BTGmoderatorLU wrote:Source: Official Guide
What is the median number of employees assigned per project for the projects at Company Z?
1) 25 percent of the employees at Company Z have 4 or more employees assigned to each project.
2) 35 percent of the employees at Company Z have 2 or fewer employees assigned to each project.
The OA is C
Target question: What is the median number of employees assigned per project?
Statement 1: 25 percent of the projects at Company Z have 4 or more employees assigned to each project.
Let's pretend that there are 4 projects altogether.
There are several sets of values that meet this condition. Here are two:
Case a: the set of numbers representing employees per project are {1, 1, 1, 4} in which case
the median is 1
Case b: the set of numbers representing employees per project are {2, 2, 2, 4} in which case
the median is 2
Since we cannot answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project.
Using logic similar to the above, we can show that statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined:
35% projects have 2 employees OR FEWER, and 25% of the projects have 4 employees OR MORE. So, 40% projects have EXACTLY 3 employees.
To find the median, we must find the middlemost value when all of the values are listed in ASCENDING order.
So, the first 35% of the numbers will be 1's and 2's.
Then next 40% of the numbers will be 3's
And the last 25% of the numbers will be 4, 5's, etc
As you can see, the MIDDLEMOST value will be 3. In other words,
the median must be 3.
Since we
can answer the
target question with certainty, the combined statements are SUFFICIENT
Answer: C
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