Welcome to the Math Salamanders Mean Worksheets.

Here you will find a wide range of free printable Worksheets,
which will help your child learn how to find the mean of a range of numbers,
and also how to find missing data points when the mean is given.

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The mean is the average of a set of numbers.

It is found by adding up the set of numbers and then dividing the total by the number of data points in the set.

How to find the mean

Step 1) Add up all the numbers in the set.

Step 2) Divide the total by the total number of data points in the set.

Examples

Example 1) Find the mean of 5, 7, 8 and 4

Step 1) Add up the numbers to give a total of 5+7+8+4=24

Step 2) Divide the total by the number of data points. 24 ÷ 4 = 6

Answer: the mean is 6.

Example 2) Find the mean of 8, 2, 5, 7 and 13

Step 1) Add up the numbers to give a total of 8+2+5+7+13=35

Step 2) Divide by the number of data points. 35 ÷ 5 = 7

Answer: the mean is 7.

These printable mean worksheets have been carefully graded to ensure a progression in the level of difficulty.

The first 2 sheets involve finding the mean of 3, 4 or 5 relatively small numbers.

The third sheet involves finding the mean of 3, 4 or 5 numbers up to 100.

The 4th sheet includes negative numbers as well as positive ones.

The Missing Data Point worksheets involve finding a missing data point, when there is one data point missing, and the mean is given.

These sheets are more complex than simply finding the mean of a range of numbers.

How to find a missing data point

Step 1) Add up all the numbers in the set.

Step 2) Multiply the mean by the total number of data points in the set.

Step 3) The missing data point is equal to the answer to Step 2 subtract the answer from Step 1.

Examples

Example 1) The mean of 4 numbers is 6. Three of the numbers are 4, 8, and 3. What is the 4th number?

Step 1) Add up the 3 numbers to give a total of 4+8+3=15

Step 2) Multiply the mean by the number of data points. 6x4=24

Step 3) The missing data point is the answer from Step 2 subtract the answer from Step 1 which is 25-15=9.

Example 2) Five numbers have a mean of 3. Four of the numbers are 7, 5, 2 and -4. What is the 5th number?

Step 1) Add up the numbers to give a total of 7+5+2+(-4)=10

Step 2) Multiply the mean by the number of data points. 3x5=15

Step 3) The missing data point is the answer to Step 2 - Step 1, which is 15-10=5.

Take a look at some more of our worksheets similar to these.

The sheets in this section will help you to find the median of a range of numbers, including negative numbers and decimals.

On some of the easier sheets, only odd numbers of data points have been used.

On the harder sheets, both odd and even numbers of data points have been included.

The sheets in this section will help you to find the mode and range of a set of numbers, including negative numbers and decimals.

There are easier sheets involving fewer data points, and harder ones with more data points.

The sheets in this section will help you to find the mean, median, mode and range of a set of numbers, including negative numbers and decimals.

There are easier sheets involving fewer data points, and harder ones with more data points.

The sheets in this section will help you to solve problems involving bar graphs and picture graphs.

There are a range of sheet involving reading and interpreting graphs as well as drawing your own graphs.

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