Question

formula for avg of natural nos?

 

Answer 1

Heya folk !!

Here's the answer you are looking for

The avg. of any observed data

$= \frac{sum \: of \: observed \: data}{number \: of \: observations}$

$So, \: sum \: of \: all \: natural \: numbers = \: \frac{n(n + 1)}{2}$
Where, n is the total number of natural numbers.

$Therefore, \: the \: avg. \: of \: n \: natural \: numbers \: is \\ = \frac{ \frac{n(n + 1)}{2} }{n} \\ \\ = \frac{n(n + 1)}{2n} \\ \\ = \frac{n + 1}{2}$


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Answer 2

$\sf average \: = \frac{sum \: of \: ovservations}{total \: no \: of \: observations}$