# Cumulative Grouped Frequency Tables (Mathematics Glossary)

# 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.

- 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:

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

# How to Make a Cumulative Grouped Frequency Table

Making a cumulative grouped frequency table is easy.The first step is to make a grouped frequency table. Then complete the

**Cumulative frequency**column by adding the frequencies.

Read more about how to make a cumulative grouped frequency table

# Other Types of Frequency Table

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

- 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.

Read more about frequency tables

Read more about cumulative frequency tables

##### Interactive Test

**show**

Here's a second test on grouped frequency tables.

Here's a third test on grouped frequency tables.

##### Top Tip

# Cumulative Grouped Frequency Tables Are for Continuous Data

A cumulative grouped frequency table is for continuous data.Continuous data can take any value (within a range). For example, it may take any value from 1 - 10: 1.5, 2.31, 3.05.

This is unlike discrete data, which can only take certain values. For example: 1, 2, 3. It can't take values in between these values: it can't take 1.5.

# Quick Check

The final entry in the**Cumulative frequency**column must equal the total of the

**Frequency**column.

Add up the

**Frequency**column to see if it is the same as the last number you write in the

**Cumulative frequency**column:

# The Cumulative Frequency Is Increasing

The numbers in the**Cumulative frequency**column must increase as you go down the rows.

This is because each time you go down a row, you add another frequency to the running total, so it must get larger.

Sometimes a the cumulative frequency will stay the same. What must the frequency be in that row?

##### Note

# What's in a Name?

"Cumulative" means increasing by one addition after another."Frequency" means how often something occurs.

# Other Column Headings

In the frequency table, the column headings are**Group**,

**Frequency**and

**Cumulative frequency**.

This needn't be the case.

Each group is a grouping of numbers. The numbers could represent many things: test scores, incomes, heights, number of pets. Use a descriptive heading in the frequency table (

**Score**,

**Income**,

**Height**,

**No. of pets**).