# Mean (Average)

How to find the mean (average) of the given data: formula, examples, and their solutions.

## Formula

(mean) = (sum)/*n*

(mean): Average, Specifically the arithmetic mean

(sum): Sum of the data*n*: Total number of the data

The mean is one of the ways

to represent the whole data.

The other ways to represent the whole data

are the median and the mode.

Median

Mode

## Example 1

The sum of the test scores, (sum), is

60 + 70 + 80 + 90 + 100.

60 + 100 = 160

70 + 90 = 160

160 + 160 = 320

320 + 80 = 400

So the sum is 400.

The number of the test scores, *n*, is 5.

(sum) = 400*n* = 5

So (mean) = 400/5.

400/5 = 80

So 80 is the answer.

This means

the mean 80 represents

the given data {60, 70, 80, 90, 100}.

## Example 2: Mean from the Frequency Table

To find the mean from the frequency table,

make a column for (Scores)⋅(Frequency)

right next to the given table.

By using this column,

you can find the sum of the given data.

Write (Score)⋅(Frequency) column

by multiplying (Scores) and (Frequency).

0⋅1 = 0

1⋅1 = 1

2⋅4 = 8

3⋅7 = 21

4⋅5 = 20

5⋅2 = 10

Use (Scores)⋅(Frequency) column

to find the sum of the data.

(sum) = 0 + 1 + 8 + 21 + 20 + 10

= 60

Use the Frequency column

to find *n*: the number of the data.*n* = 1 + 1 + 4 + 7 + 5 + 2

= 20

(sum) = 60*n* = 20

So (mean) = 60/20.

60/20 = 3

So 3 is the answer.