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.

Japanese Vehicle Exports. The Japan Automobile Manufacturer's Association provides data on exported vehicles in Motor Vehicle Statistics of Japan. In 2010, cars, trucks, and buses constituted 88.3%, 9.3%, and 2.4% of vehicle exports, respectively. A random sample of last year's exports yielded the vehicle-type data on the WeissStats site.

Short Answer

Expert verified

The mode of the given data is Car and the mode is a suitable measure of center.

Step by step solution

01

Step 1. Given information.

The given statement is:

Motor Vehicle Statistics of Japan includes information on exported autos.

02

Step 2. Determine the most suitable center measure

The information provided is categorical and so qualitative. As a result, the mean and median for categorical variables cannot be derived.

For categorical data, mode is the only measure of center.

MINITAB is used to calculate the frequency.

The following is the procedure for obtaining the frequency.

  • Select Stat > Tables > Tally Individual Variables from the menu.
  • Select Type from the Variables menu.
  • Select Counts from the Display menu.
  • Click OK

The output of MINITAB is displayed below.

Figure 1 shows that the car has the highest frequency 667.

As a result, the data's mode is 667.

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We have provided simple data set for you to practices the basics of finding measures of center. For each data set determine the:

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