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# Frequency Tables GCSE revision and worksheets

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## What you need to know

If we have collected a lot of data, it often makes sense to accumulate it into a frequency table. This a table that contains two columns, the first one with all the values that appeared when we collected the data, and the second containing the frequency that each value turned up. For example, the first column might list several shoe sizes, and then the frequency column would tell us how many people were measured to have each shoe size.

It is also possible to collect data into a grouped frequency table. These are often used when the data in question is continuous – it can take any value – but can be used for discrete data too. The second column remains the same as in a standard frequency table, whilst the first column lists groups, rather than individual values. For example, you could be collecting data on people’s heights, in which case you might want to group together people between 170cm and 180cm in height. This group would typically be expressed like $170 \leq h < 180$, where $h$ is the height in cm of a person.

Most of the time, exam questions on this topic involve using frequency tables to determine mean, median, and mode (or in the case of grouped frequency tables, the modal class). For non-grouped frequency tables, it is mostly intuitive how we work out these statistics, however for grouped frequency tables it is perhaps less intuitive. It’s important that you are familiar with the methods for all 3 in the cases of both grouped and non-grouped frequency tables.

From frequency questions and calculating the median to grouped frequency revision and how to calculate an estimate for the mean, there are many aspects to frequency tables in the new GCSE Maths specifications. Whether you are a GCSE Maths tutor in York or a Maths teacher in London you will find the Maths Made Easy frequency table resources useful.

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