Consider the following distribution of daily wages of 50 workers of a factory.
Find the mean daily wages of the workers of the factory by using an appropriate method.
Daily wages(in Rs): 100-120 12-140 140-160 160-180 180-200
Number of workers: 12 14 8 6 10
Answers
The mean daily wages of the workers is 145.2
Step-by-step explanation:
Step 1 :
The procedure to find the mean is as follows :
Find the class mark of the class intervals (x)
Choose any value from the class mark (A)
Subtract A from each class interval (d)
Find the product of f with the corresponding values of d (fd)
Add the values of fd
Mean = A + Σ fd /f
Step 2 :
The calculation following the above steps is as given below :
x f d( x-A,A = 110) fd
110 12 0 0
130 14 20 280
150 8 40 320
170 6 60 360
190 10 80 800
Mean = A+Σfd/Σf
= 110 +1760/50
= 110+35.2 = 145.2
Step 3 :
Answer :
The mean of the worker's wages is 145.2
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