pic: OPRs compared via standard deviation distribution - 2008-2015

[nuclearnerd]

Originally Posted by Caleb Sykes

I'm curious to know what use you have in mind for these plots.

You're right that we would have to guess both the Average score, and the standard deviation to locate the curve, but our first-week guesses were remarkably accurate last year on both counts. Maybe it was beginners luck

OTOH, this chart suggests that the bottom ~10% and the top 10% are each usually 1 standard deviation below the mean, so if you can imagine 10 teams with different abilities, and guess what score the highest and the lowest of them will get (on average), you'd have a pretty good estimate of the mean and stddev. Then all you have to do is design a robot to score more than the high scoring team