The mode for the following frequency distribution

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