Example Construction of Frequency Distribution
Construct a frequency distribution with suitable class interval size of marks obtained by 50 students of a class are given below:
23, 50, 38, 42, 63, 75, 12, 33, 26, 39, 35, 47, 43, 52, 56, 59, 64, 77, 15, 21, 51, 54, 72, 68, 36, 65, 52, 60, 27, 34, 47, 48, 55, 58, 59, 62, 51, 48, 50, 41, 57, 65, 54, 43, 56, 44, 30, 46, 67, 53
Solution:
Arrange the marks in ascending order as
12, 15, 21, 23, 26, 27, 30, 33, 34, 35, 36, 38, 39, 41, 42, 43, 43, 44, 46, 47, 47, 48, 48, 50, 50, 51, 51, 52, 52, 53, 54, 54, 55, 56, 56, 57, 58, 59, 59, 60, 62, 63, 64, 65, 65, 67, 68, 72, 75, 77
Minimum Value = Maximum =
Range = Maximum Value – Minimum Value = =
Number of Classes =
Number of Classes =
Number of Classes =
Number of Classes = = or approximate
Class Interval Size () = = = or
Marks
Class Limits C.L 
Number of
Students 
Class
Boundary C.B 
Class
Marks 





























Note: For finding the class boundaries, we take half of the difference between lower class limit of the 2nd class and upper class limit of the 1st class. This value is subtracted from lower class limit and added in upper class limit to get the required class boundaries.
Frequency Distribution by Exclusive Method
Class Boundray C.B

Frequency
















