Using Chebyshev's theorem,k = 3 means that ________.
A)at least two-thirds of the data lie within three standard deviations of the mean
B)at least 89% of the data lie within three standard deviations of the mean
C)less than 29% of the data lie within three standard deviations of the mean
D)at least three-fourths of the data lie within two standard deviations of the mean

Question

Quizplus · Accepted Answer

Chebyshev's theorem states that for any k > 1, at least (1 - 1/k^2) of the data lies within k standard deviations of the mean. For k = 3, this is 1 - 1/9 = 8/9, or approximately 89%.

Using Chebyshev's Theorem,k = 3 Means That ________