Essay

State the definition of a percentile rank and outline the mathematical steps required to calculate it from a raw score distribution.

Question: State the definition of a percentile rank and outline the mathematical steps required to calculate it from a raw score distribution.

Sample answer: A percentile rank represents the percentage of scores in a distribution that fall below a specific value. To calculate it: first, count the number of scores in the distribution that are strictly lower than the target score; second, divide this count by the total number of scores in the distribution; third, multiply the resulting quotient by 100100 to convert the value into a percentage.

Key points:

  • Define percentile rank as the percentage of scores in a distribution below a specific score.
  • Identify the count of scores strictly lower than the target score.
  • Divide the count of lower scores by the total number of scores in the distribution.
  • Multiply the resulting fraction by 100100 to convert it to a percentage.

Rubric: To receive full credit, the response must correctly define percentile rank as the percentage of scores below a target value, and list the three steps (counting scores below the target, dividing by the total number of scores, and multiplying by 100100 to obtain the percentage).

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Updated 2026-05-27

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Research Methods in Psychology - 4th American Edition @ KPU

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