Okay, Agahnim, here is the SQL. It might be a little easier to use some built-in tools for Access but I never touch that stuff, I just know the SQL.
SELECT Employees.DepartmentName, (Str(Int(Avg(DatePart("m", FamilyMembers.FamilyMemberDateOfBirth)))) & '/' & Str(Int(Avg(DatePart("d", FamilyMembers.FamilyMemberDateOfBirth)))) & '/' & Str(Int(Avg(DatePart("yyyy", FamilyMembers.FamilyMemberDateOfBirth))))) AS AvgOfFamilyMemberDateOfBirth
FROM Employees INNER JOIN FamilyMembers ON Employees.EmpID = FamilyMembers.EmpID
GROUP BY Employees.DepartmentName;
It is ugly but it works on my machine. You might want to replace the ampersands with + signs.
Just to explain it, the DatePart function rips a certain piece of the date out. "m" as a argument will get the month, "d" the day and "yyyy" the four character year. Then, just average those results and turn them into an integer (to round the number, since AVG returns a decimal as well i.e. 12.6666667). Finally it just converts them to a string. Enjoy!
** EDIT **
Excellent! Glad to see it work, Agahnim. Have a great weekend and stay away from "The Flu".