You can see how many standard deviations a score is from the mean of the distribution for a raw score or a z-score is by looking at the corresponding z-score.

Z-score may be defined as a position of the raw score in regard to the distance from its mean when it is measured in the units of standard deviation. Z-score is considered as positive, when the values is above the mean. And when it is below the mean, it is considered as negative.

Another name of a z-score is standard score. Z-score can be measured using the relation :

[tex]$z=\frac{x-\mu}{\sigma}$[/tex]

where, z = z-score

x = raw score

μ = population mean

σ = population standard deviation

Thus from the formula we can see how many standard deviation the score is from a men of the distribution by looking at the corresponding z-score.