Consider the following distribution of daily wages of 50 workers of a factory. Daily wages (in Rs.) 500-520 520-540 540-560 560-180 580-600 Number of workers 12 14 8 6 10 Find the mean daily wages of the workers of the factory by using step deviation method.
Answers
Given : distribution of daily wages of 50 workers of a factory.
To find : the mean daily wages of the workers of the factory by using step deviation method.
Solution:
Wages Frequency f Mean wages A= (mean -550 )/20 Af
500 - 520 12 510 -2 -24
520 - 540 14 530 -1 -14
540 - 560 8 550 0 0
560 - 580 6 570 1 6
580 - 600 10 590 2 20
Total 50 -12
Mean = 550 + (20)(-12)/50
= 550 - 4.8
= 545.2
mean daily wages of the workers of the factory = 545.2
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Here, I used direct mean method.
But you can also do with assumed mean or short method.
Final answer :
Mean wage of 50 employees is Rs. 545.2 .
