To accurately determine which statement is correct regarding the test scores of students who completed their homework versus those who did not, one would typically need to examine the actual box plots in question. However, based on standard interpretations of box plots, we can make some educated guesses.
Here's an analysis of the statements:
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"On average, students who completed their homework scored higher than students who did not."
- This could be correct if the box plot shows a higher median and possibly a higher range of scores for students who completed their homework compared to those who didn’t.
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"All students who completed their homework scored higher than students who did not."
- This statement would generally be too strong unless the box plot indicates that all scores for students who completed homework are above all scores for students who did not, which is unlikely.
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"No student got a perfect score on the test."
- This would be valid if the box plots indicate that the maximum score does not reach the highest possible score available on the assessment.
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"All students who did not do their homework scored below 70%."
- This statement would only be accurate if the box plot shows that the highest score for the no-homework group is less than 70%.
To decide which statement is correct without the visuals, the first statement ("On average, students who completed their homework scored higher than students who did not.") is often the most plausible conclusion derived from educational research and common observations.
However, if you have access to the actual box plot data, please refer to the maximum and median scores, ranges, and any outliers to make a more informed decision.