The Central Limit Theorem: Any Shape Becomes a Bell
5,000 samples of n draws each — watch any distribution converge to a Gaussian
Source Distribution
Fair Die (1–6)
Uniform · μ=3.5
Exponential (λ=1)
Skewed right · μ=1
Bimodal (1 & 5)
Two peaks · μ=3
Sample Size n
1
draws per sample
1
200
Controls
Generate
Auto (1 fps)
Statistics
μ of sums
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σ of sums
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n·μ (theory)
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σ·√n (theory)
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Distribution of
1
-Sample Sums (5,000 simulated)
95% Interval: [n·μ − 2σ√n, n·μ + 2σ√n]
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