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.

Bachelor's 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 a bachelor's degree is provided on the WeissStats site.

Short answer

Range 32.

Standard deviation 5.626.

Step-by-step solution

Step 1. Given information.

The given statement is:

The WeissStats site shows the percentage of adults in each state and the District of Columbia who have earned a bachelor's degree.

Step 2. Use MINITAB for the calculation of range and sample standard deviation.

MINITAB can be used to calculate the range and standard deviation. Procedure for MINITAB:

Step 1: Select Stat > Basic Statistics > Display Descriptive Statistics from the drop-down menu.

Step 2: In the Variables section, type PERCENT.

Step 3: Select Range, minimum, maximum, and standard deviation from the statistics menu.

Step 4: Click the OK button.

MINITAB OUTPUT:

Descriptive Statistics: PERCENT

$$\begin{gathered} \mathrm{Variable}\mathrm{N}{\mathrm{N}}^{*}\mathrm{St}\mathrm{Dev}\mathrm{Minimum}\mathrm{Maximum}\mathrm{Range} \\ \mathrm{PERCENT}5105.62619.00049.00032.000 \end{gathered}$$

The range and standard deviation for "PERCENT" are 32 and 5.626, respectively, according to the MINITAB output.

Step 3. Interpretation of the range and sample standard deviation.

There is a 32-point variance between the maximum and least values.

The data value and the average are separated by 5.626. The difference between the total number of PERCENT and the average number of percent is 5.626.