Empirical Rule Calculator

Normal DistributionLast updated: March 2026

Empirical Rule Calculator

Calculate the 68-95-99.7 rule (Empirical Rule) for normal distributions. Understand data spread in standard deviations.

Distribution Parameters

Center of the distribution

Spread of the distribution (must be positive)

68-95-99.7 Rule

1σ68.27%

Range

85.00 to 115.00

2σ95.45%

Range

70.00 to 130.00

3σ99.73%

Range

55.00 to 145.00

✓ What This Means

  • • ~68% of data within 1 standard deviation
  • • ~95% of data within 2 standard deviations
  • • ~99.7% of data within 3 standard deviations

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