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Range Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Range (definition)
The difference between the highest and lowest values in a data set.
How to calculate range
Subtract the smallest value from the largest value in the data set.
Range in a data set example
For the data set {3, 7, 10, 15}, the range is 15 - 3 = 12.
Range and outliers
Outliers can significantly affect the range, as it depends on the extreme values.
Range in grouped data
For grouped data, the range is calculated as the difference between the highest and lowest class boundaries.
Range vs interquartile range
The range measures the total spread of data, while the interquartile range measures the spread of the middle 50% of the data.
Range in comparison
The range can be used to compare the spread of two or more data sets.
Range in real-life context
In real-life problems, the range can indicate variability, such as temperature differences or test score spreads.
Range in cumulative frequency
The range can be estimated from a cumulative frequency graph by finding the difference between the highest and lowest values.
Limitations of range
The range does not consider how data is distributed and is sensitive to extreme values.

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