Question
Download Solution PDFThe average weight of 100 employees in a company is 62 kg and that of the remaining 25 employees is 52 kg. Find the average weight of all the employees in the company.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven Data:
Number of employees = 100 + 25 = 125
Average weight of first 100 employees = 62 kg
Average weight of remaining 25 employees = 52 kg
Concept:
Total Weight = Number of Employees × Average Weight
Calculation:
Calculate the total weight of the 100 employees and the 25 employees separately.
⇒ Total weight of 100 employees = 100 × 62 = 6200 kg
⇒ Total weight of 25 employees = 25 × 52 = 1300 kg
Find the total weight of all 125 employees and calculate the overall average.
⇒ Total weight of 125 employees = 6200 kg + 1300 kg = 7500 kg
⇒ Average weight of 125 employees = Total weight / Total number of employees
⇒ Average weight = 7500 kg / 125 = 60 kg
Hence, the average weight of all the employees in the company is 60 kg.
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