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:
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