Suppose that a particular statistical population can be described, at least roughly, by the normal curve. Which of the following can we use to estimate the percentages of all population values that lie within specified numbers of standard deviations from the mean?
A) Tchebysheff's Theorem
B) the Empirical Rule
C) the interquartile range
D) a box plot

Question

Quizplus · Accepted Answer

The Empirical Rule, also known as the 68-95-99.7 Rule, states that approximately 68% of population values fall within one standard deviation of the mean, 95% fall within two standard deviations of the mean, and 99.7% fall within three standard deviations of the mean for a normal distribution. Therefore, it can be used to estimate the percentages of all population values that lie within specified numbers of standard deviations from the mean.

Suppose That a Particular Statistical Population Can Be Described, at Least