Given:
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.
To find:
The mean difference in game scores over the five games.
Solution:
Total number of games = 5
Scores in 5 matches are 7, -3, 4, -2, 9.
Positive sign is used for winning and negative sign is used for losing the game.
We know that,
[tex]Mean=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]
[tex]Mean=\dfrac{7-3+4-2+9}{5}[/tex]
[tex]Mean=\dfrac{20-5}{5}[/tex]
[tex]Mean=\dfrac{15}{5}[/tex]
[tex]Mean=3[/tex]
Therefore, the mean difference in game scores over the five games was 3.
