Given:
The tallest living man at one time had a height of 233 cm. The shortest living man at that time had a height of 74.5 cm. Heights of men at that time had a mean of 176.75 cm and a standard deviation of 6.24 cm.
Required:
We need to find that which man had the height that was more extreme
Explanation:
The formula for z-score is
[tex]z-score=\frac{X-\mu}{\sigma}[/tex]
where
[tex]\begin{gathered} X\text{ is hirght} \\ \mu\text{ is mean} \\ \sigma\text{ is standard deviation} \end{gathered}[/tex]
put the values for tallest
[tex]z=\frac{233-176.75}{6.24}=9.01[/tex]
now for shortest
[tex]x=\frac{74.5-176.75}{6.24}=-16.39[/tex]
more the z-score more will be the extreme.
Final answer:
z-score for talles is 9.01
z-score for shortest is -16.39
and the extreme is tallest men
