Statistics: Mode

Mode

Welcome back friends, This is the second part of our statistics series.
In First part, we have look all the three methods to find mean: Direct Method, Assumed Mean Method & Step Deviation Method.
In this second part, we are going to study what is mode & how  to calculate it in an grouped data.

What is Mode?

According to Wikipedia, "The mode of a set of data values is the value that appears most often in the data set".

For Ex, If we have a data set say S, such that

S = {1,2,2,2,2,3,3,4,4,4,5,9,2,4}

Now in order to find the mode, we will simply count the occurrences of each element. The element having highest frequency will be our mode.
Element Frequency
1 1
2 5
3 2
4 4
5 1
9 1


Now from the table, it is clear that 2 occurs most often. Therefore, the mode of the data is 2.

 In the above case, the data is not so complex & can easily be counted. But, what about the grouped data, where the data is grouped in classes.Lets see, how we can calculate mode for that data.
First, we have to find the modal class. This is the class having the highest frequency.

After finding the modal class, we can find all the unknowns required to calculate the mode as shown in above.

 We can simply calculate the mode using the given formula.
You can also watch the video to see how mode is calculated using a solved example.


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Comments

  1. Bharat JainJune 16, 2018 at 1:26 PM

    Yours blogs are really helpful.Thanks a lot for such a good explanation.

    ReplyDelete

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