A set of data has a mean of 80 and a standard deviation of 5 . To determine two values that contain at least $\frac{8}{9}$ of the data, we use:
A) Chebyshev's theorem.
B) the coefficient of variation.
C) $z$-scores.
D) the empirical rule.

Question

Quizplus · Accepted Answer

Chebyshev's theorem can be used to determine the proportion of data within a certain number of standard deviations from the mean, regardless of the distribution shape. It states that at least $1 - \frac{1}{k^2}$ of the data lies within $k$ standard deviations of the mean. For $\frac{8}{9}$, $k$ is approximately 3.

A Set of Data Has a Mean of 80 and a Standard