Range for children
Find the difference between the largest and smallest values.
Quick answer
Range is the difference between the biggest and smallest numbers in a set of data. To find it, you subtract the smallest number from the biggest number.
Learning outcome
By the end of this page, you will be able to find the range of a set of numbers by identifying the largest and smallest values, and then subtracting them.
- You can find the range of a set of numbers
- You can identify the biggest and smallest values in a list
- You can use subtraction to find the difference between two numbers
- You understand that range shows how spread out numbers are
Why this matters
Range is a way to understand how much numbers vary in a group. It's like knowing how far apart your friends are when you line them up from shortest to tallest. In real life, range helps you compare things like temperatures, scores in games, or how long it takes to do chores. Knowing the range helps you understand if numbers are close together or far apart. This is useful for making decisions, like choosing the best time to go to the park based on the temperature range, or deciding which team is more consistent at scoring points.
How it works
Let's learn how to find the range step by step:
- Look at all the numbers in your data set
- Find the biggest number (the maximum)
- Find the smallest number (the minimum)
- Subtract the smallest from the biggest
- The answer is the range
For example, if you have the numbers 3, 7, 2, 9, 5:
- Numbers: 3, 7, 2, 9, 5
- Biggest number: 9
- Smallest number: 2
- Subtract: 9 - 2 = 7
- Range: 7
Examples you can see
Here are some fun examples to help you understand range:
Example 1: Your pocket money
You get pocket money for 5 weeks: £2, £5, £3, £4, £6.
| Week | Pocket Money (£) |
|---|---|
| Week 1 | 2 |
| Week 2 | 5 |
| Week 3 | 3 |
| Week 4 | 4 |
| Week 5 | 6 |
Biggest number: 6
Smallest number: 2
Range: 6 - 2 = 4
Your pocket money varied by £4 over the 5 weeks.
Example 2: Football scores
Your football team scored these points in 4 matches: 2, 5, 3, 7.
| Match | Points Scored |
|---|---|
| Match 1 | 2 |
| Match 2 | 5 |
| Match 3 | 3 |
| Match 4 | 7 |
Biggest number: 7
Smallest number: 2
Range: 7 - 2 = 5
Your team's scores varied by 5 points.
Example 3: Temperature
Here are the temperatures in your town for a week: 10°C, 15°C, 12°C, 18°C, 14°C, 16°C, 13°C.
| Day | Temperature (°C) |
|---|---|
| Monday | 10 |
| Tuesday | 15 |
| Wednesday | 12 |
| Thursday | 18 |
| Friday | 14 |
| Saturday | 16 |
| Sunday | 13 |
Biggest number: 18
Smallest number: 10
Range: 18 - 10 = 8
The temperature varied by 8°C during the week.
Try it as a mini adventure
Adventure: The Treasure Hunt
You and your friends are going on a treasure hunt! You've found clues that give you numbers:
- Clue 1: 8 steps
- Clue 2: 3 steps
- Clue 3: 12 steps
- Clue 4: 5 steps
- Clue 5: 10 steps
Now you need to find the range of steps to know how much your steps vary!
- Look at all the numbers: 8, 3, 12, 5, 10
- Find the biggest number: 12
- Find the smallest number: 3
- Subtract: 12 - 3 = 9
- The range is 9 steps!
This means the number of steps varied by 9 steps from the shortest to the longest clue path.
Common mistakes
- Mistake: Forgetting to subtract, just listing the biggest and smallest numbers
- Why it happens: Kids might get excited about finding the numbers and forget the final step
- Fix: Always remember to subtract the smallest from the biggest
- Mistake: Mixing up biggest and smallest numbers
- Why it happens: It's easy to get confused when looking at many numbers quickly
- Fix: Read the numbers carefully or write them down in order from smallest to biggest
- Mistake: Thinking range is about how many numbers there are
- Why it happens: Some children confuse range with counting numbers
- Fix: Remember range is about the difference between the biggest and smallest
Parent and carer guide
Helping your child understand range is simple and fun:
- Start with everyday examples like temperatures, scores, or ages
- Use physical objects like counters or blocks to show numbers
- Practice together with your child's math homework or games
- Ask questions like "Which is the highest number?" and "What's the difference?"
- Don't worry if they make mistakes – that's how they learn!
When your child is learning, say things like:
- "Great job finding the biggest number!"
- "Let's double-check your subtraction"
- "What does the range tell us about these numbers?"
Remember, the goal is understanding, not perfect scores. Celebrate small wins!
Practice questions
- Find the range of: 4, 9, 2, 7, 5
- Find the range of: 10, 15, 8, 12, 18
- Find the range of: 20, 25, 15, 30, 22
- Find the range of: 1, 3, 6, 4, 2
- Find the range of: 100, 120, 90, 110, 130
Answers:
- Biggest: 9, Smallest: 2, Range: 7
- Biggest: 18, Smallest: 8, Range: 10
- Biggest: 30, Smallest: 15, Range: 15
- Biggest: 6, Smallest: 1, Range: 5
- Biggest: 130, Smallest: 90, Range: 40
FAQ
What is range in maths?
Range is the difference between the biggest and smallest numbers in a set of data.
Why do we need to know range?
Range helps us understand how spread out numbers are. It shows how much variation there is in a set of data.
Can range be negative?
No, range is always positive or zero. Since we always subtract the smaller number from the bigger number, we get a positive answer or zero if all numbers are the same.
What if all numbers are the same?
If all numbers are the same, the range is zero because there is no difference between the biggest and smallest numbers.
How is range different from mean or median?
Range shows how spread out numbers are. Mean is the average, and median is the middle number. They all help us understand data, but in different ways.