SOLUTION: Test scores on a test have a mean of 108 and a standard deviation of 18. According to Chebyshev's Theorum, 84% of the scores lie between ____ and ____.

Algebra ->  Probability-and-statistics -> SOLUTION: Test scores on a test have a mean of 108 and a standard deviation of 18. According to Chebyshev's Theorum, 84% of the scores lie between ____ and ____.      Log On


   

Question 896886: Test scores on a test have a mean of 108 and a standard deviation of 18. According to Chebyshev's Theorum, 84% of the scores lie between ____ and ____.
Answer by stanbon(75887) About Me  (Show Source):
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Test scores on a test have a mean of 108 and a standard deviation of 18. According to Chebyshev's Theorum, 84% of the scores lie between ____ and ____.
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Chebychev Formula::
At least (1-(1/n)^2)% of data lies within n standard deviations of the mean.
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Solve (1 - (1/n)^2) = 0.84
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(1/n)^2 = 0.16
1/n = 0.4
n = 2.5 standard deviations
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Ans:
Lower Limit:: 108-2.5*18 = 63
Upper Limit:: 108+2.5*18 = 153
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Cheers,
Stan H.
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