Math, asked by diksha001, 9 months ago

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Answered by harshit3535
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Answer:

Step-by-step explanation:

Step deviation method is used in the cases where the deviation from the assumed mean 'A' are multiples of a common number. If the values of ‘di’ for each class is a multiple of ‘h’ the calculation become simpler by taking ui= di/h = (xi - A )/h

Here, h is the class size of each class interval.

★★ Find the class marks of class interval. These class marks would serve as the representative of whole class and are represented by xi.  

★★ Class marks (xi)  = ( lower limit + upper limit) /2

★★ We may take Assumed mean 'A’ to be that xi which lies in the middle of x1 ,x2 …..xn

MEAN = A + h ×(Σfiui /Σfi) , where ui =  (xi - A )/h

FREQUENCY DISTRIBUTION TABLE IS IN THE ATTACHMENT  

From the table : Σfiui = - 35 , Σfi = 200, h = 50

Let the assumed mean, A = 275

MEAN = A + h ×(Σfiui /Σfi)

MEAN = 275 + 50 (-35/200)

= 275 - 1750/200

= 275 - 35/4

= 275 - 8.75

= 266.25

Hence, the average expenditure per household is ₹ 266.25 .

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