Which of the following state(s)that for any set of data,the proportion of values that lie within k standard deviations (k1)of the mean is at least 1 - 1/k²? A)empirical rules B)interquartile range C)Chebyshev's theorem D)standard deviation

Question

Which of the following state(s)that for any set of data,the proportion of values that lie within k standard deviations (k>1)of the mean is at least 1 - 1/k²? A)empirical rules B)interquartile range C)Chebyshev's theorem D)standard deviation

Quizplus · Accepted Answer

Chebyshev's theorem states that regardless of the shape of the distribution, at least 1 - 1/k^2 of the data falls within k standard deviations from the mean. This is a more general rule than the empirical rule, which only applies to approximately normally distributed data. The interquartile range and standard deviation are measures of variability, but do not provide information on the proportion of data within a certain distance from the mean.

Which of the Following State(s)that for Any Set of Data,the