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Answer :
The Chihuahua is considered to be further from the mean.
What is z-score?
A z-score also called a standard score is a measure of how many standard deviations a data point is away from the given mean of a distribution.
It measures the unusual or extreme a particular data point is compared to the rest of the distribution
We have,
For the 112-pound Great Dane.
The z-score.
z = (x - μ) / σ
z = (112 - 128) / 12
z = -1.33 ____(1)
For the 12-pound Chihuahua.
The z-score.
z = (x - μ) / σ
z = (12 - 9) / 2
z = 1.5 ______(2)
From (1) and (2),
The z-score for the Chihuahua (1.5) is larger than the z-score for the Great Dane (1.33).
Thus,
We can conclude that the Chihuahua is considered to be further from the mean.
Learn more about z-score here:
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