If you have an electrolyte of $\ce{Zn^2+}$ and $\ce{SO4^2-}$ (Neutral) Then you dip in it a Zinc electrode.
Zinc potential is $\pu{-0.74 V}$ (relative to SHE). So that means there is a $\pu{-0.74V}$ difference between the electrolyte and the electrode.
But When you dip in the solution the electrode makes the solution more positive and it self more negative the same amount so the overall potential of the electrode will be $\pu{-0.74 V} / 2 = \pu{-0.37 V}$, and the solution will be at $\pu{+0.37 V}$.
Is this true? (assuming the solution is not connected to any other salt bridge or porous disk)
Edit: Absolute electrode potential is really the difference between the electrolyte and the electrode potential.
And the question is just this if you have an electrode inside an electrolyte with no salt bridge will it's potential be halfed.