Answer :

Given, mean is ,

Let x_{1}, x_{2}, …, 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)

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