# Finding the Mode

We can find the mode of a set of numbers.

Imagine a teacher wanted to find the class's average test score in mathematics.

# How to Find the Mode

The mode is found by counting how often each number appears in a set and selecting the one that appears most often.

#### An Example Question

What is the mode of the test scores?

Step 1
List the numbers in numerical order (going from the smallest to the largest number).
6 7 7 9 10
Step 2
Count how often each number appears.
• 6 appears 1 time.
• 7 appears 2 times.
• 9 appears 1 time.
• 10 appears 1 time.
Step 3
Find the number that appears most often.

The mode of the test scores is 7.

# A Real Example of How to Find the Mode

Sometimes there is more than one mode in a set of numbers.

#### An Example Question

What is the mode of the test scores?

Step 1
List the numbers in numerical order (going from the smallest to the largest number).
6 6 7 7 9 10
Step 2
Count how often each number appears.
• 6 appears 1 time.
• 7 appears 2 times.
• 9 appears 1 time.
• 10 appears 2 times.
Step 3
Find the number that appears most often.

The modes of the test scores are 7 and 10.

# Another Real Example of How to Find the Mode

The slider below gives another example of finding the mode.

# How to Find the Mode from a Frequency Table

Sometimes data is presented in frequency tables.

A frequency table representing the test scores is shown below:

It is possible to find that the mode of the test scores is 7.

Read more about finding the mode from a frequency table.

##### Interactive Widget
Here is an interactive widget to help you learn about the mode.
##### Interactive Test
show

Here's a second test on finding the mode.
Here's a third test on finding the mode.

# The Mode Is The Most

Remember, the mode is the number that appears most!

# There Isn't Always a Mode

Unlike the mean and median, there isn't always a mode.

If all numbers appear equally as often, there is no mode.

# What Is the Mode?

The mode is an average of a set of numbers.

The mode is the number that appears most often in a set of numbers.

It is possible for a set of numbers to have no mode or multiple modes.

# The Mode Can Be Used for Non-Numeric Items

The other averages (the mean and the median) only apply to numbers.

The mode can be used for items that are not numbers (non-numerica or categoric data).

Consider the list of words below:

"Dog" is the mode of this set. It appears more often than the other words.

# Unimodal, Bimodal, Multimodal

• A set of data with one mode is unimodal:

In the set above, 1 occurs most often, more than any other number. There is only one mode.

• A set of data with two modes is bimodal:

In the set above, 1 and 2 both occur the same number of times, which is more than any other number. There are two modes.

• A set of data with more than one modes is multimodal:

In the set above, 1, 2 and 3 all occur the same number of times, which is more than any other number.

# Other Types of Average

The most commonly commonly used types of average, other than the mode, are: