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?Step-by-Step:
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?Step-by-Step:
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.
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.
finding the mode from a frequency table
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