What is the average final score for the final Division 1 NCAA mens basketball game?
I am assuming that what you are really looking for is the magic
answer to type into the "tie-breaker" box of your bracket. Usually
a tournament bracket asks players to predict the final score of the
championship game as a tie breaker.
By taking the final scores since 1939 and adding the two scores together (winner plus loser) and then performing statistical analysis on that data, we get a simple mean score of 136.67, and within a 99% confidence interval, the mean is between 128 and 145.
That means that any number between 128 and 145 (both scores added together) is a good answer to the box. After that it's mostly luck. Good luck!
The three-point line was added in the 1986-1987 season, so if we eliminate the scores from before 1986, then the average shifts to between 145 and 155 with a confidence interval of 90%.