To solve this problem, I'll describe a step-by-step approach to convert the given data into a segmented bar graph representation properly.
1. Understand the Data Table:
- The table provides the percentages of 10th, 11th, and 12th graders who have signed up for different math classes (Geometry, Algebra II, and Pre-Calculus).
- Here's the data again for clarity:
[tex]\[
\begin{array}{|l|l|l|l|}
\hline
\text{Grade} & \text{Geometry} & \text{Algebra II} & \text{Pre-Calculus} \\
\hline
\text{10th} & 75\% & 20\% & 5\% \\
\text{11th} & 25\% & 45\% & 30\% \\
\text{12th} & 10\% & 40\% & 50\% \\
\hline
\end{array}
\][/tex]
2. Prepare to Plot the Segmented Bar Graph:
- A segmented bar graph represents different categories (Geometry, Algebra II, and Pre-Calculus) within each grade level.
- Each bar will represent a grade level, segmented into sections proportional to the percentage of students in each math class.
3. Segment Breakdown by Grade:
- 10th Grade:
- Geometry: [tex]\(75\%\)[/tex]
- Algebra II: [tex]\(20\%\)[/tex]
- Pre-Calculus: [tex]\(5\%\)[/tex]
- 11th Grade:
- Geometry: [tex]\(25\%\)[/tex]
- Algebra II: [tex]\(45\%\)[/tex]
- Pre-Calculus: [tex]\(30\%\)[/tex]
- 12th Grade:
- Geometry: [tex]\(10\%\)[/tex]
- Algebra II: [tex]\(40\%\)[/tex]
- Pre-Calculus: [tex]\(50\%\)[/tex]
4. Create the Segmented Bar Graph:
- For each grade, draw a bar divided into three segments representing Geometry, Algebra II, and Pre-Calculus.
- The length of each segment is proportional to the percentage of students in that category.
Example of how to draw a Segmented Bar Graph:
- Draw three vertical bars, one for each grade (10th, 11th, 12th).
- Each bar should be segmented according to the percentages given.
|
| Pre-Calculus [50%]
| Algebra II [40%]
12th __ | Geometry [10%]
|
|
| Pre-Calculus [30%]
| Algebra II [45%]
11th __ | Geometry [25%]
|
|
| Pre-Calculus [5%]
| Algebra II [20%]
10th __ | Geometry [75%]
|
Note that, in a real graph, you would likely use different colors or patterns for each of the math classes to make the segments distinct and easy to read.
Conclusion:
The correct segmented bar graph will represent each grade with a bar divided into segments proportional to the percentage of students enrolled in Geometry, Algebra II, and Pre-Calculus for that grade.
