Grouped Frequency Tables
(KS3, Year 7)

The Lesson

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

Finding Averages from a Grouped Frequency Table

The grouped frequency table can be used to find the average of a set of numbers. A grouped frequency table can be used to find the mean, the median group and the mode group.

Other Types of Frequency Table

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).
Help Us To Improve Mathematics Monster

  • Do you disagree with something on this page?
  • Did you spot a typo?
Please tell us using this form

See Also

What is a frequency table? What is a cumulative frequency table? What is a cumulative grouped frequency table?