parkhydel
What is the median of the nine consecutive even integers in a certain list?
(1) The median of the integers in the list is greater than 0.
(2) Of the integers in the list, the sum of the least of the negative integers and the least of the positive integers is –4.
Target question: What is the median of the nine consecutive even integers in a certain list? Statement 1: The median of the integers in the list is greater than 0. There are several scenarios that satisfy statement 1. Here are two:
Case a: The numbers are {0,2,4,6,
8,10,12,14,16}. In this case, the answer to the target question is
the median is 8Case b:The numbers are {2,4,6,8,
10,12,14,16,18}. In this case, the answer to the target question is
the median is 10Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: Of the integers in the list, the sum of the least of the negative integers and the least of the positive integers is –4.Since
2 is the
smallest positive even number, we can write:
(smallest negative value) +
2 = -4
This means the smallest negative value = -6
So, the nine consecutive even integers must be {-6, -4, -2, 0, 2, 4, 6, 8, 10}, at which point we can see that
the median is 2Since we can answer the
target question with certainty, statement 2 is SUFFICIENT
Answer: B
Cheers,
Brent