1Cademy - Example of the Ranges Sensitivity to Outliers

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Sensitivity of the Range to Outliers

Example

Example of the Range's Sensitivity to Outliers

To understand how outliers distort the range, consider an exam where most students score between $90$ and $100$ , resulting in a narrow range of $10$ . If a single student scores a $20$ , the range suddenly jumps to $80$ . This inflated value gives the false impression that the entire class's scores are highly variable, when in reality, only one student deviated significantly from the rest.