In a normal distribution, approximately 99% of scores will fall within three standard deviations of the mean. Skip to main content

In a normal distribution, approximately 99% of scores will fall within three standard deviations of the mean.


Question: In a normal distribution, approximately 99% of scores will fall within three standard deviations of the mean.

In a normal distribution, the empirical rule (also known as the 68-95-99.7 rule) tells us that:


About 68% of the data falls within one standard deviation of the mean.


About 95% of the data falls within two standard deviations of the mean.


About 99.7% of the data falls within three standard deviations of the mean.


So, when we talk about approximately 99% of the scores, it indeed falls within three standard deviations of the mean. This rule is incredibly helpful in statistics to understand the spread and probability of outcomes in a normal distribution.

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