Answer:
The mean salary for the 50 employees of the new company = $87
Explanation:
Mean for any n set of number is \
mean = sum of n terms/ n
_________________________________
For company A
The mean salary for the 20 workers in company A is $90 per week,
mean = $90
n = 20
using above formula
90 = sum of salary of 20 workers/20
sum of salary of 20 workers = 90*20 = $1800
__________________________________________________
For company B
The mean salary for the 30 workers in company A is $85 per week,
mean = $85
n = 30
using above formula
85 = sum of salary of 30 workers/30
sum of salary of 30 workers = 85*30 = $2,550
____________________________________________
If two companies merge
Total salary for all the 50 workers for both the company =
sum of salary of 20 workers in company A + sum of salary of 30 workers in company B = $1800 + $2550 = $4350
Mean salary of 50 workers will be
n= 50
mean = Total salary of 50 workers/50
mean salary of 50 workers = 4350/50 = 87
The mean salary for the 50 employees of the new company = $87