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The national average SAT score for reading is 450 and the standard deviation is 55. SAT...

The national average SAT score for reading is 450 and the standard deviation is 55. SAT scores are normally distributed.

Q : What do you have to score to perform better than 90% of test takers?

Math   Statistics-And-Probability   
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Answer #1

Let random variable X be SAT scores.

X follows normal distribution with mean = and standard deviation =

z for area = 0.90 is 1.28                 (From statistical table of z values)

      = 450 + 1.28 * 55

      = 450 + 70.4

      = 520.4

You have to score 520.4 to perform better than 90% of test takers.

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