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Question

Question: Find out the modal class for the following table: X| 1-3| 3-5| 5-7| 7-9| 9-11 ---|---|---|-...

Find out the modal class for the following table:

X1-33-55-77-99-11
Frequency26435

A) 1-3
B) 3-5
C) 5-7
D) 7-9

Explanation

Solution

Here we will use the basic concept of the modal class. We will find the class who has the maximum frequency among all the available classes. Then the class with the maximum frequency is the modal class.

Complete Step by Step Solution:
We will select the modal class from the given data in the question by selecting the maximum frequency class.
Modal class is generally used in the calculation of the mode of the data given. Modal class also means the class which occurs more often in the given data.
Modal class is the class with the maximum frequency in the data given.
Hence the maximum frequency given in the data is equal to 6 and the corresponding associated class with the maximum frequency is 3-5.
So then according to the definition of the modal class, class 3-5 is the modal class.
Hence the modal class from the given data is 3-5.

So, option B is the correct option.

Note:
Statistics is the science of collecting some data in the form of the number and studying it to forecast or predict its future possibility. We should know that frequency is defined as the number of times a value or some particular data is repeating itself. Frequency array helps us a lot for the prediction and probability purpose and it also helps us to analyze the real-life data like to predict the sale of some specific product or to analyze the sales of the same type of products in the market. Also, the frequency distribution is defined as the distribution of frequency corresponding to some class intervals.