Thank you GretaGarbo and Dason. Now I can describe what the transform does with words and graphs. However, I am still confused when it comes to the formulas, especially the x's.
The formula for the CDF is
and putting X into this gives
.
So, if I have a dataset (x1, x2,...,x50) and I put them into the x in the first formula I get a CDF and if I put them in the X in the second formula I get a uniform. This is how I interpret the formulas and it cannot be correct. What am I missing?