Maths-

General

Easy

Question

# The mode for the following frequency distribution

- 5
- 5.28
- 6
- 6.29

Hint:

**Mode formula :**

**Mode = **

**Where,**

- is the lower limit of the modal class
- h is the size of the class interval
- is the frequency of the modal class
- is the frequency of the class preceding the modal class
- is the frequency of the class succeeding the modal class

## The correct answer is: 6.29

### Given :

Steps for calculating Mode :

Step 1: Find the class interval with the maximum frequency. This is also called modal class.

From the table above Class interval (4 - 8) has maximum frequency of 8.

Thus, modal class is 4-8

Step 2: Find the size of the class. This is calculated by subtracting the upper limit from the lower limit.

Size of class (h)= Upper limit - lower limit = 8-4 = 4

Step 3: Calculate the mode using the mode formula:

Where,

- is the lower limit of the modal class
- h is the size of the class interval
- is the frequency of the modal class
- is the frequency of the class preceding the modal class
- is the frequency of the class succeeding the modal class

here,

= 4 ,

h = 4 ,

= 8 ,

= 4 and

= 5

Substituting these values

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