Question

assume heights of adult men are normally distributed. the average height of adult men in a certain country is 68.9 inches. the standard deviation of the heights is 2.4 inches. based on this data, what percentage of men in this country are taller than 73.7 inches?

Answer 1

73.7 inches is 2 standard deviations above the mean of 68.9 inches. The empirical rule states that 95% of the data for a normal distribution falls within 2 standard deviations of the mean. The tails on both ends account for the remaining 5%. Symmetry of the distribution then suggests that 2.5% of men are taller than 73.7 inches.