A college student takes a standardized test and scores a 163. if the mean is 155 and the standard deviation is 7, what is the student's percentile rank

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01-06-2017
Mathematics

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A college student takes a standardized test and scores a 163. if the mean is 155 and the standard deviation is 7, what is the student's percentile rank

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LammettHash LammettHash · Answer 1 · 2017-06-01T18:43:20+02:00

LammettHash LammettHash

01-06-2017

[tex]\mathbb P(X\le163)=\mathbb P\left(\dfrac{X-155}7\le\dfrac{163-155}7\right)\approx\mathbb P(Z\le1.1429)\approx0.8735[/tex]

which puts the student at about the 87th percentile.

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