## What you need to know

**Things to remember:**

- This most is the most common number
- You don’t need to order your numbers, you can just count them, ignoring ones that don’t appear often.

There are two key pieces of information we need to learn:

**Frequency**is a fancy way of saying “how often something happens”**Mode**is a fancy way of saying “the most frequent thing”

*Find the mode of the following set of data*

3 4 6 5 2 1 5

We can find the mode in one of two ways:

**Method 1:** Order the numbers.

1 2 3 4 5 5 6

We can now easily see that 5 is the most frequent, so must be our mode.

**Method 2:** Frequency table

*Hint: **Remember, frequency is just how many times we see something.*

Number Frequency

1 1

2 1

3 1

4 1

5 2

6 1

What would happen if we changed the 6 to a 3?

*Find the mode of the following set of data*

3 4 3 5 2 1 5

Number Frequency

1 1

2 1

3 2

4 1

5 2

Well, now, there are two numbers that appear the most, 2 and 5. Because of this, we say that there are two modes and that the data is “bimodal”. If there were three modes, it would be called “trimodal”.

Modes don’t just have to be concerned with numbers.

*A student records the colour of cars that drive by, which was the modal car colour?*

Car colour Frequency

Red 12

Blue 23

Black 15

Yellow 6

Green 10

Looking at the frequencies, blue was the most common car colour, so is the mode.

## KS3 Maths Revision Cards

(77 Reviews) £8.99## Example Questions

**Question 1:** Find the mode of the following set of data:

5 8 1 2 9 2 0 1 3

Number Frequency

0 1

1 2

2 2

3 1

5 1

8 1

9 1

1 and 2 are the modes. This data is bimodal.

**Question 2:** Students are asked what their favourite fruit is, which was the modal fruit?

** Fruit Frequency**

Apple 9

Banana 3

Mango 7

Durian 1

Apples were the modal fruit.

## KS3 Maths Revision Cards

(77 Reviews) £8.99- All of the major KS2 Maths SATs topics covered
- Practice questions and answers on every topic

- Detailed model solutions for every question
- Suitable for students of all abilities.