I have a number of values, grouped by some category. For every category, I've calculated average and standard deviation. Now I want to calculate a score (say 1 to 1000) for every category.
I don't know what the maximum average nor maximum standard deviation is (data set will keep growing), but if necessary for this calculation, I can set a maximum for both (again, I'm assuming that might be necessary). But, I would rather use some sort of logarithmic growth formula, so I wouldn't need to worry as much about maximums.
What are the different options/formulas I can use to do this?