In a factory, there are 12 welders, 15 electricians, 20 carpenters and 10 clerks. The mean weight of welder electricians, carpenters and clerks is 64.5 kg, 59 kg, 71 kg and 74 kg respectively. Find the mean weight of the employees of the factory

To find the mean weight of the employees in the factory, we can follow these steps:

1. Calculate the total weight of each group.
2. Calculate the total number of employees.
3. Calculate the total weight of all employees.
4. Calculate the mean weight of all employees.

Let’s go through these steps:

1. Calculate the total weight of each group:

Total_Weight_Welders = Number_of_Welders × Mean_Weight_Welders Total_Weight_Welders = 12 × 64.5 Total_Weight_Welders = 774 kg

Total_Weight_Electricians = Number_of_Electricians × Mean_Weight_Electricians Total_Weight_Electricians = 15 × 59 Total_Weight_Electricians = 885 kg

Total_Weight_Carpenters = Number_of_Carpenters × Mean_Weight_Carpenters Total_Weight_Carpenters = 20 × 71 Total_Weight_Carpenters = 1,420 kg

Total_Weight_Clerks = Number_of_Clerks × Mean_Weight_Clerks Total_Weight_Clerks = 10 × 74 Total_Weight_Clerks = 740 kg

2. Calculate the total number of employees:

Total_Employees = Number_of_Welders + Number_of_Electricians + Number_of_Carpenters + Number_of_Clerks Total_Employees = 12 + 15 + 20 + 10 Total_Employees = 57

3. Calculate the total weight of all employees:

Total_Weight_All_Employees = Total_Weight_Welders + Total_Weight_Electricians + Total_Weight_Carpenters + Total_Weight_Clerks Total_Weight_All_Employees = 774 + 885 + 1,420 + 740 Total_Weight_All_Employees = 3,819 kg

4. Calculate the mean weight of all employees:

Mean_Weight_All_Employees = Total_Weight_All_Employees / Total_Employees Mean_Weight_All_Employees = 3,819 / 57 Mean_Weight_All_Employees ≈ 67 kg

So, the mean weight of the employees in the factory is approximately 67 kg