Question

The mean salary of all female workers is $35,000.Themeansalaryofallmaleworkersis$41,000. What must be true about the mean salary of all workers?

a. It must be \(38,000.

b. It must be larger than the median salary.

c. It could be any number between \)35,000 and \(41,000.

d. It must be larger than \)38,000.

e. It cannot be larger than $40,000.

Short answer

The correct option is (c)

c. It could be any number between $35,000 and $41,000.

Step-by-step solution

Step 1. Given information.

The mean salary of all female workers is $35,000. The mean salary of all male workers is $41,000.

a. It must be $38,000.

b. It must be larger than the median salary.

c. It could be any number between $35,000 and $41,000.

d. It must be larger than $38,000.

e. It cannot be larger than $40,000.

Step 2. Must be true in terms of the average wage of all workers

Because females average 35,000 and males average 41,000, the average must fall somewhere in the middle.

As a result:

c. It could be any number between $35,000 and $41,000.