"The supreme law of Unreason" - Francis Galton
f(x) = (1 / σ√2π) × e^(-½((x-μ)/σ)²)
68% within ±1σ, 95% within ±2σ, 99.7% within ±3σ
Perfect symmetry. Mean, median, and mode all coincide.
From human heights to measurement errors, from IQ to particle velocities - it appears everywhere.
The Central Limit Theorem: sum enough random variables and you get this, regardless of their original distributions.
The curve extends infinitely in both directions, asymptotically approaching zero.
Just two parameters (μ and σ) describe entire populations.