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

Solution:
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.