Hi -(adsbygoogle = window.adsbygoogle || []).push({});

I have a quick question. I understand that the sum of two normal distributions is a normal distribution. Now let's say I have the z-score from one normal distribution and the z-score of another set of data that is also normally distributed and a third and a fourth etc.

I just want to know if it is mathematically allowed to ADD the z-scores together? I do not care too much about the probability (p-value). I would like to know if it is allowed and are there any internet references on this topic?

Thank you very much.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Adding normal distribution - z-scores

**Physics Forums | Science Articles, Homework Help, Discussion**