According to Chebyshev's theorem, the proportion of values from a data set that is further than 2 standard deviations from the mean is no more than:
A) 0.50
B) 0.13
C) 1.00
D) 0.25

Question

Quizplus · Accepted Answer

Chebyshev's theorem states that at least 1 - (1/k^2) of the data values must lie within k standard deviations of the mean, where k is greater than or equal to 1. When k = 2, we can say that at least 1 - (1/2^2) = 0.75 of the data values must lie within 2 standard deviations of the mean. Therefore, the proportion of values that is further than 2 standard deviations from the mean is no more than 1 - 0.75 = 0.25, which is option D.

According to Chebyshev's Theorem, the Proportion of Values from a Data