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?