Cumulative Grouped Frequency Tables
What Is a Cumulative Grouped Frequency Table?
A cumulative grouped frequency table is a grouped frequency table with a running total of the frequencies.
Imagine you had a set of numbers:
A cumulative grouped frequency table is a way to present this data in a simpler way:
Understanding the Cumulative Grouped Frequency Table
A cumulative grouped frequency table is a grouped frequency table with a Cumulative frequency column.
Let's look again at our list of numbers (rearranged in order and each group of numbers counted):

The Group column of the grouped frequency table contains the groups into which we group the numbers in the list.

The Frequency column of the grouped frequency table contains how often a number from within each group appears in this list.
This gives us a grouped frequency table:

The Cumulative frequency column keeps a running total on the frequency.

The cumulative frequency in the first row is equal to the frequency:

The cumulative frequency in the second row is found by adding the frequency in this row to all the frequencies above:
Note: It is also found by adding the frequency in this row to the cumulative frequency above.

The cumulative frequency in the third row is found by adding the frequency in this row to all the frequencies above:
Note: It is also found by adding the frequency in this row to the cumulative frequency above.

The cumulative grouped frequency table is complete when all the cumulative frequencies have been entered:

Other Types of Frequency Table

A grouped frequency table groups numbers together. It shows you how often numbers within each group appear in a list of numbers.

A frequency table shows how often (how frequently) each number appears in a list of numbers.

A cumulative frequency table is a frequency table that has another column which keeps a running total of the frequencies.