SOLUTION: SAT I scores around the nation tend to have a mean scale score around 500, a standard deviation of about 100 points, and are approximately normally distributed. What SAT I score wi

Question 481880: SAT I scores around the nation tend to have a mean scale score around 500, a standard deviation of about 100 points, and are approximately normally distributed. What SAT I score within the population would have a percentile rank of approximately 16? Show all work as to how this is obtained.

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi,

 16% or P = .16, z = -.9945

 z = (x-μ)/σ

 100*(-.9945) + 500 = 500-99.45 = 400.55  OR 401 SAT score. 

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