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The range is the difference between the maximum and minimum values for the given set of observations.
Range = L - S, where L is the largest value and S is the smallest value.
Example: Find the range for the given data: 22, 36, 41, 20, 23, 36, 38, 50
Solution: Arrange the values from least to greatest: 20, 22, 23, 36, 36, 38, 41, 50
The largest value, L, is 50
The smallest value, S, is 20
Therefore the range = 50 - 20 = 30.
Properties of range
Range is unaffected due to a change of origin but is affected in the same ratio due to a change in scale.If all the observations assumed by a variable are constant then range is equal to zero.
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