Measures Of Variability: Calculating And Interpreting The Range In Statistical Analysis

Range

The set of all actual output values for a function.

The range is a statistical measure that represents the difference between the maximum and minimum values in a data set. It is a simple measure of variability that describes the spread or distribution of the data.

To calculate the range, you subtract the minimum value from the maximum value in the data set. For example, if the data set is {4, 7, 2, 9, 6, 1}, the maximum value is 9 and the minimum value is 1, so the range would be 9-1=8.

The range can be useful in identifying outliers or extreme values in a data set, but it is not always a reliable measure of variability. It can be misleading when the data is skewed or when there are outliers that are significantly different from the rest of the data.

In addition to the range, there are other measures of variability such as variance and standard deviation that provide more accurate and robust measures of the spread or distribution of the data.

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