Word Problems: When to Use Mean, Median, and Mode

A team's performance on a game is scored by averaging the number of points scored by each player. If the Blue team's players scored $8$, $4$, $6$, $2$, $3$, and $12$ points and the Red team's players scored $5$, $3$, $6$, $8$, $11$, and $4$ points, which team won? What was the winning team's average?