At least 99.41% of the data in any data set lie within how many standard deviations of the mean?
Find the number of standard deviations.
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Chebyshev's theorem
k is the number of standard deviations
100 * (1- 1/k^2) = 99.41
(1 - 1/ k^2 ) = 0.99 41
-1/k^2 = 0.99 41 -1
k^2 = 1/ (1- 0.9941)
k^2 = 169.5
k = 13. 02
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Answer
The number of standard deviations is 13