Answer :
Final answer:
The empirical rule states that in a 'bell-shaped' or normal distribution, 99.7% of observations fall within 3 standard deviations of the mean.
Explanation:
According to the empirical rule in statistics, which applies to a normal distribution — also known as a 'bell-shaped' distribution — about 99.7% of the observations are contained within 3 standard deviations around the arithmetic mean. This means that if you were to plot the data on a graph, almost all the data points (99.7%) would fall within the area that is between 3 standard deviations below and 3 standard deviations above the mean.
To further explain, the empirical rule gives us the following information: about 68% of data fall within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. This rule is particularly useful in statistics for predicting where values are likely to fall within the data set.
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