BTGmoderatorDC wrote:What is the median number of employees assigned per project for the projects at Company Z?
(1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project.
(2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project.
OA C
Source: Official Guide
Say there are 20 employees. I assumed 20 instead of more intuitive 10 since 25% and 35% of 10 are not integers.
We know that of a set, the median is the value of the middle-most number when the numbers in the set are arranged in an ascending or descending order.
Say the number of employees assigned per project for 20 projects arranged in an ascending order are:
a, b, c, d, e, f, g, h, i,
J, K, l, m, n, o, p, q, r, s, t
Median = average of the 10th and the 11th number = (J + K)/2
Question rephrased: What's the value of J + K?
Let's take each statement one by one.
(1) 25 percent of the projects at Company Z have 4 or more employees assigned to each project.
25% of 20 = 5;
=> 5 projects at Company Z have 4 or more employees assigned to each project.
Because of the phrase, "more employees," we can conclude that these 5 projects are p, q, r, s, and t. However, we can't get the value of (J + K). J and K each have values from 0 to 3. Insufficient.
(2) 35 percent of the projects at Company Z have 2 or fewer employees assigned to each project.
35% of 20 = 7;
=> 7 projects at Company Z have 2 or fewer employees assigned to each project.
Because of the phrase, "fewer employees," we can conclude that these 7 projects are a, b, c, d, e, f, and g. However, we can't get the value of (J + K). J and K each have values 3 or greater. Insufficient.
(1) and (2) together
So, of the set: a, b, c, d, e, f, g, h, i,
J, K, l, m, n, o, p, q, r, s, t
a, b, c, d, e, f, and g are 2 or fewer AND p, q, r, s, and t are 4 or greater, this implies that each of h, I, J, k, l, m, n, and o is 3.
=> J + K = 3 + 3 = 6. Sufficient.
The correct answer:
C
Hope this helps!
-Jay
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