According to Chebyshev's theorem how many values in a data set will be within 3 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 is (1 - 1/3^2) = 1 - 1/9 = 8/9, which is approximately 89%.

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