Question

Use z scores to compare the given values. The tallest living man at one time had a height of 246 cm. The shortest living man at that time had a height of 75.8 cm. Heights of men at that time had a mean of 174.22 cm and a standard deviation of 7.07 cm. Which of these two men 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▼

tallest

shortest

man had the height that was more extreme.

Answer #1

Let X be the height of the men

X follows normal distribution mean μ and standard deviation
σ

Given μ = 174.22 cm σ =
7.07 cm

Let X1 = 246 (Height of tallest
man)

z-score for X1 is

Let X2 = 75.8 (Height of shortest
man)

z-score for X2 is

Since the z-score for the tallest man is 10.15

and the z-score for the shortest man is -13.92

the

**shortest **

man had the height that was more extreme

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