If the mean observations x 1 , x 2 , ..., x n is , then the means of x 1 + a, x 2 + a, ..., x n + a is

Question

Philoid · Accepted Answer

Given, mean is ,

and x₁, x₂, …, x_n are n 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]

And we have another series

x₁ + a, x₂ + a, …,x_n + a

Let the new mean be x

Now, From [1] we have

If the mean observations x1, x2, ..., xn is , then the means of x1 + a, x2 + a, ..., xn + a is