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Nov 12 - Data Sufficiency Question 110 students took a chemistry exam that was graded on a scale of 0 to 100. Five of the students were in Dr. Adams’ class and the other five students were in Dr. Brown’s class. Is the median score for Dr. Adams’ students greater than the median score for Dr. Brown’s students?
(1) The range of scores for students in Dr. Adams’ class was 40 to 80, while the range of scores for students in Dr. Brown’s class was 50 to 90.
(2) If the students are paired in study teams such that each student from Dr. Adams’ class has a partner from Dr. Brown’s class, there is a way to pair the 10 students such that the higher scorer in each pair is one of Dr. Brown’s students.
Source:
Manhattan Prep | Difficulty : Medium
To determine: Median(A) > Median (B)?
(1) A: 40,50,60,70,80 & B: 50,60,70,80,90 (In this case, answer is NO)
A: 40,80,80,80,80 & B: 50,60,70,80,90 (In this case, answer is YES)
NOT SUFFICIENT
(2) This statement basically says that each score of Dr Brown
Sorry, enter by mistake, let me re-type
To determine: Median(A) > Median (B)?
(1) A: 40,50,60,70,80 & B: 50,60,70,80,90 (In this case, answer is NO)
A: 40,80,80,80,80 & B: 50,60,70,80,90 (In this case, answer is YES)
NOT SUFFICIENT
(2) This statement basically says that each score of Dr Brown’s class > each score in Dr. Adam’s class
If each score is greater than each score in the other, then even the median score is Dr Brown’s class > Median score of Dr. Adams’ class
SUFFICIENT
Answer B