Question

How is the short cut method (S.C.M) / deviation method for arithmetic mean applied in case of continuous class distribution?

Answer 1

For the determination of arithmetic mean in case of continuous class distribution by short cut method (S.C.M), here also we take an  arbitrary value in x i.e. Assumed value (A).

Also, 

In continuous class distribution, there is a statistic of class width. Let's say given class width is h.

We proceed with S.C.M / deviation method as follows:

Thus, the required mean by short cut method (S.C.M) / Deviation method is:

x̅ = A + h= A + 1/N (∑fidi) . h

 Short cut method (S.C.M) formula for arithmetic mean in case of continuous class distribution is:

x̅ = A + h= A + 1/N (∑fidi) . h