Lucky2783 wrote:
Ivan91 wrote:
What about D ) ???
Surely, at least one physician needs to earn less than the lowest paid dietitian in ordar to bring the average income of physicians (42 000) to be less than the one of dietitians (50,000) ?
This is a weighted average question .
we can have D a set in which salary starts from 1,2,3,4,5,6,7,8,9....\(50000*N\) ,
at the same time we can have set P which start with 2,3,4,5,6,7,8,9.....\(42000*K\)
now we can see there is no element in set P which is lower than the lowest element in set D .
As for answer choice C , why is this correct ? it is correct because if there is no employee who earned less than the average of P group then the average should go above 42000 K .
it is a weighted avg . question
(50000*D + 42000*K)/(N+K) = 40000
now if none of the member in K earned less than 42000 then this average would never be less than 42000.
Just a small adjustment to the nice explanation given by Lucky2783.
Why A cannot be inference?
Quote:
At Happywell, Inc., last year the average annual salary for dieticians was $50,000, while the average annual salary for physical therapists was $42,000. The average annual salary for all Happywell employees last year was $40,000.
From the stimulus we can infer that if the average of dieticians 50k and av of physical therapistsis 42k then the total averave will be between 50k....... 42k
Concerning the answer A
Quote:
(A) There were more physical therapists than dieticians at Happywell last year.
How it can be the case that the total average something between 50k....... 42k but the actual is 40?
So, there is another group of workers whose salary below the 42k.
In this case, we cannnot deduce # of "physical therapists"> that of "dieticians" or not.
Because we need 3d group with average below 42k to match the argument.
Hence, the equation will be following,
(50000*N + 42000*K + "<42k"*NG ) /(N+K+NG) = 40000
Where NG is a NewGroup