According to the Chebyshev rule,at least what percentage of the observations in any data set are contained within 3 standard deviations around the mean?
A)67%
B)75%
C)88.89%
D)99.7%

Question

Quizplus · Accepted Answer

Chebyshev's theorem states that for any dataset, regardless of distribution, at least $1 - \frac{1}{k^2}$ of the data values must be within k standard deviations of the mean, where k > 1. For k = 3, this gives $1 - \frac{1}{3^2} = 1 - \frac{1}{9} = \frac{8}{9} = 0.8889$ or 88.89%.

According to the Chebyshev Rule,at Least What Percentage of the Observations