Question

If the scores on a test have a mean of 26 and a standard deviation of 4, what is the z-score for a mean of 18?

Answer 1

Z(x)=(x- mean) / standard deviation

Z(18)=(18-26)/4=-2

Answer 2

If the scores on a test have a mean of 26 and a standard deviation of 4,  the z-score for a mean of 18 is -2.

Z-score

Using this formula

z = (x – μ) / σ

Where:

x=18

μ= Mean=26

Standard deviation=σ=4

Let plug in the formula

z=(18-26)/4

z-8/4

z=-2

Inconclusion If the scores on a test have a mean of 26 and a standard deviation of 4,  the z-score for a mean of 18 is -2.

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