Answer to Question #239285 in Statistics and Probability for kit

Question

A survey of 1000 men ages 20 to 30 found that their heights were normally distributed, with a mean of 65 inches and a standard deviation of 2.5 inches. How many men have a height that is within 1 standard deviation of the mean?

Answer 1

According to Empirical Rule for a Normal Distribution, in a normal distribution, approximately 68% of the data lie within 1 standard deviation of the mean.

Nimber of men within 1 standard deviation of the mean $= \frac{68}{100} \times 1000 = 680$