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