# How can I curve a test grade knowing only the average and the highest score?

I am trying to get a raw score for my test grade, but I don't know anything about the distribution of test grades; all the information I have is the average and the highest score (and of course my own grade). Can I curve my grade based on this information? The method of curving doesn't matter, and the raw score doesn't need to be my "actual" grade. Here is the context:

I am moderating a competition between me and my friends, and we are split into different teams. The teams get points based on their test averages, but since we are all taking different courses with different difficulties I need a way to be able to fairly turn each grade into a raw score. Again, the curving method doesn't matter; all that matters is that it's constant for everyone. Does anyone know how to do this?

• So to formalize your question, are you looking for a formula that will map the highest score to let's say 100, the average score to 50, and... a zero score to 0? – Rahul Feb 21 '16 at 21:06
• I suppose so, yes. – Niko Feb 21 '16 at 21:09