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Finding the Mode
(KS2, Year 5)
The Lesson
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.Question
What is the mode of the test scores below?StepbyStep:
1
List the numbers in numerical order (going from the smallest to the largest number).
6 7 7 9 10
2
Count how often each number appears.
 6 appears 1 time.
 7 appears 2 times.
 9 appears 1 time.
 10 appears 1 time.
3
Find the number that appears most often.
Answer:
The mode of the test scores is 7.How Find the Mode When There Is More Than One
Sometimes there is more than one mode in a set of numbers.Question
What is the mode of the test scores below?StepbyStep:
1
List the numbers in numerical order (going from the smallest to the largest number).
6 7 7 9 10 10
2
Count how often each number appears.
 6 appears 1 time.
 7 appears 2 times.
 9 appears 1 time.
 10 appears 2 times.
3
Find the number that appears most often.
Answer:
The modes of the test scores are 7 and 10.Interactive Widget
Use this interactive widget to see the mean, median, and mode averages of your data set.Top Tip
The Mode Is The Most
Remember, the mode is the number that appears most!Beware
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
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.
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
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