What is are outliers included in range?

Outliers are not typically included in the Range of a dataset.

Here's why:

  • Definition of Range: The range is defined as the difference between the maximum and minimum values in a dataset.
  • Outliers Skew the Range: Outliers are extreme values that lie far away from the other values in the dataset. Including an outlier would significantly inflate the Range, giving a misleading impression of the data's spread for the majority of the observations.
  • Focus on Typical Values: The range is intended to give a quick idea of the spread of the "typical" values. Outliers, by definition, are not typical.
  • Alternative Measures: When outliers are present, other measures of spread, such as the Interquartile%20Range (IQR), are often preferred as they are less sensitive to outliers.

In summary, while outliers are part of the overall dataset, they are generally excluded when calculating and interpreting the Range because their inclusion distorts the representation of the data's typical spread.