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)