Question

In each Exercises 3.82-3.90, use the technology of your choice to determine and interpret the range and sample standard deviation for those data sets to which those concepts apply. If those concepts don't apply, explain why. 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

The range and standard deviation for the given data can not be found.

Step-by-step solution

Step 1. Given information.

The given statement is:

Cars, trucks, and buses accounted for 88.3%, 9.3%, and 2.4 percent of vehicle exports, respectively, in 2010.

Step 2. Determine the data's range and standard deviation.

Range$=max-min$

Standard Deviation:

role="math" localid="1653033128528" $s=\sqrt{{\displaystyle \frac{\sum {x_i}^2-{\left(\sum x_i\right)}^2/n}{n-1}}}$

Finding the range and standard deviation is not possible for this data.

Because the categories are bus, automobile, and truck, the variable of vehicle type is a qualitative variable.

And to be able to find the range and standard deviation requires the numerical data, and hence a quantitative variable, for the provided data set.