How to Find the Mode (Mathematics Lesson)
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
6 7 7 9 10
Step 2
- 6 appears 1 time.
- 7 appears 2 times.
- 9 appears 1 time.
- 10 appears 1 time.
Step 3
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
6 6 7 7 9 10
Step 2
- 6 appears 1 time.
- 7 appears 2 times.
- 9 appears 1 time.
- 10 appears 2 times.
Step 3
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 Test
showHere's a second test on finding the mode.
Here's a third test on finding the mode.
Top Tip
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.
Note
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.