Unformatted text preview: values are distributed. To avoid confusion, let’s say we’re dealing with the population SD of a population data set. PART F: CHEBYSHEV’S THEOREM Chebyshev’s Theorem Let k be a real number such that k > 1 . What fraction of the values in a data set must lie within k SDs of the mean? The answer is: at least 1 − 1 k 2 . Pro: This theorem applies to any distribution shape and is thus distribution free. Con: 1 − 1 k 2 might not be close to our desired fraction; it only provides a lower bound on what the desired fraction could be....
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- Fall '09