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:

## 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.

## 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**).

## You might also like...

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