Question

A volleyball team played five games, the team won by 7 points, lost by 3, lost by 2 , won by 4 and won by 9. What was the mean difference in scores over the five games.

Answer 1

3

Explanation:

Given:

A volleyball team played five games, the team won by 7 points, lost by 3, lost by 2 , won by 4 and won by 9

To find : the mean difference in scores over the five games

Solution:

Mean basically refers to sum of all observations divided by number of observations.

The mean of scores over the five games refers to sum of all scores divided by 5.

Scores :

won by 7 points means + 7

lost by 3 means - 3

lost by 2 means - 2

won by 4 means + 4

won by 9 means + 9

Therefore,

sum of all scores = 7 - 3 - 2 + 4 + 9 = 15

Also, total number of games played by the team = 5

So, mean difference in scores over the five games = sum of all scores / total number of games played by the team = 15 / 5 = 3

Answer 2

The mean of a set of numbers is the average. In this problem, add all of the numbers together ( negative numbers for the losses) and then divide by the amount of games total.

Here are the numbers we have to use:

+7

-3

-2

+4

+9

the problem would be 7-3-2+4+9=15

Now divide 15 by your total amount of games which would be 5.

15/5=3

The average difference would be 3. Now a rule in math is to answer a word problem with a sentence.

The mean difference in scores over the five games played would be 3.

Hope this helps!