Answer :
To create a segmented bar graph by employee type using the given relative frequency table, follow these steps:
### Step-by-Step Solution:
1. Understand the Data:
- Categories: Employee Discount, Extra Week of Vacation, Longer Lunch Breaks.
- Adult Employees: 13%, 17%, 30% for the respective categories.
- Minor Employees: 18%, 11%, 11% for the respective categories.
2. Set Up the Bar Graph:
- We will create two bars for each category, one for adult employees and one for minor employees.
3. Label the Axes:
- On the x-axis, we will have the benefit categories: Employee Discount, Extra Week of Vacation, Longer Lunch Breaks.
- On the y-axis, we will have the percentage response from the survey (ranging from 0% to a bit more than the highest percentage, in our case, around 35%).
4. Plotting the Bar Graph:
- Use different colors or patterns to differentiate between adult and minor employees.
#### By Hand:
1. Draw the Axes:
- Draw the x-axis and label it with the three categories.
- Draw the y-axis and label it with percentages (0%, 5%, 10%, 15%, 20%, 25%, 30%, 35%).
2. Construct the Bars:
- For Employee Discount, draw two adjacent bars:
- One bar for adult employees that reaches up to 13%.
- One bar for minor employees that reaches up to 18%.
- For Extra Week of Vacation, draw two adjacent bars:
- One bar for adult employees that reaches up to 17%.
- One bar for minor employees that reaches up to 11%.
- For Longer Lunch Breaks, draw two adjacent bars:
- One bar for adult employees that reaches up to 30%.
- One bar for minor employees that reaches up to 11%.
3. Color or Shade the Bars:
- Use different colors or shading patterns to distinguish between adult (e.g., blue) and minor employees (e.g., red).
4. Add Titles and Legends:
- Title the graph: "Preferences for New Benefits by Employee Type".
- Include a legend to indicate which colors represent adult and minor employees.
#### Using Technology (e.g., Excel):
1. Input the Data:
- Enter the data into a table with columns for benefit categories, adult percentages, and minor percentages.
2. Create the Bar Graph:
- Select the data and insert a bar chart.
- Ensure that both sets of data appear adjacent to each other for each category.
3. Format the Chart:
- Add labels to the x-axis for the benefit categories and to the y-axis for percentages.
- Use different colors to distinguish between adult and minor employees.
- Add a chart title and a legend.
4. Adjust the Layout:
- Ensure bars for each category are close but slightly apart for clarity.
- Finalize and review to ensure all information is correctly represented.
### Example Layout:
Employee Discount
- Adult Employees: Blue bar up to 13%
- Minor Employees: Red bar up to 18%
Extra Week of Vacation
- Adult Employees: Blue bar up to 17%
- Minor Employees: Red bar up to 11%
Longer Lunch Breaks
- Adult Employees: Blue bar up to 30%
- Minor Employees: Red bar up to 11%
### Interpretation:
This segmented bar graph provides a visual comparison of the preferences of adult and minor employees regarding different potential benefits, helping to quickly identify which benefits are more valued by each group.
By following these steps, you should be able to create a clear and informative segmented bar graph representing the survey results.
### Step-by-Step Solution:
1. Understand the Data:
- Categories: Employee Discount, Extra Week of Vacation, Longer Lunch Breaks.
- Adult Employees: 13%, 17%, 30% for the respective categories.
- Minor Employees: 18%, 11%, 11% for the respective categories.
2. Set Up the Bar Graph:
- We will create two bars for each category, one for adult employees and one for minor employees.
3. Label the Axes:
- On the x-axis, we will have the benefit categories: Employee Discount, Extra Week of Vacation, Longer Lunch Breaks.
- On the y-axis, we will have the percentage response from the survey (ranging from 0% to a bit more than the highest percentage, in our case, around 35%).
4. Plotting the Bar Graph:
- Use different colors or patterns to differentiate between adult and minor employees.
#### By Hand:
1. Draw the Axes:
- Draw the x-axis and label it with the three categories.
- Draw the y-axis and label it with percentages (0%, 5%, 10%, 15%, 20%, 25%, 30%, 35%).
2. Construct the Bars:
- For Employee Discount, draw two adjacent bars:
- One bar for adult employees that reaches up to 13%.
- One bar for minor employees that reaches up to 18%.
- For Extra Week of Vacation, draw two adjacent bars:
- One bar for adult employees that reaches up to 17%.
- One bar for minor employees that reaches up to 11%.
- For Longer Lunch Breaks, draw two adjacent bars:
- One bar for adult employees that reaches up to 30%.
- One bar for minor employees that reaches up to 11%.
3. Color or Shade the Bars:
- Use different colors or shading patterns to distinguish between adult (e.g., blue) and minor employees (e.g., red).
4. Add Titles and Legends:
- Title the graph: "Preferences for New Benefits by Employee Type".
- Include a legend to indicate which colors represent adult and minor employees.
#### Using Technology (e.g., Excel):
1. Input the Data:
- Enter the data into a table with columns for benefit categories, adult percentages, and minor percentages.
2. Create the Bar Graph:
- Select the data and insert a bar chart.
- Ensure that both sets of data appear adjacent to each other for each category.
3. Format the Chart:
- Add labels to the x-axis for the benefit categories and to the y-axis for percentages.
- Use different colors to distinguish between adult and minor employees.
- Add a chart title and a legend.
4. Adjust the Layout:
- Ensure bars for each category are close but slightly apart for clarity.
- Finalize and review to ensure all information is correctly represented.
### Example Layout:
Employee Discount
- Adult Employees: Blue bar up to 13%
- Minor Employees: Red bar up to 18%
Extra Week of Vacation
- Adult Employees: Blue bar up to 17%
- Minor Employees: Red bar up to 11%
Longer Lunch Breaks
- Adult Employees: Blue bar up to 30%
- Minor Employees: Red bar up to 11%
### Interpretation:
This segmented bar graph provides a visual comparison of the preferences of adult and minor employees regarding different potential benefits, helping to quickly identify which benefits are more valued by each group.
By following these steps, you should be able to create a clear and informative segmented bar graph representing the survey results.
