Q. 325.0( 1 Vote )

# 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

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Answer :

Given, mean is ,

and x_{1}, x_{2}, …, 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

x_{1} + a, x_{2} + a, …,x_{n} + a

Let the new mean be x

Now, From [1] we have

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