R
Rishtaara
Statistics Fundamentals
Lesson 7 of 12Article16 min

Sampling Distributions & the CLT

The sampling distribution of x̄ describes how the sample mean varies across repeated samples. The Central Limit Theorem says for large n, x̄ is approximately normal even if the population is not.

Why averages behave

The sampling distribution of x̄ describes how the sample mean varies across repeated samples. The Central Limit Theorem says for large n, x̄ is approximately normal even if the population is not.

Standard error shrinks like 1/√n — quadrupling sample size halves the SE.