According to Chebyshev's theorem, the maximum proportion of data values from a data set that are more than 1.5 standard deviations from the mean is _________.
A) 0.67
B) 0.17
C) 1.33
D) 0.44

Question

Quizplus · Accepted Answer

Chebyshev's theorem states that at least 1 - (1/k^2) of data values fall within k standard deviations of the mean. For k = 1.5, this means at least 1 - (1/1.5^2) = 0.5556 of data values are within 1.5 standard deviations, so the maximum proportion outside is 1 - 0.5556 = 0.4444, or approximately 0.44.

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