Source Distribution
Uniform [0, 1]
flat · most dramatic CLT demo
Exponential (λ = 1)
heavy right tail · skewed
Bernoulli (p = 0.3)
discrete binary · asymmetric
Bimodal
two peaks · clearly non-normal
Arcsine (U-shaped)
high density at edges
Sample size n
1
2
5
10
30
Speed
×1
×10
×100
Overlays
∿ Normal
▥ σ bands
↺ Reset
⏸ Pause
Top: source PDF + sample dots.
Large dot = sample mean.
Bottom: histogram of means.
White curve = N(μ, σ²/n).
σ bands: 68 / 95 / 99.7 %.
n =
5
samples =
0
x̅ =
—
σ̂ =
—
σ/√n =
—
source =
Uniform