Question

The tallest living man at one time had a height of 255 cm, and the shortest living man had a height of 123.6 cm. The heights of men at the time had a mean of 173.44 cm and a standard deviation of 7.62 cm. Which of these two men had a height that was more extreme?

a. Tallest living man
b. Shortest living man
c. Both had equally extreme heights
d. Cannot be determined

Answer 1

The tallest living man had a height that was more extreme.

Step-by-step explanation:

To determine which of the two men had a height that was more extreme, we need to compare their heights to the mean and standard deviation of the heights of men at that time.

The tallest man had a height of 255 cm, which is 81.56 cm above the mean height of 173.44 cm. The shortest man had a height of 123.6 cm, which is 49.84 cm below the mean height.

Since the tallest man's height is further away from the mean than the shortest man's height, we can conclude that the tallest living man had a height that was more extreme.