Statistical inference · sample means · manipulative

Building the distribution of x̄

Top: the population — sampled bars light up red. Bottom: each sample’s mean is added to the distribution of x̄.

population sampled values sample means μ population mean of x̄

Population

Distribution of sample means x̄

Draw a sample — red highlights the n values on top; their mean appears below

1
20
3×

Last sample: –

Population

Samples collected

trials
0
mean of x̄
–
sd of x̄ (observed)
–
σ/√n (theory)
–