Use z scores to compare the given values.
The tallest living man at one time had a height of 259 cm. The shortest living man at that time had a height of 40.6 cm. Heights of men at that time had a mean of 174.37 cm and a standard deviation of
8.14 cm. Which of these two men had the height that was more extreme?
Since the z score for the tallest man is z= blank and the z score for the shortest man is z= blank, the blank man had the height that was more extreme.
Solution: We are given the mean height of men cm and standard deviation cm
Now, let's find the z score of the tallest living man.
rounded to two decimal places
Now, let's find the z score of shortest man.
rounded to two decimal places
We clearly see the shortest man had the height that was more extreme.
Since the z score for the tallest man is and the z score for the shortest man is , the shortest man had the height that was more extreme
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