Gre consecutive even integers question

187 Views Asked by At

The sum of $101$ consecutive even integers is $20,200$.

I'm stuck on proving that their average and median, they are actually equal by the answer.

Notice average is $\frac{20200}{101} = 200$, and the pattern $$x , x + 2, x + 4, \dots$$ But how do I find the median through this, any help?