Why is the standard deviation more useful than the range in describing the variability of a dataset?
Question: Why is the standard deviation more useful than the range in describing the variability of a dataset?
Standard deviation measures the average spread of data points around the mean and takes into account every value in the dataset. It is less sensitive to outliers than the range and provides a more comprehensive view of variability.
In contrast, the range only considers two extreme values, making it unstable and unrepresentative for larger datasets.