Class Limits in Exclusive and Inclusive Form

In class boundaries and class limits in exclusive and inclusive form we will mainly discuss about;

Class limits and class boundaries in exclusive and inclusive forms

Class interval, class mark, range of the data


Class limits in exclusive and inclusive form:

In exclusive form, the lower and upper limits are known as true lower limit and true upper limit of the class interval.

Thus, class limits of 10 - 20 class intervals in the exclusive form are 10 and 20.

 In inclusive form, class limits are obtained by subtracting 0.5 from lower limitand adding 0.5 to the upper limit.

Thus, class limits of 10 - 20 class interval in the inclusive form are 9.5 - 20.5.

Class size: Difference between the true upper limit and true lower limit of a class interval is called the class size.

Class size remains the same for all class intervals.

For the class interval 10 - 20

Class size is 10, i.e., (20 - 10 = 10)


Class mark: Mid-value of each class interval is called its class mark.

Class mark = ½ (Upper limit + Lower limit)

For the class interval 10 - 20

Class mark = (10 + 20)/2

                 = 30/2 = 15


Range: The difference between the maximum value and the minimum value of the observation is called the range.

In the above data, the maximum value is 24 and the minimum value is 0.

Therefore, range = 24 - 0 = 24

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