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Middle/High School Algebra, Geometry, and Statistics (AGS)
9.6 Inclusive and Exclusive Class Intervals

Inclusive and Exclusive Class Intervals

Inclusive Class Interval:
When the lower and the upper class limit is included, then it is an inclusive class interval. For example - 220 - 234, 235 - 249 ..... etc. are inclusive type of class intervals. Usually in the case of discrete variate, inclusive type of class intervals are used.

Exclusive Class Interval:
When the lower limit is included, but the upper limit is excluded, then it is an exclusive class interval. For example - 150 - 153, 153 - 156.....etc are exclusive type of class intervals. In the class interval 150 - 153, 150 is included but 153 is excluded.
Usually in the case of continuous variate, exclusive type of class intervals are used.

Consider the frequency table shown below


Note: While analysing a frequency distribution, if there are inclusive type of class intervals they must be converted into exclusive type.

This can be done by extending the class intervals from both the ends. Thus the class intervals 220 - 234, 235 - 249, ....... should be converted into exclusive type 219.5 - 234.5, 234.5 - 249.5.... etc.

After the conversion the frequency table would look like this


Directions: On the basis of the given information answer the following questions. Also write at least one example of your own.
Q 1: If the class limit is such that the lower and the upper class limit is included in it, then it is an ....
Inclusive Class Interval
Exclusive Class Interval

Q 2: While analysing a frequency distribution, exclusive class interval should be converted to an inclusive one.
no
yes

Q 3: In the case of exclusive class intervals, the class limits become the class boundaries
no
yes

Q 4: If the class limit is such that the lower class limit is included, but the upper class limit is excluded then it is an
Exclusive Class Interval
Inclusive Class Interval

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Question 6: This question is available to subscribers only!


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