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

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Question 632942: 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 300 on the SAT I has approximately what percentile rank within the population? Show all work as to how this is obtained.
What I have so far is 300-500/100= -200/100=-2. I am stuck up to this point.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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 300 on the SAT I has approximately what percentile rank within the population?
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z(300) = (300-500)/100 = -2
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P(x < 300) = P(z < -2) = 0.0228
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So 2.28% of scores are below 300.
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The percentile rank of 300 is 2%ile
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Cheers,
Stan H.