### Theory:

Let us recall what we learnt in class $$IX$$ about the mode of ungrouped frequency distribution.
Mode is defined as the number which occurs most frequently in the given set of data. That is, the observation having the maximum number of frequencies is called mode.
The mode of an ungrouped frequency distribution can be determined if the value of an item having the maximum number of frequencies.
Example:
Find the mode of the following data.

 Height (in cm) $$145$$ $$150$$ $$162$$ $$132$$ $$138$$ Number of students $$5$$ $$6$$ $$12$$ $$25$$ $$3$$

Solution:

Here, the number of students is the frequency. The maximum frequency is $$25$$.

Therefore, the height having the maximum frequency is $$132$$ $$cm$$.

Hence, $$132$$ is the mode.