I was going to mention the Putnam as well. The median for the test is sometimes zero. (Keep in mind that only college students with serious interest in mathemat

I was going to mention the Putnam as well. The median for the test is sometimes zero. (Keep in mind that only college students with serious interest in mathematics attempt the exam.) My freshman year of college, the median score was three points (out of 120), and this was considered an "easy" year.