Question

how to find mean of first 100 natural numbers

Answer 1

natural numbers from 1 to 100 are in AP with first term 1 last term 100 and common difference 1.

To find the mean first n natural numbers = 1,2,3...,n

Mean = (1+2+3...+n)/n

Mean = [n(n+1)/2]/n

Mean =[n+1]/2

Sp if n=100

Mean = [100+1]/2

=50.5

Answer 2

S = 10021002 (100 + 1), [Using the formula S = n2n2(a + l)]

                  = 50(101)

                  = 5050

Mean= sum(1 to 100) / 100
= 5050/100
= 50.5

Therefore mean= 50.5