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### Total Points from Average Points

```
Date: 03/12/2001 at 21:12:17
From: monique fisher
Subject: Finding average or mean

Mandela's basketball team played six games, with an average or mean of
50 points. How many points did the team score?
```

```
Date: 03/13/2001 at 09:26:57
From: Doctor Patti
Subject: Re: Finding average or mean

Hello Monique,

Thank you for writing to Dr. Math.

Mandela's team played 6 games. Their average score was 50 points. The
average score is found by finding the total sum of the game scores and
then dividing the total by the number of games.

Average = ( Score total ) / 6

Let's look at two specific situations.

Situation 1:

Game 1:  42 points
Game 2:  10 points
Game 3:  84 points
Game 4:  51 points
Game 5:  62 points
Game 6:  51 points

In this case, the average score is 50 because

Score total = 42 + 10 + 84 + 51 + 62 + 51

= 300

and

Average = 300 / 6

= 50

Situation 2:

Game 1: 53 points
Game 2: 52 points
Game 3: 49 points
Game 4: 46 points
Game 5: 42 points
Game 6: 58 points

In this case the average score is also 50 because

Score total = 53 + 52 + 49 + 46 + 42 + 58

= 300

and

Average = 300 / 6

= 50

Do you notice a pattern? Look at the score totals.

I was able to these examples because:

- I knew the average was 50;
- six games were played;
- multiplication would give me the the score total;
- all I needed was to find six numbers whose total came to the
score total from the previous step.

I hope this helps you out. The answer is in the problem, but I hope
that you will see where the number comes from.  Please write back if
you have any other questions.

- Doctor Patti, The Math Forum
http://mathforum.org/dr.math/
```
Associated Topics:
Middle School Division
Middle School Statistics

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