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 ∑fixi / ∑fi
The value of ∑fixi and ∑fi can be calculated as follows:
|
Salary (in ₹) = xi |
Numbers of workers = fi |
fixi |
|
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 |
|
|
∑fi = 60 |
∑fixi= 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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