Essay

Based on the example of exam scores, explain how a single outlier affects the calculation of the range and why the resulting value is misleading.

Question: Based on the example of exam scores, explain how a single outlier affects the calculation of the range and why the resulting value is misleading.

Sample answer: In an exam where most students score between 9090 and 100100, the range is 1010. If a single student scores a 2020, the range suddenly increases to 8080. This inflated value is misleading because it suggests the entire class's scores are highly variable, when in reality only one student deviated significantly while the rest scored very consistently.

Key points:

  • Most students scored between 9090 and 100100, resulting in a narrow range of 1010.
  • A single student scoring a 2020 causes the range to jump to 8080.
  • The outlier inflates the range, giving a false impression of high variability.
  • The actual performance of the rest of the class remains highly consistent.

Rubric: The response must describe how the range changes from 1010 to 8080 due to a single student scoring 2020 when the rest scored between 9090 and 100100. It should explain that this outlier inflates the range and creates a false impression of high variability for the class as a whole.

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Updated 2026-05-27

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Research Methods in Psychology - 4th American Edition @ KPU

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