Final answer:
To determine which of the statements about the two sections cannot be true based on the box plots, we need to analyze the information provided. The statement that cannot be true is that about 75% of the scores in Section II are greater than or equal to about 50% of the scores in Section I.
Step-by-step explanation:
To determine which of the statements about the two sections cannot be true based on the box plots, we need to analyze the information provided. The box plots show the 5-number summary for each section: 20, 30, 35, 45, 80 for Section I, and 120, 35, 45, 50, 60 for Section II.
A. The median of Section II is greater than the median for Section I: This statement can be true since the median of Section II is between 45 and 50, while the median of Section I is between 35 and 45.
B. About 75% of the scores in Section II are greater than or equal to about 50% of the scores in Section I: This statement cannot be true since the third quartile of Section II is 60, meaning that only 50% of the scores in Section II are greater than or equal to 50% of the scores in Section I.
C. There are the same number of scores in Section I and Section II: This statement cannot be determined based on the box plots alone. The number of scores in each section is not provided in the given information.
D. The range of scores for Section I is equal to the range of scores for Section II: This statement cannot be true since the range of scores for Section I is 80 (80-20) and the range for Section II is 60 (60-20), which are not equal.
The interquartile ranges are equal for both sections: This statement cannot be true since the interquartile range for Section I is 45 (45-30) and the interquartile range for Section II is 15 (50-35), which are not equal.
Based on the analysis, the statement that cannot be true is B. About 75% of the scores in Section II are greater than or equal to about 50% of the scores in Section I.