Some interesting takeaways from this weekend, since I don't really want to start studying for my tests this week.
The average winning alliance scored slightly under 44 points. The losing alliance scores are very much skewed towards zero. However, the average losing alliance scored just under 17 points.
The first minibot up the tower (without deploying any tubes) could have about 70% of the matches at BAE. In only about 10% of matches did the losing alliance break 40 points.
Attached are plots. The first is is a histogram of winning alliance scores. As you can see, it is relatively normal with a mean of about 44.
The 2nd is a histogram of all alliance scores. You can see that is significantly skewed towards zero.
The final, and perhaps most important, is a cumulative distribution function (CDF) of the losing alliance scores. Essentially, look at the bottom axis and pick a score. Then look up until you meet the red line (the red line is the empirical solution, the blue is the software trying to fit a normal curve to it). Then look over. That is the percentage of matches you would've won if your alliance had scored that many points.
Key takaways:
- Minibots win matches.
- To win the average match your alliance only needs to score 17 points.
- There is about a 30 point gap between the average winning and average losing score... wonder where that comes from... (see item #1)