The mean monthly salary paid to 75 workers in a factory is ₹ 5680. The mean salary of 25 of them is ₹ 5400 and that of 30 others is ₹ 5700. Then the mean salary of the remaining workers will be ₹[[1]].

Question

The mean monthly salary paid to 75 workers in a factory is ₹ 5680. The mean salary of 25 of them is ₹ 5400 and that of 30 others is ₹ 5700. Then the mean salary of the remaining workers will be ₹[[1]].

Accepted Answer

The mean monthly salary paid to 75 workers in a factory is ₹ 5680. The mean salary of 25 of them is ₹ 5400 and that of 30 others is ₹ 5700. Then the mean salary of the remaining workers will be ₹[[1]].

Mean=
    
     Sum of all observations
    
      Number of observations

Mathematically,

Sum of salaries of 75 workers
      
       75
     
     =5680

Sum of salaries of 75 workers=5680×75

=426,000

Also, the mean salary of 25 of them is ₹5400 and 30 others is ₹5700. Mathematically,

Sum of salaries of 25 workers
      
       25
     
     =5400

Sum of salaries of 25 workers=5400×25

=135,000

Sum of salaries of 30 workers
      
       30
     
     =5700

Sum of salaries of 30 workers=5700×30

=171,000

So, the sum of salaries of 25 workers=135,000.And, the sum of salaries of 30 workers= 171,000. Adding the salaries,

135,000+171,000=306,000
 Now, subtracting the salary of (25+30=55) workers from that of the salary of 75 workers ,

426,000+306,000=120,000
  So, sum of observations= 120,000 and the number of observations= 20.Thus, the mean of rest of the 25 workers using the above formula is,

Mean=
      
       120,000
      
       20

=6,000

Therefore, the mean of remaining salaries of the workers is ₹6,000.

The mean monthly salary paid to 75 workers in a factory is ₹ 5680. The mean salary of 25 of them is ₹ 5400 and that of 30 others is ₹ 5700. Then the mean salary of the remaining workers will be ₹[[1]].

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