SOLUTION: A Math test has a mean of 53 and standard deviation of 16.0. Find the corresponding z scores for: I. a test score of 19 II. a test score of 70

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Question 631829: A Math test has a mean of 53 and standard deviation of 16.0. Find the corresponding z scores for:

I. a test score of 19
II. a test score of 70
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

A Math test has a mean of 53 and standard deviation of 16.0. 

Find the corresponding z scores for:

I. a test score of 19    z = (19-53)/16 = -34/16 =  - 2.125   ouch!

II. a test score of 70   z = (70-53)/16 =  17/16 = 1.0625   much better 

Important to Understand z -values as they relate to the Standard Normal curve:

Below:  z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.  

Note: z = 0 (x value the mean) 50% of the area under the curve is to the left and 50%  to the right