Question

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?

Answer 1

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.