Question
Chebyshev's Theorem states that withing 2 standard deviations (regardless of the mean) that 95% of data is contained. There is also a theorem that states the minimum % of data that will lie between 2 standard deviations.
Chebyshev's Theorem states that regardless of the distribution at least (100(k^2 - 1)) / (k^2) % of the data is guarunteed to lie within k standard deviations of the mean.
a) What is the minimum % of the data that Chebyshev's Theorem guaruntees will lie within 2 standard deviations of the mean for any distribution?
b) Verify the prediction in a) for the data 0, 9, 9.
Chebyshev's Theorem states that regardless of the distribution at least (100(k^2 - 1)) / (k^2) % of the data is guarunteed to lie within k standard deviations of the mean.
a) What is the minimum % of the data that Chebyshev's Theorem guaruntees will lie within 2 standard deviations of the mean for any distribution?
b) Verify the prediction in a) for the data 0, 9, 9.