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) About Me  (Show Source):
You can put this solution on YOUR website!
By Tchebychev's inequality, the problem can be stated as
P%28abs%28X+-+100%29%3C=+2%2A8%29+%3E=+1-1%2F2%5E2+=+3%2F4.
Hence at least 75% of the numbers are between 84 and 116.