Question

Determine the arithmetic mean of the following frequency distribution by short cut method (S.C.M)/deviation method? 

xi: 92, 125, 180, 80 

fi: 12,    7,     6,    9

Answer 1

The formula for weighted arithmetic mean by short cut method (S.C.M) / Deviation method is: 

x̅ = A + 1/N (∑fidi)

Let Assumed value (A) be equal to 100. 

A = 100

Calculate ∑f_id_i and proceed with the short cut method as follows:

Thus, the determined  weighted arithmetic mean by S.C.M is:  

111.14

The determined  weighted arithmetic mean by S.C.M is:  

111.14