Exhibit 3-2
A researcher has collected the following sample data. The mean of the sample is 5.
-__________ can be used to determine the percentage of data values that must be within one, two, and three standard deviations of the mean for data having a bell-shaped distribution.
A)Chebyshev's theorem
B)empirical rule
C)five-number summary
D)box plot

Question

Exhibit 3-2
A researcher has collected the following sample data. The mean of the sample is 5. 
-__________ can be used to determine the percentage of data values that must be within one, two, and three standard deviations of the mean for data having a bell-shaped distribution.
A)Chebyshev's theorem 
B)empirical rule 
C)five-number summary 
D)box plot

Quizplus · Accepted Answer

The empirical rule can be used to determine the percentage of data values that must be within one, two, and three standard deviations of the mean for data having a bell-shaped distribution. Chebyshev's theorem can also be used for any distribution, but the percentages it provides are more conservative and not as specific as the empirical rule. The five-number summary and box plot are graphical methods for displaying data and are not used to determine the percentage of data values within a certain range.

Exhibit 3-2 A Researcher Has Collected the Following Sample Data. the Mean