SOLUTION: a sample has a mean of m=82, you obtain a score of x=56. would you perfer a standard deviation of s=2 or s=10

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Question 403750: a sample has a mean of m=82, you obtain a score of x=56. would you perfer a standard deviation of s=2 or s=10
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a sample has a mean of m=82, you obtain a score of x=56. would you prefer a standard deviation of s=2 or s=10
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If s = 2 the z-score of 56 would be (56-82)/2 = -13
If s = 10 the z-score of 56 would be (56-82)/10 = -1.3
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I would prefer that s = 10 so my score of 56 would be fewer standard deviations below the mean.
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Cheers,
Stan H.