Question

complete the following statement about the empirical rule. according to the empirical rule, if a distribution is bell - shaped, then approximately of the data will lie within 1 standard deviation of the mean; approximately of the data will lie within 2 standard deviations of the mean; approximately of the data will lie within 3 standard deviations of the mean.

Explanation:

The Empirical Rule for a bell - shaped (normal) distribution states specific percentages of data within certain standard - deviation ranges from the mean. 68% of data is within 1 standard deviation, 95% within 2 standard deviations, and 99.7% within 3 standard deviations.

Answer:

Approximately 68% of the data will lie within 1 standard deviation of the mean; approximately 95% of the data will lie within 2 standard deviations of the mean; approximately 99.7% of the data will lie within 3 standard deviations of the mean.