Question

# Find the arithmetic mean using step deviation method.

A
95
B
85
C
77.55
D
65

Solution

## The correct option is D $$77.55$$Answer:- Class interval width (i) = 25EarningsX No. of workersF$$u=\cfrac{X-A}{i}$$ Fu 25 10-1 -1050 = A 2000 75 30130100 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) 77.5Mathematics

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