Mode Formula of Grouped Data

For determining the mode in case of data is grouped, simple observation does not help. We use a special formula to calculate the mode in case of grouped data is given.

Mode Formula of Grouped Data is as follows :

Mode = l + [(f1 – f0) / (2f1 – f0 – f2)] × h

where,

  • l is the lower limit of the modal class.
  • h is the size of the class interval,
  • f1 is the frequency of the modal class,
  • f0 is the frequency of the class preceding the modal class, and
  • f2 is the frequency of the class succeeding the modal class.

Mode in Statistics | Definition, Formula and Examples

Mode is the most frequently occurring value in a given set of data. It is a measure of central tendency that is used in statistics.

In statistics, the mode is the number that comes the most frequently among a group of numbers. It is one of three measures of central tendency, alongside the mean and median. To determine the mode, count how frequently each number appears. The number that comes the most frequently is the mode. One disadvantage of using the mode as a measure of central tendency is that the data set can have no mode or multiple modes.

For example, if a set of numbers had the digits 1,2,2,3,3,3,4,4,5 then the mode would be 3.

Let’s learn the meaning and formula of mode in statistics with the help of solved examples.

Table of Content

  • What is Mode ?
  • Types of Mode in Statistics
  • Mode of Ungrouped Data
  • Mode Formula of Grouped Data
  • How to Find the Mode?
  • Merits and Demerits of Mode
  • Practice Problems on Mode

Similar Reads

What is Mode ?

Mode in statistics is the value that appears most frequently in a data set. It is a measure of central tendency and can be calculated for both numerical and categorical data....

Types of Mode in Statistics

Depending upon the number of modal solutions, mode is classified into the following categories:...

Mode of Ungrouped Data

To find the mode of the ungrouped dataset, we observe the most occurring value in the dataset. The values in the dataset must be rearranged either in increasing or decreasing order....

Mode Formula of Grouped Data

For determining the mode in case of data is grouped, simple observation does not help. We use a special formula to calculate the mode in case of grouped data is given....

How to Find the Mode?

Mode for grouped and ungrouped data can be calculated using different methods which are explained as follows:...

Merits and Demerits of Mode

Merits and Demerits of Mode are discussed below:...

Practice Problems on Mode

Question 1: Goals Scored by a Football TeamThe table below shows the number of goals scored by a football team in 10 matches. Calculate the mode of the number of goals scored by the team....

Solved Questions on Mode

Let’s solve some example questions on the concept of mode in statistics....

Mode Formula in Statistics- FAQs

What is Mode Definition in Statistics?...