Question

One of the tallest living man has a hight of 246 cm. One of the tallest living women is 234 cm tall. Heights of men have a mean of 171 cm and a standard deviation of 7 cm. Heights of women have a mean of 160 cm and the standard deviation of 8 cm. Relative to the population of the same gender, who is taller?

Answer 1

The tallest man has a higher z-score, so he is taller relatively.

Explanation:

One of the tallest living man has a height of 246 cm.

One of the tallest living women is 234 cm tall.

Heights of men have a mean of 171 cm and a standard deviation of 7 cm.

Heights of women have a mean of 160 cm and the standard deviation of 8 cm.

The z-score for the tallest man is:

z =
`(246 -171)/7=75/7` = 10.714

The z-score for the tallest woman is:

z =
`(234-160)/8=74/8` = 9.25

The tallest man has a higher z-score, so he is taller relatively.