Question

The tallest living man at one time had a height of 261 cm. The shortest living man at that time had a height of 42.1 cm. Heights of men at that time had a mean of176.75 cm and a standard deviation of 7.86 cm. Which of these two men had the height that was more​ extreme?

Answer 1

The shorter man

Explanation:

The tallest living man at one time had a height of 261 cm. The shortest living man at that time had a height of 42.1 cm. Heights of men at that time had a mean of 176.75 cm and a standard deviation of 7.86 cm. Therefore, the shorter man had a more extreme height.

(261 + 42.1) ÷ 2 = 155.55 cm

Answer 2

the shorter man

Explanation:

The average of the heights of the two men is ...

(261 +42.1)/2 = 155.55 . . . cm

This value is lower than the population average, so the shorter man must be farther from average than the taller man is.

The shorter man had the more extreme height.