Chebysheff's Theorem states that the percentage of measurements in a data set that fall within three standard deviations of their mean is:
A)75%.
B)at least 75%.
C)89%.
D)at least 88.9%.

Question

Quizplus · Accepted Answer

Chebyshev's Theorem guarantees that for any distribution, at least $1 - \frac{1}{k^2}$ of the data within $k$ standard deviations from the mean. For $k=3$, this gives at least $1 - \frac{1}{3^2} = 1 - \frac{1}{9} = \frac{8}{9} = 88.9\%$.

Chebysheff's Theorem States That the Percentage of Measurements in a Data