the mean annual salary paid to all employees in a company is

the mean annual salary paid to all employees in a company is $36,000. the mean annual salaries paid to male and female employees of the company is $34,000 and $40.000 respectively.determine the percentages of males and females employed by the company.

Solution

This is essentially a weighted mean, with weight = percetage of each gender, for example let x= fraction males.

(x*34000) + (1-x)*40000 = 36000 => x = 2/3 => 66.67% are males and 33.33% are females.