Statements about the proportion of data values that must be within a specified number of standard deviations of the mean can be made using
A) Chebyshev's theorem.
B) The empirical rule.
C) A five-number summary.
D) Percentiles.

Question

​Statements about the proportion of data values that must be within a specified number of standard deviations of the mean can be made using
A) ​Chebyshev's theorem.
B) The empirical rule.
C) ​A five-number summary.
D) Percentiles.

Quizplus · Accepted Answer

Chebyshev's theorem can be used to make statements about the proportion of data values that must be within a specified number of standard deviations of the mean, regardless of the shape of the distribution. The empirical rule and the five-number summary are specific to normal distributions and five-number summaries respectively, while percentiles deal with rankings of individual data values.

​Statements About the Proportion of Data Values That Must Be

Statements About the Proportion of Data Values That Must Be