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. A person who scores

Question 451536: 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. A person who scores 700 on the SAT I has approximately what percentile rank within the population?
Can you show me step-by-step how to do this?
Thank you
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi,

SAT I scores: mean 500 and SD 100

  z = 700-500/100 = 2 (2 SD above the mean)

P(x <= 700) = P( z <= 2) = .9772   |NORMSDIST(2)

97.72% percentile ranking within the population  

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