According to Chebyshev's Theorem, approximately how many values in a large data set will be within 2 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 dataset, regardless of the distribution, at least $1 - \frac{1}{k^2}$ of the data values will be within $k$ standard deviations of the mean. For $k = 2$, this gives $1 - \frac{1}{2^2} = 1 - \frac{1}{4} = \frac{3}{4}$ or 75%.

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