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Question

Find the arithmetic mean using step deviation method.
453136.png


A
95
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B
85
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C
77.55
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D
65
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Solution

The correct option is D $$77.55$$
Answer:- 
Class interval width (i) = 25

Earnings
No. of workers
F
$$u=\cfrac{X-A}{i}$$ Fu 
25 10-1 -10
50 = A 200
75 30130
100 40280
  $$\Sigma f = 100$$  $$\Sigma fu = 110$$ 
Mean = $$A+\cfrac{\Sigma fu}{\Sigma f}=50+\cfrac{110}{100} \times 25 ={50+25}=77.5$$
C) 77.5

Mathematics

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