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Statistics - Highest Relative Score

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Comparing Scores. Three students take equivalent tests of sense of humor and, after the laughter dies down, their scores are calculated. Which is the highest relative score?

A. A score of 144 on a test with a mean of 128 and a standard deviation of 34.
B. A score of 90 on a test with a mean of 86 and a standard deviation of 18.
C. A score of 18 on a test with a mean of 15 and a standard deviation of 5.

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The highest relative score for a test to determine the sense of humor is determined. A complete, neat and step-by-step solution is provided.

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z = (x - m)/s

(A) z = (144 - 128)/34 = 0.4706

Percentile score = 100 * P(z < ...

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