Mode Formula
In statistics, the mode formula is used to calculate the mode or modal value of a given set of data. It is defined as the value that is repeatedly occurring in a given set. That means, the value or number in a data set, which has a high frequency or appears more frequently is called mode or modal value. Mode is one of the three measures of central tendency, apart from mean and median. Let us understand the mode formula in statistics in detail in the following section.
What is the Mode Formula?
Mode is one of the measures of the central tendency of a given set of data. Central tendency is that entity that describes a set of data by identifying the central position in the data set as a single value. Mode formula for grouped data is given as,
\(\begin{align}Mode = L + h\dfrac{(f_mf_1)}{(f_mf_1)(f_mf_2)}\end{align}\)
where,
 L is the lower limit of the modal class
 h is the size of the class interval
 \(f_m\) is the frequency of the modal class
 \(f_1\) is the frequency of the class preceding the modal class
 \(f_2\) is the frequency of the class succeeding the modal class
Let us understand the mode formula better using a few solved examples.

Example 1: Age of students = {14,15,16,15,17,15,18}. Find the mode of the given data set using the mode formula in statistics.
Solution:
Given set of data: {14,15,16,15,17,15,18}
Using the mode formula, we observe, there is only one value repeating itself. Therefore, it is a unimodal list.
Mode = {15}
Answer: Mode = 15

Example 2: Science score of students in a class = {85, 86, 88, 88, 91, 90, 86, 92, 95}. Find the mode.
Solution:
Given set of data: {85, 86, 88, 88, 91, 90, 86, 92, 95}
Using the mode formula, we observe that, since there are two repeating values, it is a bimodal list.
Mode = {86, 88}
Answer: Mode = {86, 88}