Electric reduction potential, will naturally be different for each solution. For the use of easy reference, we assign he reaction of the standard hydrogen electrode to be 0.
This is just a convention, an arbitrary potential to give us a point of reference.
Just like with water, which freezes at 0
oC. Hexane boils at 69
oC and Benzene boils at 80
oC. That gives them a difference of 11
oC. If we said water freezes at 200
oC, the difference would still be 11
oC but they would boil at 269 and 280 respectively.
We we measure the half-cell potentials relative to the S.H.E. we are putting the potentials on a scale between which we can measure the difference.
http://en.wikipedia.org/wiki/Standard_electrode_potential