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Grouped Frequency Tables (Mathematics Glossary)

What Is a Grouped Frequency Table?

A grouped frequency table is a frequency table where the numbers are grouped together.

It shows you how often numbers within each group appear in a list of numbers.

Imagine you had a set of numbers:



A grouped frequency table is a way to present this data in a simpler way:

Understanding the Grouped Frequency Table

Rather than showing how many times each number appears in a list of numbers (like a frequency table), a grouped frequency table groups the numbers in the list into different groups, and tells you how many times numbers from within each group appear in the list.

Let's look again at our list of numbers (rearranged in order and each group of numbers counted):

  • We see that there are 2 numbers that appear in the 1 - 5 group (2 and 5).

    We write 1 - 5 in the Group column.

    We write 2 in the Frequency column because numbers in the 1 - 5 range appear 2 times in the list of numbers.


  • We see that there are 4 numbers in the 6 - 10 group (7, 8, 9 and 10).

    We write 6 - 10 in the Group column.

    We write 4 in the Frequency column because numbers in the 6 - 10 range appear 4 times in the list of numbers.

The frequency table is complete when all numbers and their frequencies have been entered:

How to Make a Grouped Frequency Table

Making a grouped frequency table is easy.



Read more about how to make a grouped frequency table

Finding Averages from a Grouped Frequency Table

The grouped frequency table can be used to find the average of a set of numbers.

A frequency table can be used to find: Read more about how to find the mean from a grouped frequency table.
Read more about how to find the median group from a grouped frequency table.
Read more about how to find the mode group from a grouped frequency table.

Other Types of Frequency Table

Read more about cumulative grouped frequency tables
Read more about frequency tables
Read more about cumulative frequency tables

Interactive Test
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Here's a second test on grouped frequency tables.
Here's a third test on grouped frequency tables.
Top Tip

Grouped Frequency Tables Are for Continuous Data

A 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.

Note

What's in a Name?

"Frequency" means how often something occurs.

Other Column Headings

In the frequency table, the column headings are Group and 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).