# Merging two differently ranked data sets

I have two sets of ranked data which are ranked on different scales, one fixed and one variable, and I would like to convert one of the data sets ranking values to match the other.

Set 1 is ranked 10 - 1 with 10 being the highest rank. Set 2 is ranked 1 - x with 1 being the highest rank and x being the number of items in the set.

Is it possible to convert the ranking of set 2 to fit into set 1?

Thanks, Phil

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Not everything involving sets is set-theory, just like not everything that has the capital letter K involved is K-theory. –  Asaf Karagila Jan 18 '11 at 14:52
This isn't my subject area so didn't really know which category this fit into. Apologies if it caused confusion. –  philb0 Jan 18 '11 at 16:24

You can take the rank of an item of rank $r_1$ in set 1 and set $r_2=\frac{(x-1)(10-r_1)}{9}+1$. This will linearly map the set 1 ranks into the range of set 2. Is this what you are looking for?