A basketball team played five games. In those games, the team won by 7 points, lost by 3, won by 4, lost by 2, and won by 9. What was the mean difference in game scores over the five games?
To find the mean difference in game scores, we need to calculate the average of the differences between each game.
Let's calculate the differences for each game:
Game 1: Won by 7 points
Game 2: Lost by 3 points
Game 3: Won by 4 points
Game 4: Lost by 2 points
Game 5: Won by 9 points
Now, let's calculate the differences between each game:
Difference between Game 1 and Game 2: 7 - (-3) = 10
Difference between Game 2 and Game 3: -3 - 4 = -7
Difference between Game 3 and Game 4: 4 - (-2) = 6
Difference between Game 4 and Game 5: -2 - 9 = -11
Now, let's calculate the mean difference by summing up the differences and dividing by 5 (the number of games):
(10 + (-7) + 6 + (-11)) / 5 = -2
Therefore, the mean difference in game scores over the five games is -2.
To find the mean difference in game scores, we need to calculate the average difference of all the game scores.
First, let's calculate the differences for each game by subtracting the opponent's score from the team's score:
Game 1: 7 points (team's score) - 0 points (opponent's score) = 7 points
Game 2: 0 points (team's score) - 3 points (opponent's score) = -3 points
Game 3: 4 points (team's score) - 0 points (opponent's score) = 4 points
Game 4: 0 points (team's score) - 2 points (opponent's score) = -2 points
Game 5: 9 points (team's score) - 0 points (opponent's score) = 9 points
Next, let's calculate the sum of all the differences:
7 points + (-3 points) + 4 points + (-2 points) + 9 points = 15 points
Lastly, to find the mean difference, divide the sum of the differences by the number of games (5 in this case):
Mean difference = 15 points / 5 games = 3 points
Therefore, the mean difference in game scores over the five games is 3 points.
To find the mean difference in game scores over the five games, we need to calculate the average of the differences between the scores of the games.
Step 1: Calculate the differences between the scores of each game.
Win by 7 points: +7
Lost by 3 points: -3
Win by 4 points: +4
Lost by 2 points: -2
Win by 9 points: +9
Step 2: Add up all the differences.
+7 + (-3) + 4 + (-2) + 9 = 15
Step 3: Divide the sum by the number of games.
15 divided by 5 = 3
The mean difference in game scores over the five games is 3.