The average of odd numbers up to 100 is

Solution (By Examveda Team)

Sum of odd numbers upto 100 = 1 + 3 + 5 +.....+ 99
= $$\frac{50}{2}$$ [2 + (50 - 1) × 2]
= 2500
[$$\because $$ Sum of n terms of an A.P. with first term a and common difference]
$$\left[ {d = \frac{n}{2}\{ 2n + \left( {n - 1} \right)d\} } \right]$$
∴ Required average
= $$\frac{2500}{50}$$
= 50