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Chapter 3: Q 3.48. (page 104)

In each of Exercises 3.42-3.50, use the technology of your choice to obtain the measures of center that are appropriate from among the mean, median, and mode. Discuss your results and decide which measure of center is most appropriate. Provide a reason for your answer. Note: If an exercise contains more than one data set, perform the aforementioned tasks for each data set.

High School Completion. As reported by the U.S. Census Bureau in Educational Attainment in the United States, the percentage of adults in each state and the District of Columbia who have completed high school is provided on the WeissStats site.

Short Answer

Expert verified

Median is the most appropriate.

The values of mean, median, and mode are 86.902, 87, and 90 respectively.

Step by step solution

01

Step 1. Given information.

The given statement is:

The percentage of adults who have completed high school is presented for each state and the District of Columbia.

02

Step 2. Determine the most suitable center measure.

The information provided is quantitative. As a result, the data's mean, median, and mode can be derived.


MINITAB is used to calculate the mean, median, and mode.

The following is the procedure for calculating the mean, median, and mode.

  • Select Stat >Basic Statistics> Descriptive Statistics from the drop-down menu.
  • Fill in the PERCENT columns in Variables.
  • Select Statistic from the drop-down menu, then Mean, Median, and Mode.
  • Click OK
03

Step 3. MINITAB output.

The output of MINITAB is displayed below.

The mean is 86.902, the median is 87, and the mode is 90, according to the figure.

The mean, median, and mode are the suitable measures of center for the above data, and their values are 86.902, 87, and 90, respectively.

The median is the most appropriate because 50% of the state has a percentage of adults who have completed high school or less.

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Most popular questions from this chapter

A quantitative data set has mean 15and standard deviation 2. At least what percentage of the observations lie between 7and 23?

Complete the following statement: The descriptive measure is resistant if .......

The Etruscans. Anthropologists are still trying to unravel the mystery of the origins of the Etruscan empire, a highly advanced Italic civilization formed around the eighth century B.C. in central Italy. Were they native to the Italian peninsula or, as many aspects of their civilization suggest, did they migrate from the East by land or sea? The maximum head breadth, in millimeters, of 70modern Italian male skulls and that of 84preserved Etruscan male skulls were analyzed to help researchers decide whether the Etruscans were native to Italy. The resulting data can be found on the WeissStats site. [SOURCE: N. Barnicot and D. Brothwell, "The Evaluation of Metrical Data in the Comparison of Ancient and Modern Bones." In Medical Biology and Etruscan Origins, G. Wolstenholme and C. O'Connor, cds., Littlc, Brown \& Co., 1959]

Apply Chebyshev's rule with k=5and interpret your answer.

The Etruscans. Anthropologists are still trying to unravel the mystery of the origins of the Etruscan empire, a highly advanced Italic civilization formed around the eighth century B.C. in central Italy. Were they native to the Italian peninsula or, as many aspects of their civilization suggest, did they migrate from the East by land or sea? The maximum head breadth, in millimeters, of 70 modern Italian male skulls and that of 84 preserved Etruscan male skulls were analyzed to help researchers decide whether the Etruscans were native to Italy. The resulting data can be found on the WeissStats site. [SOURCE: N. Barnicot and D. Brothwell, "The Evaluation of Metrical Data in the Comparison of Ancient and Modern Bones." In Medical Biology and Etruscan Origins, G. Wolstenholme and C. O'Connor, cds., Littlc, Brown \& Co., 1959]
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