A cumulative frequency table is a frequency table with a running total of the frequencies.
A frequency table shows how often - how

A cumulative frequency table is a way to present this data:

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?

Please tell us using

*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.

- 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:

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

## 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.

## Top Tip

## Cumulative Frequency Tables Are for Discrete Data

A cumulative frequency table is for discrete data. Discrete data 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. This is unlike continuous data, which can take any value (within a range). For example, it may take any value from 1 - 10: 1.5, 2.31, 3.05.## 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?

"Frequency" means how often something occurs.## Other Column Headings

In the frequency table, the column headings are**Number**and**Frequency**. This needn't be the case. Imagine the numbers in the list represented test scores. A more descriptive heading for the**Number**column might be**Score**. The numbers could represent many other things: incomes, heights, number of pets. Use a descriptive heading in the frequency table (**Income**,**Height**,**No. of pets**).## Frequency Tables with Non-Numeric Items

The items in a set needn't be numbers. Imagine there was a list of the pets that students have:
Dog, Cat, Rabbit, Dog, Dog, Cat, Fish

This could be presented in a cumulative frequency table:## You might also like...

statisticsfinding the range from a frequency tablemaking a cumulative frequency tableunderstanding grouped frequency tables

#### Help Us Improve Mathematics Monster

- Do you disagree with something on this page?
- Did you spot a typo?

__this form__.

#### Find Us Quicker!

- When using a search engine (e.g., Google, Bing), you will find Mathematics Monster quicker if you add
**#mm**to your search term.

#### Share This Page

If you like Grammar Monster (or this page in particular), please link to it or share it with others.

If you do, __please tell us__. It helps us a lot!

#### Create a QR Code

Use our handy widget to create a QR code for this page...or any page.