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? The mean difference in game scores over the five games was

Answer 1

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,

`Mean=\frac{\text{Sum of observations}}{\text{Number of observations}}`

`Mean=(7-3+4-2+9)/(5)`

`Mean=(20-5)/(5)`

`Mean=(15)/(5)`

`Mean=3`

Therefore, the mean difference in game scores over the five games was 3.