Score statistics for week 1

[Bongle]

This is actually mainly for the granite state regional, as the other regionals didn't put their scores on usfirst.org

Red Average Score: 23.8
Blue Average Score: 25.4

Average winning margin: 18.2
Median winning margin: 11

Average score for a winning team: 33.7
Average score for a losing team: 15.4

Zero-related
% of matches with one team with zero: 35
Average score for a winning team where the losing team didn't get zero: 47
Average score for a losing team that didn't get zero: 23.8
Overall average score, excluding zeroes: 35.6

Interpretation: Half of all matches could be decided by 2 robots on the ramp, since the median score difference was 11. Blue does not have a statistically significant advantage over red (trust me on this one). Scoring a single point will win you your game 35% of the time, although as the graph below shows, most of the zero-scores occurred in the first 75 games, and were pretty rare afterwards. So scoring a single point very early in the regional will win much more often than 35%.

I can't think of any other numbers that people might want to know about. Hopefully as the weeks go on I'll update this and the graphs will get smoother as more data is collected.

Here are two graphs. The first is a histogram of all the scores. It shows the proportion of scores that fell into each of the ranges indicated on the x-axis. The second is a plot of the scores versus the time the score occurred in the regional. The x-axis indicates double the game number.