Q. 14.0( 2 Votes )

Define mean.

Answer :

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, … , xn are observations with frequencies f1, f2, … , fn 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 + … + fnxn

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

So, mean() of observations is given by


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.

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