Mode of Ungrouped Data
Mode: The value which occurs most is called mode. In other words the value of the observation which has maximum frequency in a data is called mode.

Illustration 10
The marks obtained by 10 students are as follows :
5, 6, 3, 7, 4, 6, 9, 2, 1, 6
Find the mode of the marks.
Solution
Arranging the data in ascending order
We get 1, 2, 3, 4, 5, 6, 6, 6, 7, 9
We can see that 6 occurs most of the time, hence 6 is the mode.

Illustration 11
Find the mode of the following data:
(i)     2, 2, 3, 3, 4, 4, 4, 5, 6, 6, 7
(ii)     31, 35, 36, 33, 32, 35, 36, 31, 34, 33, 36, 34, 32, 32, 36, 34.
Solution
(i)     4 occurs the maximum number of times, i.e., 3
Mode = 4
(ii)     Arranging data in the ascending order, we get
31, 31, 32, 32, 32, 33, 33, 34, 34, 34, 35, 35, 36, 36, 36, 36.
Here 36 occurs the maximum number of times, i.e., 4

Illustration 12
Find the mode from the following data: Solution
Here the maximum frequency is 7.
The marks obtained against 7 is 43
Hence,    Mode = 43 marks