In climate studies, usually the change in climatic parameters is presented in form of standardized anomaly. Say I got a standardized anomaly of 0.5 while analyzing long term temperature data. Can I assume that total change in temperature is 0.5 deg.C ?? As per formula, it comes out to be a unitless quantity. But many studies refer to those values with units same as those of data. Any explanations to this?

Pls share references if any !!