SOLUTION: A set of data is normally distributed with a mean of 1000 and standard deviation of 100. · What would be the standard score for a score of 1200? · What percentage of scores is

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Question 618181: A set of data is normally distributed with a mean of 1000 and standard deviation of 100.
· What would be the standard score for a score of 1200?
· What percentage of scores is between 1000 and 1200?
· What would be the percentile rank for a score of 1200?

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 1000 and standard deviation of 100.
· What would be the standard score for a score of 1200?
z(1200) = (1200-1000)/100 = 2
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· What percentage of scores is between 1000 and 1200?
Percentage = P(0< z < 2) = 0.4773 = 47.73%
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· What would be the percentile rank for a score of 1200?
Percentile rank = .5 + 0.4773 = 0.9773 = 98%ile
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Cheers,
Stan H.
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