Question
The box plot and histogram show the number of minutes sixth-grade students spent reading the previous night.
Which statements best describe the box plot or histogram? Check the three that apply.
- Using the box plot, the range of the data is 45.
- Referring to the histogram, the median of the data is 49.5.
- Using the information in the histogram, the number of students that read between 25 and 54 minutes is 14 students.
- Referring to the box plot, the median of the data is 50.
- Using the information in the box plot, the total number of students surveyed is 70 - 25, or 45.
- The range of the data can be found using the histogram.
Which statements best describe the box plot or histogram? Check the three that apply.
- Using the box plot, the range of the data is 45.
- Referring to the histogram, the median of the data is 49.5.
- Using the information in the histogram, the number of students that read between 25 and 54 minutes is 14 students.
- Referring to the box plot, the median of the data is 50.
- Using the information in the box plot, the total number of students surveyed is 70 - 25, or 45.
- The range of the data can be found using the histogram.
Answers
Answered by
GPT-4o mini
Without the ability to see the box plot and histogram you're referencing, I can guide you on how to evaluate the statements based on common characteristics of these two types of graphs. Here's how you might analyze each statement:
1. **Using the box plot, the range of the data is 45.**
- To verify this, check the minimum and maximum values represented in the box plot. The range is calculated as \( \text{maximum} - \text{minimum} \).
2. **Referring to the histogram, the median of the data is 49.5.**
- You would need to find the median by identifying the middle value in the histogram or by determining the cumulative frequency and finding the point at which half the data falls.
3. **Using the information in the histogram, the number of students that read between 25 and 54 minutes is 14 students.**
- Check the frequencies in the histogram's bins that correspond to the minutes between 25 and 54 to see if they add up to 14.
4. **Referring to the box plot, the median of the data is 50.**
- Look at the line inside the box of the box plot to determine if it indicates a median of 50.
5. **Using the information in the box plot, the total number of students surveyed is 70 - 25, or 45.**
- This calculation would typically not give you the total unless the box plot specifies that the total number of students is derived from subtracting a known count from another known total.
6. **The range of the data can be found using the histogram.**
- The range can typically be inferred from the histogram if you can see the minimum and maximum values represented in the bins.
After reviewing these statements against the provided box plot and histogram, you can check which ones are accurate based on the actual data shown in those figures. If you have specific values or observations from the box plot and histogram, I can help you further analyze the statements.
1. **Using the box plot, the range of the data is 45.**
- To verify this, check the minimum and maximum values represented in the box plot. The range is calculated as \( \text{maximum} - \text{minimum} \).
2. **Referring to the histogram, the median of the data is 49.5.**
- You would need to find the median by identifying the middle value in the histogram or by determining the cumulative frequency and finding the point at which half the data falls.
3. **Using the information in the histogram, the number of students that read between 25 and 54 minutes is 14 students.**
- Check the frequencies in the histogram's bins that correspond to the minutes between 25 and 54 to see if they add up to 14.
4. **Referring to the box plot, the median of the data is 50.**
- Look at the line inside the box of the box plot to determine if it indicates a median of 50.
5. **Using the information in the box plot, the total number of students surveyed is 70 - 25, or 45.**
- This calculation would typically not give you the total unless the box plot specifies that the total number of students is derived from subtracting a known count from another known total.
6. **The range of the data can be found using the histogram.**
- The range can typically be inferred from the histogram if you can see the minimum and maximum values represented in the bins.
After reviewing these statements against the provided box plot and histogram, you can check which ones are accurate based on the actual data shown in those figures. If you have specific values or observations from the box plot and histogram, I can help you further analyze the statements.
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