Simpson’s Paradox

Baseball is a game of statistics, but numbers can be deceiving. It’s possible for one batter to outperform another in both halves of the season and still receive a lower batting average:

First Half Second Half Total Season
Player A 4/10 (.400) 25/100 (.250) 29/110 (.264)
Player B 35/100 (.350) 2/10 (.200) 37/110 (.336)

This is an example of Simpson’s paradox, a mathematical quirk that arises occasionally in social science and medical statistics.