A basketball team played six games. In those games, the team won by 7 points, lost by 3 , won by 8 , won by 9 , lost by 2, and won by 11. What was the mean difference in game scores over the six games?
To find the mean difference in game scores, we need to calculate the sum of the differences and divide it by the number of games.
The differences in game scores are:
7 (game 1)
-3 (game 2)
8 (game 3)
9 (game 4)
-2 (game 5)
11 (game 6)
The sum of the differences is:
7 + (-3) + 8 + 9 + (-2) + 11 = 30
There are 6 games in total.
Therefore, the mean difference in game scores over the six games is:
30/6 = 5
To find the mean difference in game scores over the six games, you need to calculate the average difference between the team's score and the opponent's score for each game.
Here are the differences in game scores:
Game 1: +7
Game 2: -3
Game 3: +8
Game 4: +9
Game 5: -2
Game 6: +11
To calculate the mean difference, add up all the differences and divide by the total number of games:
Mean difference = (7 + (-3) + 8 + 9 + (-2) + 11) / 6
Mean difference = 30 / 6
Mean difference = 5
Therefore, the mean difference in game scores over the six games is 5 points.
To find the mean difference in game scores over the six games, we need to calculate the average of the differences between the winning and losing scores.
First, let's list the differences between the winning and losing scores:
7-3 = 4
8-3 = 5
9-3 = 6
9-2 = 7
11-2 = 9
Next, we will calculate the sum of these differences:
4 + 5 + 6 + 7 + 9 = 31
Finally, to find the mean difference, we divide the sum by the number of games (6):
31 / 6 = 5.17 (rounded to two decimal places)
Therefore, the mean difference in game scores over the six games is approximately 5.17.