#statistics 

**Z score** - a unit-free, standardized score that, regardless of the original units of measurement, indicates how many [[Measures of variability#^83e76e|standard deviations]] a score is above or below the mean on its [[Frequency distribution|distribution]]

$$\LARGE z = \frac{X-\mu}{\sigma}$$
## Use
![[Pasted image 20230902183014.png]]

![[Normal distribution#^2a5640]]
![[Normal distribution#^577352]]
![[Normal distribution#^72e350]]

Furthermore, you can use z scores for non-normal distributions, although you won't be able to consult the standard normal table in that case.
![[Pasted image 20230902190011.png]]