Find the mean salary of 60 workers of a factory from the following table:
Solution:
The grouped mean for data with different proportions is given by the formula ∑f_{i}x_{i }/ ∑f_{i}
The value of ∑f_{i}x_{i }and ∑f_{i }can be calculated as follows:
Salary (in ₹) = x_{i} 
Numbers of workers = f_{i} 
f_{i}x_{i} 
3000 
16 
3000 (16) = 48000 
4000 
12 
4000 (12) = 48000 
5000 
10 
5000 (10) = 50000 
6000 
8 
6000 (8) = 48000 
7000 
6 
7000 (6) = 42000 
8000 
4 
8000 (4) = 32000 
9000 
3 
9000 (3) = 27000 
10000 
1 
10000 (1) = 10000 

∑f_{i} = 60 
∑f_{i}x_{i}= 305000 
Mean salary = 305000/60 = 5083.33
Therefore, the mean salary of 60 workers is ₹ 5083.33.
☛ Check: NCERT Solutions Class 9 Maths Chapter 14
Video Solution:
Find the mean salary of 60 workers of a factory from the following table:
NCERT Solutions for Class 9 Maths Chapter 14 Exercise 14.4 Question 5
Summary:
The data of the salary of 60 workers of a factory is given. Therefore, the mean salary of 60 workers is ₹ 5083.33.
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