SOLUTION: This is for a statistics class. 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? (Hint: Sketch each distrib

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Question 411240: This is for a statistics class.
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? (Hint: Sketch each distribution and find the location of your score.)
b. If your score were X=78, would you prefer s=2 or s=10?
c. Explain your answers.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

*Note: z+=+blue%28x+-+mu%29%2Fblue%28sigma%29 

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.