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Here we will learn about the mode or modal in maths, including what is and how to find it.

There are also mode worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.

The mode (or modal) is a type of average found by identifying the most frequently occurring item in the data set.

E.g. Find the mode

The most frequently occurring item is ‘1’ .

So 1 is the mode (or modal number).

The mode is special as it is the only type of average which can be used with categorical data. Categorical data uses words rather than numbers.

E.g. Find the mode

The most frequently occurring item is ‘blue’ – so ‘blue’ is the mode.

It is also the only average where there can be two different values. When this happens we say the data is **bimodal**.

E.g. Find the mode

The most frequently occurring item is ‘1’ and ‘3’ – so 1 and 3 are the modes (or modal number). This data is **bimodal **as it has 2 **modes**.

The mode or modal value is a measure of central tendency because it describes a set of numbers by identifying a central position within the data.

In order to find the mode:

**Find the most frequently occurring item.****Write down the answer.**

Get your free mode maths worksheet of 20+ mean, median, mode and range questions and answers. Includes reasoning and applied questions.

DOWNLOAD FREEGet your free mode maths worksheet of 20+ mean, median, mode and range questions and answers. Includes reasoning and applied questions.

DOWNLOAD FREE**Mode or modal** is part of our series of lessons to support revision on **mean, median, mode**. You may find it helpful to start with the main mean, median, mode lesson for a summary of what to expect, or use the step by step guides below for further detail on individual topics. Other lessons in this series include:

Find the mode of this data set:

**Find the most frequently occurring item.**

You will need to count the number of times the different words occur. The most common item is ‘red’. The number of times ‘red’ occurs is 3 times.

2**Write down the answer.**

The mode is red

Find the mode of this data set:

**Find the most frequently occurring item.**

You will need to count the number of times the different words occur. The most common item is ‘apple’. The number of times ‘apple’ occurs is 4 times.

**Write down the answer.**

The mode is apple

Find the mode of this list of number:

**Find the most frequently occurring item.**

You will need to count the number of times the different values occur. The most common item is ‘4’ . The number of times ‘4’ occurs is 3 times.

**Write down the answer.**

The mode (or modal value) is 4

Find the mode of this list of number:

**Find the most frequently occurring item.**

You will need to count the number of times the different values occur. The most common item is ‘25’ . The number of times ‘25’ occurs is 4 times.

**Write down the answer.**

The mode (or modal value) is 25

Find the mode of this list of number:

**Find the most frequently occurring item.**

You will need to count the number of times the different values occur. The most common items are ‘3’ and ‘5’ . They both occur 2 times and the other values only occur once.

**Write down the answer.**

The mode (or modal value) is 3 and 5

Find the mode of this list of number:

**Find the most frequently occurring item.**

You will need to count the number of times the different values occur. The most common items are ‘1’ and ‘3’ . They both occur 3 times and the other values only occur once.

**Write down the answer.**

The mode (or modal value) is 1 and 3

**Check which average you are being asked for**

Check if you have been asked for the median, mode or mean average.

**No mode?**

A data set can have 1 mode or 2 modes (bimodal). But it is possible that a data set has no mode at all.

**Item from the data set**

The mode will be the item – NOT the frequency.

E.g.

Find the mode:

There are 3 A s, 2 B s and 6 C s. The item which occurs the most often is ‘C’ . So the mode is ‘C’ . As ‘C’ occurs 6 times the frequency of C is 6 .

1. Find the mode:

red

blue

yellow

green

The most common item is ‘yellow’. The number of times ‘yellow’ occurs is 2 times. The other colours only occur once.

2. Find the mode:

Medium

Large

Small

There is no mode

The most common item is ‘small’. The number of times ‘small’ occurs is 3 times. ‘Medium’ occurs twice and ‘large’ once.

3. Find the mode:

2

3

4

1

The most common item is ‘1’ . The number of times ‘1’ occurs is 2 times. The other numbers only occur once.

4. Find the mode of this set of data:

6

2

2

and

6

There is no mode.

The most common item is ‘2’ . The number of times ‘2’ occurs is 3 times. The number of times ‘6’ occurs is 2 times, and the other numbers only occur once.

5. Find the mode of this set of numbers:

12

and

14

13

12

14

The most common items are 12 and 14 . They both occur twice. This data has two modes. It is bimodal.

6. Find the mode:

10

20

30

10

and

30The most common items are 10 and 30 . They both occur 3 times. This data has two modes. It is bimodal.

1. Here is a list of numbers:

Write down the mode.

(1 mark)

Show answer

17

For the correct answer only

(1)

2. Here is a list of numbers:

Write down the mode.

(1 mark)

Show answer

25

For the correct answer only

(1)

3. Theo did a survey of the colour of the cars passing his house. The cars were only red, black, silver or blue.

The chart shows the number of red cars, the number of black cars and the number of silver cars.

The total number of cars is 25 .

(a) Work out the number of blue cars.

(b) Write down the mode.

(3 marks)

Show answer

(a)

25-(7+5+9)

For subtracting the numbers of red, black and silver cars from the total number of cars

(1)

=4

For the correct answer

(1)

(b)

Silver

For the correct answer

(1)

You have now learned how to:

- Find the mode for categorical data
- Find the mode (or modal number) for numerical data

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