I had to take out zeros because of the way that my dataset counts points in elim rounds as zeroes. While I was at it, I figured that I would limit the range even further to the set of points that are more typical. While there are certainly some instances in which judges give points less than 27, it's overall quite rare and is probably not indicative of overall trends.
And finally, a boxplot. Though boxplots are kind of clunky, I think that this graphic is actually kind of useful for concretely seeing the difference between the two sets of point distributions. To read the boxplot:
- The horizontal lines in the middle are the medians.
- The box itself represents the middle 50% of points.
- Dotted areas are considered outliers.
1. 28.5 is the median for all points. About 9% of speeches are better than a 29, and about 12% are worse than a 28.
2. 28.7 is the median for elim participants. About 10% are better than 29.2, and about 11% are worse than 28.3
3. 28.8 is the median for elim participants at a major national tournament. About 10% are better than a 29.3, and about 9% are worse than a 28.4
3. If you assign somebody points below around a 28, you're basically saying that they have no place in elimination rounds. In all reality, the cutoff for this is probably higher, especially at a large national tournament.