[FRC Blog] Changes to the Standard District Point System

[Caleb Sykes]

Originally Posted by AGPapa

Yes, the average of the previous data was 11.9 and the standard deviation was 4.44.

Interesting. The first graph you have there seems to have the normal distribution shifted to the right of the observed data. My guess is this is due to how you put the normal distribution into bins for the histogram.

It looks like you used bins with ranges of [2n, 2n+2) where n is the nth bin from the right. For example, for the 10/11 bin, did you take the normal distribution from [10,12) for the bin?

If you want to get the normal curve data to better align with the observed data on this histogram, try using bin ranges of [2n-1, 2n+1). That way, each bar is centered on it's respective W-L record. This doesn't account well for ties, but there have been few enough ties in the last few years that this effect should be negligible.