Question

A baseball team scored the following number of runs in its games during the current season: 6, 2, 5, 9, 11, 4, 5, 8, 6, 7, 5. There is one more game in the season. If the team wants to end the season with an average of atleast 6 runs

per game, what is the least number of runs the team must score in the final game of the season?

Answer 1

Answer: 14 runs

Explanation:

The average is the total number of runs divided by the number of games played. In order to work backwards to find the score of the final game, use this equation: (final game score = (average * total number of games) - total runs of all games played so far)

The total number of games in the season is 12. Multiply the average of 6 by 12 to find the total season score needed (6*12=72). Now add up the total number of runs from games 1-11 (6+2+5+9+11+4+5+8+6+7+5=58). Subtract this number from 72 to find the lowest possible score of the final game (72-58=14).