Respuesta :
Answer:
more the z-score more will be the extreme. therefore tallest man has high extreme
Step-by-step explanation:
Formula for z-score: [tex]\frac{X-\mu }{\sigma}[/tex]
where
X is height of tallest man
μ mean height
σ is standard deviation
z score for tallest is
z-score = [tex]\frac{ 262 - 175.32}{8.17} = 10.60[/tex]
similarly for shortest man
z-score = [tex]\frac{68.6 - 175.32}{8.17} = - 13.06[/tex]
more the z-score more will be the extreme. therefore tallest man has high extreme
Answer:
The shortest living man's height was more extreme.
Step-by-step explanation:
We have been given that the the tallest living man at one time had a height of 262 cm. The shortest living man at that time had a height of 68.6 cm. Heights of men at that time had a mean of 175.32 cm and a standard deviation of 8.17 cm.
First of all, we will find z-scores for both heights suing z-score formula.
[tex]z=\frac{x-\mu}{\sigma}[/tex]
[tex]z=\frac{68.6-175.32}{8.17}[/tex]
[tex]z=\frac{-106.72}{8.17}[/tex]
[tex]z=-13.06[/tex]
[tex]z=\frac{x-\mu}{\sigma}[/tex]
[tex]z=\frac{262-175.32}{8.17}[/tex]
[tex]z=\frac{86.68}{8.17}[/tex]
[tex]z=10.61[/tex]
Since the data point with a z-score [tex]-13.06[/tex] is more away from the mean than data point with a z-score [tex]10.61[/tex], therefore, the shortest living man's height was more extreme.
