Not your Average Thursday (with Patrick) December 15 2011

[btunnell1]

On, Not your Average Thursday, with Patrick
12/15/2011
The last example was:
Each employee on a certain task force iws either a manager or a director. What percent of the employees on the task force are directors?
(1) The average (arithmetic mean) salary of the managers on the task force is $5,000 less than the average salary of all the employees on the task force.
(2) The average (arithmetic mean) salary of the directors on the task force is $15,000 greater than the average salary of all employees on the task force.

The answer was given as C. For that to be true, wouldn't we have to know that all the managers and all the directors received the same salary in their respective groups? e.g. You get the same (1) if there are 3 managers with salaries of $4k, $5k, & 6k or 1 manager with salary of $5k. Same reasoning with directors. Therefore, aren't both statements together insufficient?

[tim]

you tell me. the question is what percentage is directors. use your two different sets of numbers and tell us what answer you get to the overall question? if you can get two different answers, then the information is indeed insufficient. if you cannot get two different answers, the information is sufficient..