1. Find Mode

2. To find Mode for ungrouped data
Mode is also a measure of central tendency.
The Mode can be calculated as follows:
To find Mode for ungrouped data
(Discrete data)
If a set of individual observations are given, then the Mode is the value which
occurs most often.
Example 1:-
Find the mode of 2, 4, 5, 2, 1, 2, 3, 4, 4, 6, 2.
Solution:
In the above example the number 2 occurs maximum number of times.
ie, 4 times. Hence mode = (ans)

3. Here 22 occurs 3 times and 25 also occurs 3 times
Example 2:-Find the mode of 22, 25, 21, 22, 29, 25, 34, 37, 30, 22, 29, 25.
Solution:-
Here 22 occurs 3 times and 25 also occurs 3 times
Both 22 and 25 are the modes for this data. We observe that there are two
modes for the given data.
Ans: Modes are 22 and 25.
Example 3:-
Find the mode of 15, 25, 35, 45, 55, 65,
Solution
Each value occurs exactly one time in the series. Hence there is no mode
for this data.
Ans: There is no Mode.

4. DO YOU KNOW?

5. To find Mode for grouped data (Frequency distribution)
If the data are arranged in the form of a frequency table,
the class corresponding to the maximum frequency is
called the modal class. The value of the variation of the
modal class is the mode.

6. Find the mode for the following frequency table.
Example:-1
Find the mode for the following frequency table.
Wages in Rs
250
300
350
400
450
500
Number of workers 10 15 16 12 11 13
Solution
Wages in Rs
Number of workers
250 10
300 15
350 16
400 12
450 11
500 13
Note:-We observe from the above table that the maximum frequency is 16.
The value of the variation (wage) corresponding to the maximum frequency 16
is 350. This is the mode of the given data.

7. TRY THESE 1. Find the mode for the following frequency table:
2. The demand of different shirt sizes, as obtained by a survey is given below.
Calculate the mode.