Rubik's Cube (and trimmed means)
First of all, who would have thought that Rubik's cubes were still about? And who would have thought that there was still a world championship?
But that's not what this post is about. There is a world championship, and each person has to solve 5 cubes - the mean score is the score that is used to determine the ranks. However, the problem with using time in any measure is that it tends to be positively skewed - you can't take less than no time, but you can take an awful long time. So what the cube people do is use a trimmed mean - that is, they remove the best and worst times, and find the average of all the rest. It's basically a way of discarding outliers, but doing it fairly.
But that's not what this post is about. There is a world championship, and each person has to solve 5 cubes - the mean score is the score that is used to determine the ranks. However, the problem with using time in any measure is that it tends to be positively skewed - you can't take less than no time, but you can take an awful long time. So what the cube people do is use a trimmed mean - that is, they remove the best and worst times, and find the average of all the rest. It's basically a way of discarding outliers, but doing it fairly.

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