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In Maths, the term mode is often used in conjunction with mean and median. Mean as we know is a type of average of a set of numbers. Let us now understand what does mode mean in maths terms.

Definition of mode
For a given set of numbers, Mode is the number that occurs the most frequently in the given list.

Calculation of mode:
In order to determine the mode of a set of numbers just arrange the numbers in ascending order and determine the number that occurs the maximum number of times. In case there is no number that repeats in the list, then this list does not have a mode.

Example:
To find the mode of { 3, 2, 5, 3, 9, 4, 10, 1, 2, 3, 7, 8, 10 }
Arrange the number in ascending order

1, 2, 2, 3, 3, 3, 4, 5, 7, 8, 9, 10, 10 

Let us now determine how many times the numbers repeat
1, 2 [2], 3 [3], 4, 5, 7, 8, 9, 10 [2]

As we can see numbers 2, 3 and 10 repeat but number 3 repeats the maximum number of times hence in this list 3 is the Mode.

Related terms:
Mean: For a given set of numbers, Mean is calculated as the sum of the numbers divided by the count of the numbers in the set. Hence the mean of 3, 3 and 6 is calculated as ( 3 + 3 + 6 ) / 3 = 4. 
 
Median: Median is the middle value in the list of numbers. To find the median, you will first need to arrange your numbers in ascending order and then pick the middle number.
In the set { 3, 4, 5 }, there are 3 numbers in the list so the median is the middle number that is 4.

Range: The range of a set of numbers is the difference between its largest number and the smallest number.
In the set { 3, 4, 5 }, the largest number is 5 and the smallest number is 3, so the range is calculated as 5 - 3 = 2.

Practice questions:

Question: Determine the mode of the following numbers
2, 3, 5, 3, 6, 7, 8,11,14
( Answer: 3 )

Question: Determine the mode of the following numbers
21, 22, 23, 24, 25
( Answer: No mode )

Question: Determine the mode of the following numbers
13, 4, 5, 13, 11, 21, 16, 14, 13, 5
( Answer: 13 )

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