#statistics 

**Standard score** - any unit-free scores expressed relative to a known [[Measures of central tendency|mean]] and a known [[Measures of variability|standard deviation]]

## [[Z scores]]

## Transformed standard scores
**Transformed standard score** - a standard score that, unlike a z score, usually lacks negative signs and deecimal points.

$\LARGE z'$ = desired mean + ($\LARGE z$) (desired standard deviation)

Conversion example:
A z score of -1.00 is a T score of 40 in a distribution of T scores with a mean of 50 and a standard deviation of 10.
![[Pasted image 20230902193012.png]]