Mode | What is mode?
The mode of a set of data is the value with the highest
frequency. A distribution having two modes is called bimodal. The mode of a set
of data is denoted by Mo.
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Mode of discrete data:
In the case of discrete data, mode can be
found by inspection, i.e. just by taking an item with highest frequency.
Example 1: Find the mode for the following distribution.
25, 18, 20, 18, 22, 18, 20, 18, 20
Solution: Here,
Arranging the data in ascending order:
18, 18, 18, 18, 20, 20, 20, 22, 25
Here, 18 has the highest frequency.
∴ Mode = 18.
Mode of grouped and
continuous data:
In the case of grouped and continuous data, the class with highest
frequency is observed and it is taken as the modal class. Then by using
following formula, mode can be computed.
Alternatively,
mode can also be computed by the following empirical relation.
Mode = 3 Median – 2 Mean
Example 2: Compute the mode from the data giveb below,
Age in years
|
3-6
|
6-9
|
9-12
|
12-15
|
15-18
|
18-21
|
No. of pupils
|
15
|
17
|
22
|
16
|
12
|
3
|
Solution: Here,
Here,
22 is the highest frequency and its corresponding class is 9-12
∴ Model class = 9-12
So, the required mode is
10.36
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