That doesn't make sense - "best of the worst"
Let's say that the user had this scores:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 113, 14, 15
So, the lowest of his scores is 1. And the highest of that is, of course, 1! The maximum of the lowest score is always the lowest score!
Diego