Bunuel
What is the median of the set with 9 positive integers?
(1) The mean of 4 smallest ones is 150
(2) The mean of 4 largest ones is 500
Target question: What is the median of the set with 9 positive integers?When I scan the two statements, they both feel insufficient, AND I’m pretty sure I can identify some cases with conflicting answers to the
target question. So, I’m going to head straight to……
Statements 1 and 2 combined There are sets of values that satisfy BOTH statements. Here are two:
Case a: {150, 150, 150, 150,
200, 500, 500, 500, 500}. In this case, the answer to the target question is
the median is 200Case b: {150, 150, 150, 150,
220, 500, 500, 500, 500}. In this case, the answer to the target question is
the median is 220Since we can’t answer the
target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent