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, …, xk 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)

33