Data Statistics
Frequency tables
Count how often values or categories appear.
Quick answer
A frequency table shows how often each value or category appears in a set of data.Learning outcome
By the end of this page, you will be able to sort data into groups and count how many times each group appears, so you can see which items happen most often. Success signs:- You can make a list of items or categories
- You can count how many times each item appears
- You can record your counts in a table
- You can read a frequency table to see which items are most common
Why this matters
Frequency tables help us understand what happens most often in a group of things or people. They are useful in school for collecting and showing data, in sports to see who scores most often, and in everyday life to make decisions like choosing your favourite snack or planning a party. In games, you can use frequency tables to see which character or item you use most. In science, you might count how many times a plant grows each week. In cooking, you might track how many times your family eats different foods.How it works
To make a frequency table, follow these steps:- Collect your data (like what your friends like to eat)
- List all the different items or categories
- Count how many times each item appears
- Write your counts in a table
Examples you can see
Let's imagine you are helping to plan a party and want to know which snacks your friends like best. Step 1: Ask your friends what snacks they like.- Tom likes pizza
- Sarah likes sandwiches
- Emma likes pizza
- Ben likes sandwiches
- Lucy likes apples
- Tom likes pizza
- Sarah likes sandwiches
- Emma likes pizza
- Pizza
- Sandwiches
- Apples
- Pizza: 4 times
- Sandwiches: 3 times
- Apples: 1 time
| Snack | Frequency |
|---|---|
| Pizza | 4 |
| Sandwiches | 3 |
| Apples | 1 |
- 3, 5, 2, 3, 1, 3, 6, 2, 5, 3
- 1
- 2
- 3
- 4
- 5
- 6
- 1: 1 time
- 2: 2 times
- 3: 4 times
- 4: 0 times
- 5: 2 times
- 6: 1 time
| Number | Frequency |
|---|---|
| 1 | 1 |
| 2 | 2 |
| 3 | 4 |
| 4 | 0 |
| 5 | 2 |
| 6 | 1 |
Try it as a mini adventure
Adventure: The Pet Shop Survey You are the helper at a pet shop and need to find out what pets are most popular with visitors. Step 1: You watch 15 visitors and write down what pets they like best.- 1st visitor: Dog
- 2nd visitor: Cat
- 3rd visitor: Bird
- 4th visitor: Fish
- 5th visitor: Dog
- 6th visitor: Hamster
- 7th visitor: Cat
- 8th visitor: Dog
- 9th visitor: Fish
- 10th visitor: Bird
- 11th visitor: Dog
- 12th visitor: Cat
- 13th visitor: Fish
- 14th visitor: Hamster
- 15th visitor: Dog
- Dog
- Cat
- Bird
- Fish
- Hamster
- Dog: 5 times
- Cat: 3 times
- Bird: 2 times
- Fish: 3 times
- Hamster: 2 times
| Pet | Frequency |
|---|---|
| Dog | 5 |
| Cat | 3 |
| Bird | 2 |
| Fish | 3 |
| Hamster | 2 |
- Which pet is most popular?
- How many more dogs than hamsters are liked?
Common mistakes
- Mistake: Forgetting to count all the items.
Why it happens: It's easy to miss one or two items when you're looking at a list.
Fix: Go through your list again, or use a finger to point at each item as you count it. - Mistake: Writing the wrong number in the table.
Why it happens: You might confuse 3 with 4 or make a quick slip.
Fix: Double-check your counts by counting again or using a tally chart first. - Mistake: Not listing all the categories.
Why it happens: You might forget one or two items from your data.
Fix: Look through your list carefully and make sure you have all the different things you're counting.
Parent and carer guide
Help your child learn about frequency tables with these 5-minute activities:- Ask them to count how many times each letter appears in a short sentence or their name
- Use a bag of different coloured counters or toys and have them sort and count
- Play a quick game: "What is your favourite snack?" and make a table together
- Look at a simple chart or graph in a newspaper or book and talk about what it shows
- Use their toy collection to make a table of how many of each type they have
- "Can you show me how you counted?"
- "Which one appears most often?"
- "Let's double-check that number"
- It's okay if they make one or two small mistakes
- They don't need to know the formal name yet
- Frequency tables are about understanding data, not perfect accuracy
Practice questions
- Make a frequency table for these ice cream flavours: Chocolate, Vanilla, Strawberry, Chocolate, Vanilla, Chocolate, Vanilla, Vanilla, Strawberry, Chocolate.
- Count how many times each number appears in this list: 2, 4, 1, 3, 4, 2, 1, 4, 3, 2.
- How many times does the number 4 appear in your list from question 2?
- What is the most popular ice cream flavour in question 1?
- Make a frequency table for these colours: Blue, Red, Green, Blue, Green, Red, Blue, Red, Green, Blue.
-
Flavour Frequency Chocolate 4 Vanilla 4 Strawberry 2 -
Number Frequency 1 2 2 3 3 2 4 3 - 3 times
- Chocolate or Vanilla (they are tied)
-
Colour Frequency Blue 4 Red 3 Green 3
FAQ
What is a frequency table?
A frequency table is a way to show how many times each item or category appears in a group of data.
How do I make a frequency table?
First, list all the different items or categories. Then, count how many times each one appears. Finally, write your counts in a table with two columns: one for the items and one for the counts.
Why do we use frequency tables?
Frequency tables help us see patterns in data. We can quickly see which items happen most often, which helps us make decisions or understand information better.
Can I use frequency tables for numbers?
Yes! You can use frequency tables to count how many times each number appears in a list, like when you roll dice or count your scores in a game.
What comes after frequency tables?
After learning frequency tables, children often move on to bar charts, pictographs, and line graphs to show data visually.