SOLUTION: A set of data is normally distributed with a mean of 500 and standard deviation of 100. What would be the standard score for a score of 400? What percentage of scores is betw

Question 578618: A set of data is normally distributed with a mean of 500 and standard deviation of 100.
What would be the standard score for a score of 400?
What percentage of scores is between 500 and 400?
What would be the percentile rank for a score of 400?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A set of data is normally distributed with a mean of 500 and standard deviation of 100.
What would be the standard score for a score of 400?
z(400) = (400-500)/100 = -1
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What percentage of scores is between 500 and 400?
P(400< x <500) = P(-1< z < 0) = 0.3413
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What would be the percentile rank for a score of 400?
The left tail of z = -1 = normalcdf(-100,-1) = 0.1587 = 16%ile when rounded up.
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Cheers,
Stan H.
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