Skip to main content

learn.howToCalculate

learn.whatIsHeading

The normal (Gaussian) distribution is the most important probability distribution in statistics — bell-shaped, symmetric around the mean. The central limit theorem ensures many real phenomena approach normality with large samples.

Guia passo a passo

  1. 1PDF: f(x) = (1/σ√2π) × e^(−(x−μ)²/2σ²)
  2. 268-95-99.7 rule: 68% within 1σ, 95.4% within 2σ, 99.7% within 3σ
  3. 3CDF gives P(X ≤ x) — area under the curve to the left of x

Exemplos resolvidos

Entrada
μ=100, σ=15 (IQ) · x=130
Resultado
z=2.0 · P(IQ<130) = 97.7% · Top 2.3%
130 is 2 standard deviations above mean

Pronto para calcular? Experimente a calculadora Normal Distribution gratuita

Experimente você mesmo →

Configurações

PrivacidadeTermosSobre© 2026 PrimeCalcPro