To identify the segmented bar graph that best matches the provided data, we need to break down the percentages for both Middle School and High School students regarding their beverage choices: Juice and Milk. Here is a detailed explanation for each step:
Step-by-Step Solution:
1. Understand the Given Data:
The table provides the percentage of Middle School and High School students who chose either Juice or Milk:
- Middle School Students:
- Juice: [tex]\( 62\% \)[/tex]
- Milk: [tex]\( 38\% \)[/tex]
- High School Students:
- Juice: [tex]\( 47\% \)[/tex]
- Milk: [tex]\( 53\% \)[/tex]
2. Define the Components for the Segmented Bar Graph:
Each segmented bar graph will have two bars – one for Middle School students and one for High School students. Each bar should be divided into two segments representing the percentages of students choosing Juice and Milk.
3. Construct the Middle School Bar:
- Juice:
- Proportion = [tex]\( 62\% \)[/tex]
- Milk:
- Proportion = [tex]\( 38\% \)[/tex]
The segmented bar for Middle School will be divided into:
- 62% Juice segment
- 38% Milk segment
4. Construct the High School Bar:
- Juice:
- Proportion = [tex]\( 47\% \)[/tex]
- Milk:
- Proportion = [tex]\( 53\% \)[/tex]
The segmented bar for High School will be divided into:
- 47% Juice segment
- 53% Milk segment
5. Combine the Two Bars Properly:
Each bar should be 100% in height but divided proportionally based on the given percentages.
Interpretation of Result:
The segmented bar graph should display two bars, each consisting of segments showing the given beverage choice percentages. Here is what the two bars should look like:
- Middle School Bar:
- Top 62% indicates Juice
- Bottom 38% indicates Milk
- High School Bar:
- Top 47% indicates Juice
- Bottom 53% indicates Milk
6. Conclusion:
To match the provided data visually:
- Ensure that for Middle School, the segment representing Juice (62%) is larger than the segment representing Milk (38%).
- For High School, the segment representing Milk (53%) is larger than the segment representing Juice (47%).
By constructing the segmented bar graph in this manner, you accurately reflect the beverage choices recorded by the school cafeteria for both Middle School and High School students.
