Cumulative frequency table

Cumulative relative frequency distribution

Cumulative frequency distribution is the value that shows the fraction of items with value less than the upper class limit. It is calculated from relative frequency distribution in the same way as the cumulative frequency distribution is developed from frequency distribution. Cumulative relative frequency is calculated by dividing the cumulative frequency of a specific value by the number of items or class intervals in the frequency table data.

Relative frequency distribution

It is the fraction or proportion of the number of items belonging to the class. It is obtained by dividing the frequency of each class by the total number of observations. Relative frequency of a class =Frequency of the class/ Total number of observations or total frequency R.F. = f/∑f

Cumulative Frequency Distribution

The total frequency of all classes less than the upper class boundary of a given class is called the cumulative frequency of that class. "A table showing the cumulative frequencies is called a cumulative frequency distribution".

Cumulative frequency distribution for grouped data

There are two types of cumulative frequency distributions. Less than cumulative frequency distribution: It is obtained by adding successively the frequencies of all the previous classes including the class against which it is written. The cumulate is started from the lowest to the highest size. More than cumulative frequency distribution: It is obtained by finding the cumulate total of frequencies starting from the highest to the lowest class.