SOLUTION: Assume that the mean and the standard deviation of a dataset are 45 and 6, respectively. Without assuming anything about the distribution of the data, at least what percentage of

Question 713399: Assume that the mean and the standard deviation of a dataset are 45 and 6, respectively. Without assuming anything about the distribution of the data, at least what percentage of the values is between 33 and 57?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Assume that the mean and the standard deviation of a dataset are 45 and 6, respectively. Without assuming anything about the distribution of the data, at least what percentage of the values is between 33 and 57?
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(57-45)/6 = 12/6 = 2
(45-33)/6 = 12/6 = 2
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Those values frame 2 standard deviations of data around the mean.
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According to Chebychev at least 75% of the data is between
those 2 values.
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Cheers,
Stan H.
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