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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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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

User Meuu
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\mathbb P(X\le163)=\mathbb P\left(\frac{X-155}7\le\frac{163-155}7\right)\approx\mathbb P(Z\le1.1429)\approx0.8735

which puts the student at about the 87th percentile.
User Eraklon
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