Suppose that height is a normally distributed variable with mean of 66 inches and a standard deviation of 3 inches. About what percentage of people would have a height between 66 and 72 inches?

Question

Quizplus · Accepted Answer

In a normal distribution, about 68% of the data falls within one standard deviation of the mean. Since 66 to 72 inches is one standard deviation above the mean, approximately half of 68%, which is 34%, falls between 66 and 72 inches. Adding the 50% below the mean gives 84%, but since we only want the portion between 66 and 72, it's 34%. However, the closest option is 48%, which accounts for the symmetry around the mean.

Suppose That Height Is a Normally Distributed Variable with Mean