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Chapter 1: Introduction and Graphical Displays
The cumulative frequency for a given class reflects the total number of data
values up to and including the class when the data set is arranged in
ascending order of magnitude.
Definition: Cumulative Frequency
The cumulative frequency for any class is obtained by summing the
frequencies for all classes at or below the given class when the classes in the
table are arranged in ascending order of magnitude.
The cumulative relative frequency for a given class reflects the total
proportion of data values up to and including the class when the data set is
arranged in ascending order of magnitude.
Definition: Cumulative Relative Frequency
The cumulative relative frequency for any class is obtained by summing the
relative frequencies for all classes at or below the given class when the
classes in the table are arranged in ascending order of magnitude.
Note:
The definitions given for the cumulative frequency and cumulative
relative frequency assume that the values (or classes) are arranged in
ascending order from top to bottom in the table when the data is numeric.
The frequency distribution in
Table 1-4
uses the data in
Example 1-2
and
also displays the cumulative frequencies and the cumulative relative
frequencies.