Average of 9 consecutive odd numbers is 27. If the previous and next odd number to these 9 odd numbers are also included, then what will be the new average?

27

Let the 9 numbers are(x - 8) (x - 6), (x - 4), (x - 2), x, (x + 2), (x + 4), (x + 6) (x + 8)

Now the sum = 9x

\(\frac{9x}{9}\) = 27

⇒ x = 27

Previous odd number of this list = x - 10

Next odd number of this list = x + 10

New sum when previous and next number is added = 11x

New average = \(\frac{11x}{11}\) = x = 27