in four games of basketball, michael scored 14, 9, 10 and 11 points. After one more game his mean was 12 points per game. how many points did he score in the fifth game?

11 points

No way. His average score for the first 4 games was 11 points.

No way could he raise his average to 12 by just scoring another 11!

You need to set it up like this:

14+9+10+11+x = 5*12

To find the number of points Michael scored in the fifth game, we need to calculate the total points he scored in all five games.

Total points = 14 + 9 + 10 + 11 + x, where x represents the number of points he scored in the fifth game.

The mean (average) of the points per game is given as 12, so we can set up the following equation:

(14 + 9 + 10 + 11 + x) / 5 = 12

To solve this equation, we need to isolate x, which represents the number of points Michael scored in the fifth game.

Multiply both sides of the equation by 5 to eliminate the denominator:

14 + 9 + 10 + 11 + x = 12 * 5

Combine the numbers on the left side:

44 + x = 60

Now, subtract 44 from both sides of the equation:

x = 60 - 44

x = 16

Therefore, Michael scored 16 points in the fifth game.