of the sampling distribution of a sample mean. Also, learn about the central limit theorem and why it is one of the most important theorems in statistics.

Central limit theorem

Sampling distribution of the sample mean

Sampling distribution of the sample mean 2

Standard error of the mean

Sampling distribution example problem

Confidence interval 1

Difference of sample means distribution

Random variables

Confidence intervals (one sample)

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Confidence intervals (one sample)