# Non-normally distributed data -- what can I do with the z-scores?

layman here...

I have some sets of several hundred scores that are not distributed normally. I want to normalize these scores onto a percentile scale.

The mean-median-mode for these look like this:

3-2-0,
1-1-0,
9-3-0,
1-5-5,


I have calculated the variance/std dev and z scores for these, but now I'm not sure what to do with this info. What good are z scores when the distribution isn't normal? What's the best way to get a normalized percentile score for these?

• It would be, ... well, abnormal to use the term "abnormal" to describe data that is not normally distributed. "Non-normal" or simply 'not normal' would be more ... normal. Aug 23, 2014 at 11:54
• Are your data all integers? Aug 23, 2014 at 22:19