Question

The tallest living man at one time had a height of 241 cm. The
shortest living man at that time had a height of 126.5 cm. Heights
of men at that time had a mean of 170.29 cm and a standard
deviation of 6.72 cm. Which of these two men had the height that
was more extreme?

Since the z score for the tallest man is zequals

nothing and the z score for the shortest man is zequals

Answer #1

Given in the question

Mean heights of men = 170.29

Standard deviation of heights of men = 6.72

Tallest living man height = 241

Shortest living man height = 126.5

To calculate these two men height that was more extreme, we will
Calculate Z scores which can be calculated as

Z-Score = (X-mean)/Standard deviation

Z-score for Tallest man = (241-170.29)6.72 = 10.52

Z-Score for shortest man = (126.5-170.29)/6.72 = -6.52

Here we can see that since the Z score for the tallest man is 10.52
and Z-score for the shortest man is -6.52, which says that tallest
man had the height that was more extreme.

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