Hi

*Note:  

On an exam with a mean of M=82, you obtain a score of X=86  

a. Would you prefer a standard deviation of s=2 or s=10?  s = 2

   z = 4/2 = 2  OR z= 4/10 = .4

b. If your score were X=78, would you prefer s=2 or s=10?  s = 10

  z =  -4/2 = -2  OR z = -4/10 = -.4

c. If one scores below the mean, one wants the SD to be larger. 

If one scores above the mean , one would wish the SD to be smaller. 

That is: it will reflect a better position as to placement on the curve.



   

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