\begin{tabular}{|l|l|l|l|}
\hline
& \begin{tabular}{l}
[tex]$10 \%$[/tex] \\
Employee \\
Discount
\end{tabular}
& \begin{tabular}{l}
Extra Week \\
of Vacation \\
per Year
\end{tabular}
& \begin{tabular}{l}
Longer \\
Lunch \\
Breaks
\end{tabular} \\
\hline
\begin{tabular}{l}
Adult \\
Employees
\end{tabular}
& [tex]$13 \%$[/tex]
& [tex]$17 \%$[/tex]
& [tex]$30 \%$[/tex] \\
\hline
\begin{tabular}{l}
Minor \\
Employees
\end{tabular}
& [tex]$18 \%$[/tex]
& [tex]$11 \%$[/tex]
& [tex]$11 \%$[/tex] \\
\hline
\end{tabular}

Using the relative frequency table, create a segmented bar graph by employee type using technology or by hand. (10 points)



Answer :

To create a segmented bar graph based on the given data, follow these steps:

### Step-by-Step Guide:

1. Data Collection:
- We have two types of employees: Adult Employees and Minor Employees.
- For each type of employee, we have three categories:
- 10% Employee Discount
- Extra Week of Vacation per Year
- Longer Lunch Breaks

Here is the data in a tabular format:
[tex]\[ \begin{tabular}{|l|l|l|l|} \hline & \begin{tabular}{c} 10\% \\ Employee \\ Discount \end{tabular} & \begin{tabular}{c} Extra Week \\ of Vacation \\ per Year \end{tabular} & \begin{tabular}{c} Longer \\ Lunch \\ Breaks \end{tabular} \\ \hline \begin{tabular}{c} Adult \\ Employees \end{tabular} & 13\% & 17\% & 30\% \\ \hline \begin{tabular}{c} Minor \\ Employees \end{tabular} & 18\% & 11\% & 11\% \\ \hline \end{tabular} \][/tex]

2. Organize Data for Graph:
- Our goal is to plot a segmented bar graph, so we need to format the data accordingly.
- Each bar will represent an employee type (Adult Employees or Minor Employees) with segments showing the percentage contribution of the three categories.

3. Create Segments:
- For Adult Employees:
- 10% Employee Discount: 13%
- Extra Week of Vacation per Year: 17%
- Longer Lunch Breaks: 30%
- For Minor Employees:
- 10% Employee Discount: 18%
- Extra Week of Vacation per Year: 11%
- Longer Lunch Breaks: 11%

4. Plotting the Segmented Bar Graph:

If you are using technology such as Excel, follow these steps:

- Open Excel and enter your data:

| Employee Type | 10% Employee Discount | Extra Week of Vacation per Year | Longer Lunch Breaks |
|---------------|----------------------|--------------------------------|---------------------|
| Adult Employees | 13% | 17% | 30% |
| Minor Employees | 18% | 11% | 11% |

- Select your data range.
- Go to the "Insert" tab.
- Choose "Insert Column or Bar Chart" -> "100% Stacked Column."

This will create a preliminary segmented bar graph.

5. Adjust the Graph (Excel Specific):
- Click on your chart to bring up the "Chart Design" options.
- Click on "Switch Row/Column" to ensure that each bar represents an Employee Type with segments showing different categories.

6. Customize the Graph (Optional):
- Add titles to the axes and the chart for clarity.
- Label each segment with the respective percentage values if necessary.
- Adjust colors for better visualization.

7. Final Representation:
- Your final graph should display two bars:
- One bar for Adult Employees with segments of 13%, 17%, and 30%.
- Another bar for Minor Employees with segments of 18%, 11%, and 11%.

### Visual Representation:

Here is a rough sketch of what your segmented bar graph should look like:

```
Adult Employees | 13% | 17% | 30% |
Minor Employees | 18% | 11% | 11% |
```

- The height of each bar should be the total of the segments which is 100% for both employee types.
- Each segment within the bar will correspond to different allowances as described above.

This is how you can create a segmented bar graph using the given data. If you do this by hand, ensure that each segment is proportional to its percentage.