To find the answer, we first need to find the total number of points Sarah has scored in the first five games. We can do this by adding up the points in each game: 8 + 12 + 10 + 6 + 14 = 50.
Next, we need to find the total number of games Sarah has played so far, which is 5.
The mean (average) score per game is calculated by dividing the total number of points by the total number of games: 50 / 5 = 10.
To find out what Sarah must score in game 6 to have a mean of 12 points scored per game, we need to take into account that the total score after game 6 will be the sum of the first five games' scores plus the score in game 6. Let's call the score in game 6 "x".
(50 + x) / (5 + 1) = 12
Simplifying the equation:
(50 + x) / 6 = 12
Multiplying both sides by 6:
50 + x = 72
Subtracting 50 from both sides:
x = 22
Therefore, Sarah must score 22 points in game 6 to have a mean of 12 points scored per game.
The correct answer is E. 22.
Sarah kept track of the points she scored during her first five basketball games in the table shown.
Game
1
2
3
4
5
Points Scored
8
12
10
6
14
What must she score during game 6 to have a mean of 12 points scored per game?
A. 10
B. 12
C. 14
D. 20
E. 22
1 answer
1 answer