Apply the Empirical Rule to a distribution that has a mean of 275 and a standard deviation of 36. Which one of the following is correct?
A) About 34% of the distribution is between 239 and 311.
B) About 68% of the distribution is between 275 and 311.
C) About 95% of the distribution is between 203 and 347.
D) All of the distribution is between 167 and 383.

Question

Quizplus · Accepted Answer

The Empirical Rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. For a mean of 275 and a standard deviation of 36, two standard deviations from the mean are 275 - 2(36) = 203 and 275 + 2(36) = 347, which means about 95% of the distribution is between 203 and 347.

Apply the Empirical Rule to a Distribution That Has a Mean