Question

Use z scores to compare the given values. The tallest living man at one time had a height of 249 cm. The shortest living man at that time had a height of 120.2 cm. Heights of men at that time had a mean of 176.55 cm and a standard deviation of 7.23 cm. Which of these two men had the height that was more​ extreme?

Answer 1

Explanation:

Average height = 176.55 cm

Height of tallest man = 249 cm

Standard deviation = 7.23

z score of tallest man

= (249 - 176.55) / 7.23

= 10.02

Average height = 176.55 cm

Height of shortest man = 120.2 cm

Standard deviation = 7.23

z score of smallest man

= ( 176.55 - 120.2 ) / 7.23

= 7.79

Since Z - score of tallest man is more , his height was more extreme .