SOLUTION: Use Chebyshev's theorem to solve the problem. Find the least possible percentage of numbers in a data set lying within 3/2 standard deviations of the mean. Give your answer to the

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Question 964222: Use Chebyshev's theorem to solve the problem.
Find the least possible percentage of numbers in a data set lying within 3/2 standard deviations of the mean. Give your answer to the nearest tenth of a percent.

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
For K = (3/2), Chebyshev's theorem states that
1 - (1/(3/2)^2) = 0.555555556 approx 55.6%
At least 55.6% of the data from a sample must fall within 3/2 standard deviations from the mean.