Question
Two box plots, 1 below the other, are over a number line ranging from 20 to 100 in increments of 10. The plots are labeled Test Grades. The top box plot represents No Homework and the bottom box plot represents Homework.
Compare the box plots summarizing the test scores of students who completed their homework versus those who did not complete their homework. Which statement is correct?
(1 point)
Responses
No student got a perfect score on the test.
No student got a perfect score on the test.
All students who completed their homework scored higher than students who did not.
All students who completed their homework scored higher than students who did not.
On average, students who completed their homework scored higher than students who did not.
On average, students who completed their homework scored higher than students who did not.
All students who did not do their homework scored below 70%.
All students who did not do their homework scored below 70%.
Compare the box plots summarizing the test scores of students who completed their homework versus those who did not complete their homework. Which statement is correct?
(1 point)
Responses
No student got a perfect score on the test.
No student got a perfect score on the test.
All students who completed their homework scored higher than students who did not.
All students who completed their homework scored higher than students who did not.
On average, students who completed their homework scored higher than students who did not.
On average, students who completed their homework scored higher than students who did not.
All students who did not do their homework scored below 70%.
All students who did not do their homework scored below 70%.
Answers
GPT-4o mini
To determine which statement is correct based on the box plots summarizing the test scores of students who completed their homework versus those who did not, we would need to analyze the key features of the box plots, which typically include the median, quartiles, and any outliers.
1. **No student got a perfect score on the test.** - This statement could be true if the maximum value of the "No Homework" and "Homework" box plots is below the perfect score (often 100), but without specific data, we can't conclude this.
2. **All students who completed their homework scored higher than students who did not.** - This statement would only be true if the entire "Homework" box plot is shifted to the right (higher scores) compared to the "No Homework" box plot. Without visual confirmation, we can't ascertain this.
3. **On average, students who completed their homework scored higher than students who did not.** - For this statement to be accurate, the median of the "Homework" box plot would need to be higher than that of the "No Homework" box plot. If the box plot for "Homework" is consistently higher, this statement is likely true.
4. **All students who did not do their homework scored below 70%.** - This statement would be true if the entire "No Homework" box plot is situated below the value of 70 on the number line. Again, we need more information.
Considering the general trends associated with homework completion and its potential impact on test scores, the most reasonable assertion based on typical outcomes in educational settings would likely be:
**On average, students who completed their homework scored higher than students who did not.**
This choice is often supported by educational research and practices, leading us to select that statement. However, the final choice should ideally be reinforced by specific observations from the box plots directly.
1. **No student got a perfect score on the test.** - This statement could be true if the maximum value of the "No Homework" and "Homework" box plots is below the perfect score (often 100), but without specific data, we can't conclude this.
2. **All students who completed their homework scored higher than students who did not.** - This statement would only be true if the entire "Homework" box plot is shifted to the right (higher scores) compared to the "No Homework" box plot. Without visual confirmation, we can't ascertain this.
3. **On average, students who completed their homework scored higher than students who did not.** - For this statement to be accurate, the median of the "Homework" box plot would need to be higher than that of the "No Homework" box plot. If the box plot for "Homework" is consistently higher, this statement is likely true.
4. **All students who did not do their homework scored below 70%.** - This statement would be true if the entire "No Homework" box plot is situated below the value of 70 on the number line. Again, we need more information.
Considering the general trends associated with homework completion and its potential impact on test scores, the most reasonable assertion based on typical outcomes in educational settings would likely be:
**On average, students who completed their homework scored higher than students who did not.**
This choice is often supported by educational research and practices, leading us to select that statement. However, the final choice should ideally be reinforced by specific observations from the box plots directly.