Mode | What is mode?

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 M_o.

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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