Answer to Question #145248 in Statistics and Probability for Vladimyr Lubin

Question

(3.3.13) The tallest living man at one time had a height of 244 cm. The shortest living man at that time had a height of 65.5cm. Heights of men at that time had a mean of 172.29 cm and a standard deviation of 7.64 cm. Which of these two men had the height that was more​ extreme?

Since the z score for the tallest man is z=? and the z score for the shortest man is z=?​, the tallest/shortest man had the height that was more extreme.

Answer 1

Z score for the tallest person is $\frac{244-172.29}{7.64}=9.39$

The z score for the shortest person is $\frac{65.5-172.29}{7.64}=-13.98$

Since the z score for the tallest man is z=9.39 and the z score for the shortest man is z=-13.98, the shortest man had the more extreme height. Since 13.98>9.39.