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Calculation of Mode

For determining mode, count the number of times the various values repeat themselves. The value that occurs the maximum number is modal value. The more often the modal value appears relatively, the more valuable it is as an average to represent mode.
 

Example

Calculate the mode from the following data.
 

Roll No    

1

2

3

4

5

6

7

8

9

10

Marks  

10

27

24

12

27

27

20

18

15

30

 

Solution

 

Marks 

No. of times it occurs

10

1

12 1
15 1
18 1
20 1
24 1
27 3
30 1
 

A set of data may have a single mode in which case it is said to be unimodal. It may have two modes which makes it bimodal or may have several modes and called multimodal. In this case it is said that the modal is ill defined.

For example the series.

110, 120, 130, 120, 110, 140, 130, 130, 120, 140

 

Size of the Item 

No. of items

110

2

120 3
130 3
140 2


Mode is ill defined in this case.

Since mode is ill defined, its value may be estimated using the following formula.

Mode = 3 median - 2 mean







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