Chebyshev's Theorem states that the percentage of observations in a data set that should fall within five standard deviations of their mean is:
A) 90%.
B) at least 90%.
C) 96%.
D) at least 96%.
E) 25%.

Question

Quizplus · Accepted Answer

Chebyshev's Theorem states that at least 1-1/k^2 of the data will fall within k standard deviations of the mean. When k=5, 1-1/5^2 = 1-0.04 = 0.96 or 96%. Therefore, the correct answer is D.

Chebyshev's Theorem States That the Percentage of Observations in a Data