According to Chebyshev's Theorem, how many values in a data set will be within three standard deviations of the mean?
A)at least 75%
B)at least 68%
C)at least 95%
D)at least 89%
E)at least 99%

Question

Quizplus · Accepted Answer

Chebyshev's Theorem states that for any data set, regardless of distribution, at least (1 - 1/k^2) of the data values will fall within k standard deviations of the mean. For k=3, this calculates to at least 1 - 1/9 = 8/9, or approximately 89%.

According to Chebyshev's Theorem, How Many Values in a Data