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Relation between Mean of Deviations and Mean

Find the mean...

Question

Find the mean )arithmetic) of following frequency distribution :
Expenditure on water
(in Rs.) 15-20 20-25 25-30 30-35 35-40 40-45 45-50 50-55 55-60 60-65 65-70
No. of Houses 7 5 7 8 9 11 7 5 4 4 3

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Solution

Let A = 42.5, h = 5
Arithmetic mean $= A + \frac{\sum f_{i} u_{i}}{\sum f_{i}} \times h = 42.5 + \frac{- 41}{70} \times 5 = 42.5 - 2.93 = 39.57$
Thus, required A.M. = 39.57

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(i)

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