If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

Sampling distributions

What is a sampling distribution?

Learn

Introduction to sampling distributions

(Opens a modal)

Sample statistic bias worked example

(Opens a modal)

Practice

Biased and unbiased estimatorsGet 3 of 4 questions to level up!

Sampling distribution of a sample proportion

Learn

Sampling distribution of sample proportion part 1

(Opens a modal)

Sampling distribution of sample proportion part 2

(Opens a modal)

Normal conditions for sampling distributions of sample proportions

(Opens a modal)

Probability of sample proportions example

(Opens a modal)

Sampling distribution of a sample proportion example

(Opens a modal)

Practice

The normal condition for sample proportionsGet 3 of 4 questions to level up!

Mean and standard deviation of sample proportionsGet 3 of 4 questions to level up!

Finding probabilities with sample proportionsGet 3 of 4 questions to level up!

Sampling distribution of a sample mean

Learn

Inferring population mean from sample mean

(Opens a modal)

Central limit theorem

(Opens a modal)

Sampling distribution of the sample mean

(Opens a modal)

Sampling distribution of the sample mean 2

(Opens a modal)

Standard error of the mean

(Opens a modal)

Example: Probability of sample mean exceeding a value

(Opens a modal)

Sampling distribution of a sample mean example

(Opens a modal)

Practice

Mean and standard deviation of sample meansGet 3 of 4 questions to level up!

Sample means and the central limit theoremGet 3 of 4 questions to level up!

Finding probabilities with sample meansGet 3 of 4 questions to level up!

About this unit

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.