Empirical Rule Calculator

Calculate the percentage of data within 1, 2, and 3 standard deviations of the mean using the Empirical Rule (68-95-99.7 Rule).

Empirical Rule:

  • ≈68% of data within 1σ of mean
  • ≈95% of data within 2σ of mean
  • ≈99.7% of data within 3σ of mean

Formula: For a normal distribution, probabilities for intervals:

1σ interval: μ ± σ
2σ interval: μ ± 2σ
3σ interval: μ ± 3σ

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