Question

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 has completed a bachelor's degree is provided on the WeissStats site. Apply the technology of your choice to construct a stem-and-leaf diagram of the percentages with
a. one line per stem.
b. two lines per stem.
c. five lines per stem.
d. Which stem-and-leaf diagram do you consider most useful? Explain your answer.

Short answer

Ans:

(a) The culmination of Minitab, clear that the stem has a crease line for each stem. Here, the percentage

width is from $17to49$Also, the small digit data represents the leaf and the first digit.

stands for the stem.

(b) According to the Minitab output, the stem has two lines per stem.

(c) According to the Minitab output, the stem has five lines per stem.

(d) The stem and leaf drawing obtained in part (c) are multifaceted and it is difficult to identify the distribution shape. In addition, the number of classes should be from $5to15$. Both the stem and the leaf drawing in sections (a) and (b) satisfy the situation. However, the drawing of the stem and leaf in part (b) provides better information about the shape of the distribution.

Step-by-step solution

Step 1. Given information.

given,

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

Step 2. (a) First, use Minitab to create a stem and leaf percentage drawing using one line per stem.  

MINITAB process:

Step 1) Select Graph> Stem and the leaf

Step 2) Select the PERCENT column for the graph variable.

Step 3) Enter $10$in increments.

Step 4) Select OK.

Step 3. Minitab output,

Stem and Leaf Display: PERCENT

From the culmination of Minitab, clear that the stem has a crease line for each stem. Here, the percentage

width is from $17to49$Also, the small digit data represents the leaf and the first digit.

stands for the stem.

Step 4. (b)  Use the Minitab to create a stem and leaf drawing to get a percentage using two lines per stem. 

Step 1) Select Graph> Stem and Leaf

Step 2) Select the PERCENT column for Graph flexibility

Step 3) Enter $5$for growth

Step 4 ) Select OK.

Step 5. Minitab output,

Stem and Leaf Display: PERCENT

According to the Minitab output, the stem has two lines per stem.

Step 6. (c) Now, use the Minitab to create a stem and leaf drawing to get a percentage using five lines per stem. 

MINITAB Process:

Step 1) Select Graph> Stem and Leaf

Step 2) Select the PERCENT column for Graph flexibility

Step 3) Enter $5$in growth

Step 4 ) Select OK.

Step 7. Minitab output,

Stem and Leaf Display: PERCENT

According to the Minitab output, the stem has five lines per stem.

Step 8. (d) Explanation here, 

Thus, the stem and leaf drawing obtained in part (c) are multifaceted and it is difficult to identify the distribution shape. In addition, the number of classes should be from $5to15$. Both the stem and the leaf drawing in sections (a) and (b) satisfy the situation. However, the drawing of the stem and leaf in part (b) provides better information about the shape of the distribution.