Short Answer

A researcher is studying self-esteem scores in a sample of 4040 participants. If 3232 of the participants have scores strictly lower than 2323, calculate the percentile rank for a score of 2323 and explain its meaning.

Question: A researcher is studying self-esteem scores in a sample of 4040 participants. If 3232 of the participants have scores strictly lower than 2323, calculate the percentile rank for a score of 2323 and explain its meaning.

Sample answer: The percentile rank is calculated as (32/40)×100=80(32 / 40) \times 100 = 80. This indicates that a participant with a score of 2323 scored higher than 80%80\% of the individuals in the sample.

Key points:

  • Calculate the percentile rank as 8080.
  • Apply the calculation formula: (32/40)×100(32 / 40) \times 100.
  • Interpret the result to mean scoring higher than 80%80\% of the individuals in the sample.

Rubric: Students must show the calculation (32/40)×100=80(32 / 40) \times 100 = 80 (or state the final rank of 8080) and explain that this means the score is higher than 80%80\% of the sample.

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Updated 2026-05-27

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Research Methods in Psychology - 4th American Edition @ KPU

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