Posted by **rachel** on Saturday, September 8, 2012 at 11:12am.

The Russian mathmatician Pafnuti L. Chebychev pved a remarkable theorem called Chebybchev's Inequality: In any data set, if p is the fraction of the data that lies within k standard deviations to either side of the mean, then p is greater than or equal to 1-1/k^2.

a. According to Chebychev's Theorem, what percent of a data set must lie within 2 standard deviations of the mean?

b. What percent must lie within 3 standard deviations?

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