what is average of 6 consecutive numbers that add up to 150?

If by "numbers,' you mean consecutive positive integers, this isn't possible...to see why.....

Let the  "numbers"  be  x, x + 1  x + 2, x + 3, x + 4, x + 5

Adding these together  we get     6x + 15

So

6x + 15  =  150       subtract 15 from both sides

6x  =  135              divide both sides by 6

x  =  22.5      so.....the first number isn't an integer and neither are the other five

But.......the average of these "consecutive" numbers is 25  as follows

[ 22.5  +  23.5 + 24.5 + 25.5 + 26.5 + 27.5 ]  / 6  =

[ 22.5 + 27.5 + 23.5 + 26.5 + 24.5 + 25.5 ] / 6  =

[50 + 50 + 50 ] / 6   =

150 / 6    =

25