To answer your question accurately, I would need to analyze the box plots you've described. Since I can't see the image, I'll guide you on how to compare the box plots based on their features:
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Interquartile Range (IQR): Look at the boxes for each plot. The box indicates the IQR, where the median is also represented. If the box for homework is higher on the number line than the no homework box, that would suggest students who did their homework scored higher on average.
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Whiskers and Outliers: Determine the length of the whiskers and whether there are any outliers. If the whiskers for the homework plot extend higher than those of the no homework plot, this again suggests higher scores.
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Median: The line in the box represents the median test score. Compare the median line of both plots to see where they lie on the scale.
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Overall Range: Check if either group has reached the maximum score (if 100 is considered perfect).
Considering the statements you provided:
- If the data shows that the median score for students who did their homework is indeed higher than for those who did not, then the statement about students who completed their homework scoring higher on average would be correct.
- If the box plots indicate that no students reached the maximum score, it would support the statement about no perfect scores.
Based on typical results from homework influencing test scores, you would likely be looking at the second statement: "On average, students who completed their homework scored higher than students who did not," as the most accurate interpretation of the data.
However, without the visual context, this analysis is based solely on statistical principles. Please review the box plots with these points in mind to select the correct statement.