SOLUTION: Math test has a mean of 51 and standard deviation of 5.0. Find the corresponding z scores for: I. a test score of 64 II. a test score of 47

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Question 662969: Math test has a mean of 51 and standard deviation of 5.0. Find the corresponding z scores for:

I. a test score of 64
II. a test score of 47
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
The z-score for any value x that lies in a set is given by z+=+%28x+-+mu%29%2Fsigma, where muis the mean sigmais the standard deviation.
Here, the mean is 51 and the standard deviation of 5.0.

I. a test score of 64+

z+=+%2864+-+51%29%2F5.0

z+=+13%2F5.0

z+=+2.6

II. a test score of 47

z+=+%2847+-+51%29%2F5.0

z+=+-4%2F5.0

z+=+-0.8