Two box plots, Group X and Group Y, display the distribution of scores on a standardized test. Group X's median is 75, IQR is 15, and range is 40. Group Y's median is 80, IQR is 10, and range is 30. Which of the following statements is TRUE?

The correct answer to the question "Two box plots, Group X and Group Y, display the distribution of scores on a standardized test. Group X's median is 75, IQR is 15, and range is 40. Group Y's median is 80, IQR is 10, and range is 30. Which of the following statements is TRUE?" is Option C: At least 25% of Group Y scored higher than Group X's median..

The other options — A) The highest score in Group X is necessarily greater than the highest score in Group Y., B) Group Y has a greater spread of the middle 50% of scores than Group X., D) The lowest score in Group X is necessarily lower than the lowest score in Group Y. — are incorrect for this GMAT Exam Prep question. As explained above: Group Y's median is 80. By definition, at least 50% of Group Y scored 80 or higher. Since Group X's median is 75, at least 50% of Group Y scored higher than Group X's median. Options A, B, D cannot b…