SOLUTION: Given a set of data with a mean of 150 and a standard deviation of 25. Using Chebyshev's Theorem, what is the minimum percentage of data between 75 and 225?

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Question 404116: Given a set of data with a mean of 150 and a standard deviation of 25. Using Chebyshev's Theorem, what is the minimum percentage of data between 75 and 225?
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
75 = 150 - 3*25 = 75, and 225 = 150 + 3*25 .
Hence k = 3 in Chebyshev's theorem (or, within 3 sd's from the mean, plus-minus).
==> .
That is AT LEAST % of the distribution between 75 and 225.

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