Mean Worksheets

Welcome to our Mean Worksheets page.

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.

These worksheets are aimed at students in 5th and 6th grade.

Mean Worksheets

What is the Mean?

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.

Mean Worksheets

We have split these worksheets into two sections:

  • Find the Mean Worksheets
  • Use the Mean to Find the Missing Data Point Worksheets

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 and includes examples with decimals and fractions (halves only).

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

Sheets 1,2 and 3 are suitable for 5th grade and 6th grade.

Sheet 4 is designed for 6th grade and up.

Find the Mean Worksheets

How To Use the Mean to Find a Missing Data Point

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 difference between the answer in Step 2 and the answer in 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.

Missing Data Point Worksheets

The first two sheets are suitable for 5th and 6th graders.

The third sheet is designed for 6th grade and up.

More Recommended Math Worksheets

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

Median Worksheets

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.

Mode and Range Worksheets

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.

Mean Median Mode and Range Worksheets

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.

Bar Graph Worksheets

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.

Find the Mean Online Quiz

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.

We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.

For more information on the information we collect, please take a look at our Privacy Policy

We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick quiz tests your knowledge and skill at finding the mean and using the mean value to find missing data points..

 

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How to Print or Save these sheets 🖶

Need help with printing or saving?
Follow these 3 steps to get your worksheets printed perfectly!

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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

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