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Functional Skills: Grouped Data

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Functional Skills: Grouped Data Revision

Grouped Data

When dealing with data it is sometimes easier to group the data into separate classes to make it easier to manage and view.

If you are grouping data into classes it is important that none of the classes overlap and they cover all the possible values from the data set.

Make sure you are happy with the following topics before continuing.

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Tally Charts

Tally charts are often used to collect data.

Example: Damian is recording a sample of the ages of people who attend a football match.

Design a table that could be used to collect the data.


It is a good idea to use a tally chart for this.

The ages of people attending the match needs to be grouped into classes that don’t overlap and include all of the possible ages.

When collecting the ages of people, there is technically no maximum age that someone could be, so make sure you include a class like “… or over”.

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Frequency Tables

Frequency tables are an extension of tally charts, which include the number of values in a certain class rather than a tally.


Example: A tennis club records the number of aces hit by 20 players over an entire league season.

The recorded values are:

\boldsymbol{22, 17, 6, 2, 24, 28, 37, 31, 29, 4, 8, 12, 30, 21, 13, 15, 42, 19, 11, 46}


Create a table to organise this data.


A frequency table will be useful to organise this data into separated classes.

There is no maximum amount of aces a player can hit in a league season, so we must include a class that has no upper bound.

The range of possible scores as been divided up into five classes, with none of the classes overlapping.

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Displaying Grouped Data

Bar charts can be used to display grouped data.

As shown in the bar chart below, there needs to be one bar for each class. It may be useful to refresh your mind on bar charts, by going back to this page.

The table shows the ages of 45 people at a cinema showing.

There are six classes in the frequency table, so the bar chart will have six bars.

This bar chart displays the grouped data, this is constructed just like any other bar chart, with the classes on the horizontal axis and the frequency on the vertical axis.

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Functional Skills: Grouped Data Example Questions


To make this table we need to make sure none of the classes overlap and we include all the possible values, hence we have a 31 or more class.

  1. We can see that the two classes: 18-45 and 45-65 overlap.
  2. The table doesn’t include all ages, e.g. someone who is 100 years old would not be included in the table.


There is a bar for each class, the vertical axis is evenly distributed and it has a relevant title.

Functional Skills: Grouped Data Worksheet and Example Questions

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Grouped Data L1

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Related Topics


Data Tables

FS Level 1

Bar Charts

FS Level 1Entry Level 3