The average of 12 consecutive odd numbers is 32. What is the difference between the largest number and the smallest number that are part of the set of 12 consecutive odd numbers mentioned above?

22

Sum of 12 consecutive odd number = 12 × 32 = 384

Let smallest odd number = a

a + ( a + 2) + ( a + 4) +  ( a + 6) +  ( a + 8) +  ( a + 10) +  ( a + 12) +  ( a + 14) +  ( a + 16) +  ( a + 18) +  ( a + 20) +  ( a + 22) = 384

Difference in largest and smallest number = (a+22) - a = 22