To find the average of the four quiz scores, we first recall that the average is the sum of all scores divided by the number of scores.

The problem gives the first three quiz scores as 8 each, and the fourth score as $q$. Thus, the sum of the scores is:

$8 + 8 + 8 + q = 24 + q$

Since there are four quiz scores, the average is:

$\frac{24 + q}{4}$

Therefore, the average of the four quiz scores, in terms of $q$, is:

$\boxed{\frac{24 + q}{4}}$

Would you like further details or have any questions?

Here are five related questions:

1. What is the average if the fourth score is 10?
2. How does the average change if the first three scores are not equal?
3. What would the average be if the fourth score is a variable $x$ instead of $q$?
4. How can we express the average of five scores with the fifth score also variable?
5. How would the expression change if one of the first three scores was $x$ instead of 8?

Tip: When working with averages, always remember that the total number of terms must be accounted for in the denominator.