Example of Frequency Distribution

Example of Frequency Distribution

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Types of Frequency Distribution

The marks of a class of 20 students are  11, 27, 18, 14, 28, 18, 2, 22, 11, 24, 22, 11, 8, 20, 25, 28, 30, 12, 11, 8. Prepare a frequency distribution table for the same....

1. Exclusive Series

The six different types of the frequency distribution are as follows:...

2. Inclusive Series

The series with class intervals, in which all the items having the range from the lower limit to the value just below its upper limit are included, is known as the Exclusive Series. This kind of frequency distribution is known as an exclusive series because the frequencies corresponding to the specific class interval do not include the value of its upper limit. For example, if a class interval is 0-10, and the values of the given series are 4, 10, 2, 15, 8, and 9, then only 4, 2, 8, and 9 will be included in the 0-10 class interval. 10 and 15 will be included in the next class interval, i.e., 10-20. Also, the upper limit of a class interval is the lower limit of the next class interval....

3. Open End Series

The series with class intervals, in which all the items having the range from the lower limit up to the upper limit are included, is known as Inclusive Series. Like exclusive series, the upper limit of one class interval does not repeat itself as the lower limit of the next class interval. Therefore, there is a gap (between 0.1 to 1) between the upper-class limit of one class interval and the lower limit of the next class interval. For example, class intervals of an inclusive series can be, 0-9, 10-19, 20-29, 30-39, and so on. In this case, the gap between the upper limit of one class interval and the lower limit of the next class interval is 1, and the class intervals do not overlap with each other like in an exclusive series....

4. Cumulative Frequency Series

Sometimes the lower limit of the first class interval and the upper class limit of a series is not available; instead, Less than or Below is mentioned in the former case (in place of the lower limit of the first class interval), and More than or Above is mentioned in the latter case (in place of the upper limit of the last class interval). These types of series are known as Open End Series....

5. Mid-Value Frequency Series

A series whose frequencies are continuously added corresponding to the class intervals is known as Cumulative Frequency Series....

6. Equal and Unequal Class Interval Series

The series in which, instead of class intervals, their mid-values are given with the corresponding frequencies, is known as Mid-Value Frequency Series....