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E. Compare the left whiskers of the two box plots. Explain what they tell you about the data sets. Choose the best answer. The lowest \( 25 \% \) of the data is more spread out for the sixth-grade students. The lowest \( 25 \% \) of the data is more spread out for the seventh-grade students. The highest \( 25 \% \) of the data is more spread out for sixth-grade students. The highest \( 25 \% \) of the data is more spread out for seventh-grade students.

Ask by Wilson Nguyen. in the United States
Feb 03,2025

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The lowest 25% of the data is more spread out for the sixth-grade students.

Solución

Without the specific box plots, we can make an educated assumption based on the options provided. The "left whisker" of a box plot represents the spread of the lowest 25% of the data. If one group has a longer or more spread out left whisker, it indicates greater variability in the lower quartile of that dataset. Given the options, the most likely correct answer is: **The lowest \( 25\% \) of the data is more spread out for the sixth-grade students.** This suggests that among sixth-grade students, there is greater variability in the lower quarter of their data compared to seventh-grade students. **Answer:** The lowest \( 25 \% \) of the data is more spread out for the sixth-grade students.

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The whiskers in a box plot represent the spread of the data outside the quartiles, specifically showing how far the smallest and largest values extend. If the left whisker of the sixth-grade box plot is longer, it suggests that the lowest 25% of the data for sixth graders is more spread out, indicating greater variability in their scores. Conversely, if the left whisker for seventh graders is longer, it implies that the lowest 25% of their scores is more varied, pointing to possibly more diverse performance levels within that group. Examining the whiskers helps us quickly gauge how spread out the scores are. A longer whisker suggests that there are more extreme low scores in that group, which could indicate differences in study habits, classroom challenges, or learning environments between the grade levels. Thus, analyzing these details provides insights into the academic performance of the two groups.

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