SOLUTION: in a certain distribution of numbers, the mean is 100 with a standard deviation of 8. At least what fraction of the numbers are between 84 and 116.

SOLUTION: in a certain distribution of numbers, the mean is 100 with a standard deviation of 8. At least what fraction of the numbers are between 84 and 116.

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Question 892669: in a certain distribution of numbers, the mean is 100 with a standard deviation of 8. At least what fraction of the numbers are between 84 and 116.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
By Tchebychev's inequality, the problem can be stated as
.
Hence at least 75% of the numbers are between 84 and 116.
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