Mean of a certain number of observations is . If each observation is divided by m(m ≠ 0) and increased by n, then the mean of new observation is

Given, mean is ,

Let x₁, x₂, …, x_k are k observations.

And we know

The mean or average of observations, is the sum of the values of all the observations divided by the total number of observations.

i.e.

….[1]

Given, the terms are divided by m and increased by n. Then the terms will be

Let the new mean be x

Now, From [1] we have

Hence correct option is (A)