To calculate Planck's constant (h) from a graph, it's essential to understand the relationship between stopping potential and photon frequency in a photoelectric effect experiment. The stopping potential represents the maximum kinetic energy of electrons, which is influenced by the energy of the incoming photons. The formula h = e * U_a / f can be used, where U_a is the stopping potential and e is the electron charge. The discrepancy in the calculated value of h may stem from not accounting for the electron charge factor. By deriving the correct relationship from the graph, the accurate value of Planck's constant can be determined.