Question

A set of data has a normal distribution with a mean of 49 and a standard deviation of 8. Find the percent of data within the following interval. from 33 to 65.

Answer 1

95 percent

Explanation:

The empirical rule states that approximately 95% of observations will fall within 2 standard deviations of the mean if the population is approximately symmetrical(normal) in distribution.

The interval from 33 to 65 falls within 2 standard deviations of the mean;

49-2(8) = 33

49+2(8) = 65

Thus, 95 percent of data will fall within the interval from 33 to 65