## Hydrogen peroxide production in water electrolysis

I'm trying to understand my textbook's answer to the following problem:

Q: Electrolysis can under certain circumstances result in the production of hydrogen peroxide. At which electrode will this occur, cathode or anode?

A: During the formation of hydrogen peroxide from water, oxygen is oxidized from -II state to -I state. Oxidation on the other hand takes place at the anode. Therefore hydrogen peroxide is formed at the anode.

The answer did not elaborate any further. I studied the standard electrode potentials of reactions involving hydrogen peroxide and found the following reactions:

\begin{align}
& (2)\quad 2\ H_{2}O\ (l)+2e^{-}\to H_{2}(g)+2\ OH^{-}\quad \left[ -0.83\ V \right] \\