Question
What is a cumulative frequency distribution? Explain the various cumulative frequency distributions.

Answer

A cumulative frequency distribution is that in which the frequencies are progressively totalled and aggregates are shown.It can be of two types:
  1. 'Less Than' Cumulative Frequency Distribution In this frequency distribution, the frequencies of each class interval are added successively from top to bottom.
Following is an example of 'less than' cumulative frequency distribution:
Size of Items
Cumulative Frequency (CF)
Less than 10
6
Less than 20
15
Less than 30
28
Less than 40
35
  1. 'More Than' Cumulative Frequency Distribution: In this frequency distribution, the cumulative frequencies of each class interval is obtained by finding the cumulative total of frequencies starting from the highest value to the lowest value of class.
Class Interval
Cumulative Frequency (CF)
More than 0
35
More than 10
28
More than 20
15
More than 30
6

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