Empirical Rule Calculator

Visualize the Normal Distribution (68-95-99.7 Rule) by entering your dataset's Mean and Standard Deviation.

Input Parameters

Mean (μ)

μ

Standard Deviation (σ)

σ

Standard deviation must be positive.

Did you know?

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

Normal Distribution Visualization

Calculated Ranges

Percent	Lower Limit	Upper Limit	Description
68%			Falls within 1 standard deviation (μ ± 1σ)
95%			Falls within 2 standard deviations (μ ± 2σ)
99.7%			Falls within 3 standard deviations (μ ± 3σ)

The 68-95-99.7 Rule Calculator