Question

At least 96.00​% of the data in any data set lie within how many standard deviations of the​ mean? Explain how you arrived at your answer.

Answer 1

At least 96.00% of the data in any data set lies within three standard deviations of the mean.

Step-by-step explanation:

The Empirical Rule states that in a bell-shaped and symmetric distribution, approximately 68 percent of the data lies within one standard deviation of the mean, 95 percent lies within two standard deviations of the mean, and more than 99 percent lies within three standard deviations of the mean. Therefore, at least 96.00​% of the data lies within three standard deviations of the mean.