20 plzz

Dear student

We need to find the weighted mean of first  natural numbers whose weights are equal to the corresponding numbers.

Weighted mean is defined as follows.

Consider the set of data

Whose weights are:

Weighted mean is calculated as :

Which means:

Thus, mean of first  natural numbers are:

 

 

Thus weighted mean of first  natural numbers whose weights are equal to the corresponding numbers is:

 
Regards

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