the tallest living man at one time had a height of cm. the shortest living man at that time had a height of cm. heights of men at that time had a mean of cm and a standard deviation of cm. which of these two men had the height that was more​ extreme?



Answer :

Thus here, the height of the tallest person is more extreme as per the z-score.

What is the z-score?

  • Z-scores let statisticians and traders know whether a score falls within the norm for a given data set or deviates from it.
  • Analysts can also modify scores from multiple data sets using Z-scores to create scores that are more accurately compared to one another.
  • You may determine how many standard deviations you are from the mean by looking at the absolute value. A z-score of zero indicates that a value is on the mean. A Z-Score of +1 indicates that the value is one standard deviation above the mean.

Formula for z-score: [tex]\frac{X-\mu }{\sigma }[/tex]

Z-score for the tallest person = {258-176.07}/{7.32}

                                                    = 11.1926.

Similarly, Z-score for the shortest person = -7.0587.

The more the absolute value, the more extreme the value.

Thus here, the height of the tallest person is more extreme as per the z-score.

To learn more about z- score visit:

https://brainly.com/question/25638875

#SPJ4