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This lesson covers how to compare two (or more) data sets using averages and measures of spread — a skill that appears regularly on the AQA GCSE Mathematics exam. Simply calculating values is not enough; you must be able to write meaningful comparison statements that interpret the numbers in context.
In many real-life situations, we need to compare data sets to make decisions or draw conclusions. For example:
To compare distributions, you use two types of measure:
| Type | Purpose | Examples |
|---|---|---|
| Measure of average (central tendency) | Summarises the typical value | Mean, median, mode |
| Measure of spread (dispersion) | Shows how spread out the data is | Range, IQR |
When comparing two distributions, you should always make two statements:
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