Question

The average salary of all female workers at a large plant is $35,000. The average salary of all male workers at the plant is $41,000. If there are more male workers than female workers at the plant, then the average salary at the plant must be

above $41,000

exactly $38,000    

larger than $38,000

smaller than $38,000

Answer 1

Correct option:

larger than $38,000

EXPLANATION:

Let

x = number of male workers

y = number of female workers

Given x > y.

Given:

Mean salary of female workers = 35,000

So,

Total salary of female workers = 35,000 y

Mean salary of male workers = 41,000

So,

Total salary of male workers = 41,000 x

So,

Total salary of all workers = 41,000 x + 35,000 y

Total number of workers = x + y

So,

Average salary at the plant =

Since x > y,

Correct option:

larger than 38,000