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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.

Example of the Range's Sensitivity to Outliers

Suppose most students in a class score between 90 and 100 on an exam, resulting in a narrow range of 10. If one student scores a 20, the range suddenly jumps to 80. What does this inflated value demonstrate about the range as a measure of variability?

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