SOLUTION: Scores on a test have a mean of 63 and Q3 is 82. The scores have a distribution that is approximately normal. Find the standard deviation. Round your answer to the nearest tenth

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Question 581209: Scores on a test have a mean of 63 and Q3 is 82. The scores have a distribution that is approximately normal. Find the standard deviation. Round your answer to the nearest tenth.
Answer by stanbon(75887) About Me  (Show Source):
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Scores on a test have a mean of 63 and Q3 is 82. The scores have a distribution that is approximately normal. Find the standard deviation. Round your answer to the nearest tenth.
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Q3 has a left-tail of 0.75
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Find the corresponding z-score:
invNorm(0.75) = 0.6745
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Equation:
Use x = zs+u to find "s":
82 = 0.6745*s+63
0.6745s = 19
s = 19/0.6745
s = 28.1694
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Cheers,
Stan H.