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Mathematics

The Normal Distribution and the Empirical Rule

Quick fact

In a normal distribution, about 68% of all values lie within one standard deviation of the mean, 95% within two, and 99.7% within three—this is the empirical rule, a quick key to understanding data spread.

Why this is interesting

Have you ever wondered why so many measurements—heights, test scores, or noise levels—form a bell-shaped curve? What if you could predict exactly how many values fall within a certain range just by knowing the average and the spread?

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The Normal Distribution and the Empirical Rule

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