# Cumulative Frequency Tables

## What Is a Cumulative Frequency Table?

A cumulative frequency table is a frequency table with a running total of the frequencies.

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

Imagine you had a set of numbers: A cumulative frequency table is a way to present this data: ## Understanding the Cumulative Frequency Table

A cumulative frequency is a frequency table with a Cumulative frequency column.

Let's look again at our list of numbers (rearranged in order and each number counted): • The Number column of the frequency table contains each number in this list.

• The Frequency column of the frequency table contains how often each number appears in this list.

This gives us a 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 frequency table is complete when all the cumulative frequencies have been entered: ## Other Types of Frequency Table

• A frequency table shows how often (how frequently) each number appears in a list of numbers. • A grouped frequency table groups numbers together. It shows you how often numbers within each group appear in a list of numbers. • A cumulative grouped frequency table is a grouped frequency table that has another column which keeps a running total of the frequencies. 