Question

What is an inclusive series?

Answer 1

Hint: First we will understand the terms ‘inclusive class intervals’ and ‘exclusive class intervals’ used in a frequency distribution table.
An inclusive series includes the upper limit and the lower limit in the class interval. For example in the class interval 20-29 the frequencies(number of students) for 20 and 29 are included. In such a series, the upper limit of the class interval does not repeat itself as a lower limit of the next class interval.

Complete step-by-step answer:
Here, we will explain the word inclusive series as below:
It is a method of classification of given data in such a manner that the upper limit of the previous class intervals does not repeat in the lower limit of the next class interval. In this classification we include both the values of upper and lower limits in the distribution table. Thus, there is a gap between 0.1 to 1.0 For example, 10-14, 15-19, 20-24, etc. represent an inclusive series.
Now, let us take an example where we will draw the frequency distribution table of each kind using some assumed data by us. Assume that the marks (out of 40) obtained by 15 students of a class are given as: - 5, 10, 21, 29, 9, 8, 20, 16, 18, 25, 30, 25, 35, 37, 40 and we have to draw the frequency distribution table.
Considering the Inclusive method of distribution we can draw the table as shown below: -

Marks	No. of Students (Frequency)
0-10	4
11-20	3
21-30	5
31-40	3

Hence, an inclusive series includes the upper limit and the lower limit in the class interval.

Note: We have considered the upper limit and lower limit both in inclusive methods of writing the frequency table while we have considered only the lower limit of a particular class while the upper limit is neglected. Do not think that if we will find the mean, median and mode using the two different methods then it will give different results. They will be equal for both the frequency tables. Exclusive method - In this classification we include only the value of the lower limit and do not include the value of upper limit in the distribution table.