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

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Question 375965: 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 97.5? Show all work as to how this is obtained.

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

Hi
*Note: z+=+%28x+-+mu%29%2Fsigma
P = .975 then z = 1.9599
1.9599 = (x - 500) / 100
195.99 = x-500
x = 695.99 Or 696 SAT score