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: Midvalue 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
● Statistics
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