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Range Aqa Foundation
Exam code:8300
Range
What is the range?
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The range is the difference between the highest value and the lowest value
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range = highest – lowest
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For example, the range of 1, 2, 5, 8 is 8 – 1 = 7
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It measures how spread out the data is
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Ranges of different data sets can be compared to see which is more spread out
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Be careful with negatives
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The range of -2, -1, 0, 4 is 4 – (-2) = 6
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How do I know when to use the range?
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The range is a simple measure of how spread out the data is
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The range does not measure an average value
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It should not be used if there are any extreme values (outliers)
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For example, the range of 1, 2, 5, 80 is 80 – 1 = 79
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This is not a good measure of spread
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The range is affected by extreme values
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Examiner Tips and Tricks
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If asked to find the range in an exam, make sure you show your subtraction clearly (don’t just write down the answer).
Worked Example
Find the range of the following data.
|
3.4 |
4.2 |
2.8 |
3.6 |
9.2 |
3.1 |
2.9 |
3.4 |
3.2 |
|
3.5 |
3.7 |
3.6 |
3.2 |
3.1 |
2.9 |
4.1 |
3.6 |
3.8 |
|
3.4 |
3.2 |
4.0 |
3.7 |
3.6 |
2.8 |
3.9 |
3.1 |
3.0 |
Range = highest value – lowest value
9.2 – 2.8
The range is 6.4
Responses