The mean or average of observations, is the sum of the values of all the observations divided by the total number of observations. If x 1 , x 2 , … , x n are observations with frequencies f 1 , f 2 , … , f n i.e. x 1 occurs f 1 times and x 2 occurs f 2 times and so on, then we have Sum of the values of the observations = f 1 x 1 + f 2 x 2 + … + f n x n and Number of observations = f 1 + f 2 + … + f n So, mean( ) of observations is given by Or, In summation form, it can be shorted to Which also can also be written as, And it is understood i varies from 1 to n.

Define mean.

The mean or average of observations, is the sum of the values of all the observations divided by the total number of observations.

If x₁, x₂, … , x_n are observations with frequencies f₁, f₂, … , f_n i.e. x₁ occurs f₁ times and x₂ occurs f₂ times and so on, then we have

Sum of the values of the observations = f₁x₁ + f₂x₂ + … + f_nx_n

and Number of observations = f₁ + f₂ + … + f_n

So, mean() of observations is given by

Or,

In summation form, it can be shorted to

Which also can also be written as,

And it is understood i varies from 1 to n.