SOLUTION: 'two teachers have classes of similar sizes. After final exams, the mean of the grades in each classes in 73%. However, one class has a standard deviation of 4% while the other's i

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Question 1014006: 'two teachers have classes of similar sizes. After final exams, the mean of the grades in each classes in 73%. However, one class has a standard deviation of 4% while the other's is 8%. In which class would a mark of 90% be more meaningful? Explain your reasoning.'

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
'two teachers have classes of similar sizes. After final exams, the mean of the grades in each classes in 73%. However, one class has a standard deviation of 4% while the other's is 8%. In which class would a mark of 90% be more meaningful? Explain your reasoning.'
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Compare the z-scores.
(90-73)/4 = 17/4 = 4.25 standard deviations above the mean
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(90-73)/8 = 17/8 = 2.625 standard deviations above the mean
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Cheers,
Stan H.
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