If the mean wage for 15 workers in Company A is 300 per day and in Company B the mean for its 20 workers is 280 per week. If Company A and Company B merge together, what is the mean salary for the 35 workers?
Answers
Given : mean wage for 15 workers in Company A is 300 per day and in Company B the mean for its 20 workers is 280 per week.
Company A and Company B merge together,
To Find : the mean salary for the 35 workers
Solution:
Company A mean wage for 15 workers in Company A is 300 per day
=> Per day wages = 15 * 300 = 4500 Rs
Company B the mean for its 20 workers is 280 per week.
=> mean for its 20 workers is 280/7 = 40 per day
=> Per day wages = 20 * 40 = 800 Rs
Total wages = 4500 + 800 = 5300
Total workers = 20 + 15 = 35
Mean salary per day = 5300 / 35 = 151.43 Rs
if data is considered either per day or per week
then ( 15 * 300 + 20 * 280)/ 35 will be mean salary for 35 workers per day/ week
= ( 4500 + 5600)/ 35
= 288.57 Rs
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