  We are interested in determining the bound of the average of the degrees of
the irreducible characters whose degrees are not divisible by some prime $p$
that guarantees a finite group $G$ of odd order is $p$-nilpotent. We find a
bound that depends on the prime $p$. If we further restrict our average by
fixing a subfield $k$ of the complex numbers and then compute the average of
the degrees of the irreducible characters whose degrees are not divisible by
$p$ and have values in $k$, then we will see that we obtain a bound that
depends on both $p$ and $k$. Moreover, we find examples that make those bounds
best possible.
