Foundations
Central limit theorem
10 min
Learning goals
- •You can explain the central limit theorem in your own words.
- •You understand why the CLT is central to inferential statistics.
- •You know the relationship σₓ̄ = σ/√n between population and sampling distribution.
Draw samples one by one and watch the sampling distribution emerge
30
Population
μ1.000
σ1.000
Sampling distribution of x̄
μₓ̄ (theor.)1.000
σₓ̄ = σ/√n0.183
Population distribution
Last sample (n = 30)
Distribution of sample means x̄