SOLUTION: A set of data is normally distributed with a mean of 1,000 and standard deviation of 100. A). What would be the standard score for a score of 800? * I got -2 B). What percent

Question 381330: A set of data is normally distributed with a mean of 1,000 and standard deviation of 100.
A). What would be the standard score for a score of 800?
* I got -2
B). What percentage of scores is between 1000 and 800?
* I do not know how to find this
C). What would be the percentile rank for a score of 800?
* I do not know how to find this
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 1,000 and standard deviation of 100.
A). What would be the standard score for a score of 800?
* I got -2
Correct
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B). What percentage of scores is between 1000 and 800?
----
z(800) = -2
z(1000) = 0
---
P(800< x < 1000) = P(-2 < z < 0) = 0.4773
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C). What would be the percentile rank for a score of 800?
Since 0.5000-0.4337 = 0.02275
That means 2.275% of the data is below 800
So the percentile of 800 is 2.
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Cheers,
Stan H.
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