Mean average for children

Quick answer

The mean average is the fair share you get when you share a group of numbers equally. You find it by adding all the numbers together and then dividing by how many numbers there are.

Learning outcome

By the end of this page, you will understand how to find the mean average of a set of numbers, and you will be able to use it to share things fairly.

• You can add a group of numbers together
• You can divide a total by how many numbers you have
• You can explain what the mean average shows about a group of numbers
• You can solve problems using the mean average in real life

Why this matters

Mean averages help us find fair shares when we have different amounts. They are used in many everyday situations like sharing pocket money, finding your average test score, or working out how many cookies each person gets if you have a batch.

In games, sports, and even cooking, knowing how to find the mean average helps you make fair decisions. It’s a useful skill for everyone, from children to grown-ups!

How it works

Here’s how to find the mean average:

1. Add all the numbers together
2. Count how many numbers you have
3. Divide the total by the number of numbers

For example, if you have 4, 6, 8, and 2, you would:

• Add them: 4 + 6 + 8 + 2 = 20
• Count how many numbers: 4
• Divide the total by the count: 20 ÷ 4 = 5

The mean average is 5. This means if you shared 20 things equally among 4 people, each person would get 5.

Examples you can see

Let’s look at some examples you can imagine or act out:

Example 1: Sharing Snacks

Imagine you and your 3 friends have 12, 8, 10, and 6 cookies. You want to share them equally.

Add them: 12 + 8 + 10 + 6 = 36

Count how many people: 4

Divide: 36 ÷ 4 = 9

Each person gets 9 cookies.

Example 2: Sports Scores

Tommy plays 5 games and scores 10, 15, 8, 12, and 11 points.

Find the mean average of his scores:

• Add: 10 + 15 + 8 + 12 + 11 = 56
• Count games: 5
• Divide: 56 ÷ 5 = 11.2

Tommy’s average score is 11.2 points per game.

Example 3: Age of Family Members

Here are the ages of your family members: 3, 8, 25, 30, 50.

• Add: 3 + 8 + 25 + 30 + 50 = 116
• Count: 5
• Divide: 116 ÷ 5 = 23.2

The average age is 23.2 years.

Try it as a mini adventure

Adventure: The Cookie Sharing Challenge

You are the leader of a cookie club. You and your 4 friends each have a different number of cookies:

• You have 7 cookies
• Friend A has 9 cookies
• Friend B has 5 cookies
• Friend C has 11 cookies
• Friend D has 3 cookies

Your challenge is to share all the cookies equally among everyone. How many cookies does each person get?

Step 1: Add all the cookies together

Step 2: Count how many people

Step 3: Divide the total by the number of people

Step 4: Share the cookies equally

What is the mean average?

Common mistakes

• Mistake: Forgetting to add all numbers together before dividing.
• Why it happens: Kids might think it's okay to just divide one number by the count.
• Fix: Always add all numbers first. Then divide by how many numbers there are.

• Mistake: Counting the wrong number of items when dividing.
• Why it happens: Kids may miscount the number of people or numbers in a list.
• Fix: Count carefully. You can double-check by writing down each number and counting them one by one.

• Mistake: Thinking that the mean average must be a whole number.
• Why it happens: Children often expect fair shares to be whole numbers.
• Fix: The mean average can be a decimal or fraction. It’s still fair!

Parent and carer guide

Helping your child understand the mean average is easy and fun:

1. Use everyday examples: Talk about sharing snacks, pocket money, or points in a game.
2. Count together: Let your child help count how many numbers there are in a set.
3. Visualise: Use blocks, counters, or drawings to show how numbers are shared.
4. Practice: Give your child a few sets of numbers to find the mean average of.
5. Be patient: It might take a few tries to get it right. That’s okay!

Remember: The goal is not to get the answer perfectly right every time, but to understand the process. Celebrate your child’s effort and progress!

Practice questions

1. Find the mean average of 6, 10, 8, and 4.
2. Tom scored 12, 15, 10, 14, and 11 points in a game. What is his average score?
3. There are 5 apples in each of 4 bags. What is the average number of apples per bag?
4. Find the mean average of 3, 7, 12, 5, and 8.
5. If you have 15, 20, 25, and 10, what is the mean average?

Answers:

1. 6 + 10 + 8 + 4 = 28, 28 ÷ 4 = 7
2. 12 + 15 + 10 + 14 + 11 = 62, 62 ÷ 5 = 12.4
3. 5 bags with 5 apples each = 25 apples total, 25 ÷ 5 = 5
4. 3 + 7 + 12 + 5 + 8 = 35, 35 ÷ 5 = 7
5. 15 + 20 + 25 + 10 = 70, 70 ÷ 4 = 17.5

FAQ

What is the mean average?

The mean average is the number you get when you add up all the numbers and then divide by how many numbers there are.

Why do we use the mean average?

We use it to find a fair share when we have different amounts. It helps us understand what a typical value is in a group.

Can the mean average be a decimal?

Yes! It can be a whole number or a decimal. For example, if the average is 5.5, that means the fair share is 5 and a half.

Is the mean average the same as the median?

No. The median is the middle number when you arrange the numbers in order. The mean average is the total shared equally.

How can I help my child practice mean averages at home?

You can use everyday situations like sharing snacks, scoring points in games, or counting how many toys each person has. Ask your child to add up the numbers and then divide by how many there are.