Find the means of 1,2,3......n

Question

What the means of 1,2,3.....n

Answer 1

Mean = sum of numbers / total number of observations

 sum of 1,2....n= n(n+1)/2

total no of observations= n

 

Mean = n(n+1)/2 n

        =  (n+1)/2 

 

Answer 2

 

 The formula is (n+1)/2

 

It can be proven by induction.