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Exclusive Series

How to convert an inclusive series into an Exclusive series.

Pocket Expenses No of Students
(x) (f)
20-29 10
30-39 8
40-49 6
50-59 4
60-69 2

In the above table if a student has 29.5 or 39.5 pocket expenses these can be expressed only if the inclusive series is converted into an exclusive series. The following 2 steps are followed in the conversion of an inclusive series into an exclusive series:

(i) First, we find the difference between the upper limit of class interval and the lower limit of the next class interval. For example the upper limit of the class interval 20-29 is 29.The lower limit of the next class interval 30-39 is 30. The difference is 30 minus 29
=1.

(ii) Secondly, half of that difference is added to the upper limit of a class interval and half is subtracted from the lower limit of the class interval.
Half of the difference found in first step will be 0.5.Add 0.5 to the upper limit and subtract 0.5 from the lower limit for each class interval.

Using these two steps, inclusive series of the above table has been converted into an exclusive series as under: Illustration:

Pocket Expenses No of Students
(x) (f)
19.5-29.5 10
29.5-39.5 8
39.5-49.5 6
49.5-59.5 4
59.5-69.5 2