Answer to Question #145979 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 65.5 cm. 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

By definition,

$\displaystyle z = \frac{x-\mu}{\sigma}$

$\displaystyle z_1 = \frac{244-172.29}{7.64}= 9.39$

$\displaystyle z_2 = \frac{65.5-172.29}{7.64}= -13.98$

The shortest man had the height that was more extreme.