Answer: The shortest living man at that time had the height that was more extreme.
Step-by-step explanation:
We will z scores to solve this exercise. The formula we need is:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Where [tex]x[/tex] is the raw score, [tex]\mu[/tex] is the mean and [tex]\sigma[/tex] is the standard deviation.
We know at that time heights of men had a mean of 170.53 centimeters and a standard deviation of 5.91 centimeters, then:
[tex]\u=170.53\\\\\sigma=5.91[/tex]
Knowing that the tallest living man at that time had a height of 230 centimeters, we get:
[tex]z=\frac{230-170.53}{5.91}\approx10.07[/tex]
And knowing that the shortest living man at that time had a height of 91.3 centimeters, we get:
[tex]z=\frac{91.3-170.53}{5.91}\approx-13.40[/tex]
Based on this, we can conclude that the shortest living man at that time had the height that was more extreme.
