Answer :
Final answer:
The 68-95-99.7 normal curve rule, also known as the empirical rule or the three-sigma rule, describes the percentage of data that falls within a given number of standard deviations from the mean in a normal distribution.
Explanation:
The 68-95-99.7 normal curve rule, also known as the empirical rule or the three-sigma rule, is a statistical guideline that describes the percentage of data that falls within a given number of standard deviations from the mean in a normal distribution.
According to the rule: about 68% of the data falls within one standard deviation from the mean, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.
For example, if we have a normal distribution of heights with a mean of 70 inches and a standard deviation of 3 inches, we can use the 68-95-99.7 rule to estimate that approximately 68% of people have heights between 67 inches and 73 inches, 95% have heights between 64 inches and 76 inches, and 99.7% have heights between 61 inches and 79 inches.
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