In its standard form,Chebyshev's theorem provides a lower bound on:
A)The number of observations lying within a certain interval.
B)The number of observations lying outside a certain interval.
C)The proportion (or percentage)of observations lying within a certain interval.
D)The proportion (or percentage)of observations lying outside a certain interval.

Question

Quizplus · Accepted Answer

Chebyshev's theorem states that for any dataset, regardless of its distribution, at least (1-1/k^2) fraction of the data points will lie within k standard deviations of the mean. This means that we can be certain that a certain proportion of the observations lies within a certain interval, given the value of k. The theorem does not provide a lower bound on the number of observations lying within or outside a certain interval.

In Its Standard Form,Chebyshev's Theorem Provides a Lower Bound On