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What is the Z-score if [tex]X = 10.1[/tex], the mean is [tex]5.5[/tex], and the standard deviation is [tex]2.3[/tex]?

Answer :

The Z-score if the mean is 5.5, the standard deviation is 2.3, and the x is 10.1, is given by z = 7.7

What is Z-score?

A z-score describes the position of a raw score in terms of its distance from the mean, when measured in standard deviation units.

Given that, we need to find the Z-score if the mean is 5.5, the standard deviation is 2.3, and the x is 10.1,

We know that,

z = 10.1−5.5/2.3, where μ is the mean and σ is standard deviation.

z = 10.1-2.4

z = 7.7

Hence, the Z-score if the mean is 5.5, the standard deviation is 2.3, and the x is 10.1, is given by z = 7.7

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