In the file "100GPa-20nm-roundness-vs-strength.dat" we provide data for the compressive strength (in GPa) (column-2) plotted as a function of the particle's roundness (column-1) for a 20 nm nickel nano-particle compressed using a 100 GPa (soft) indenter. The data in "500GPa-20nm-roundness-vs-strength.dat" has the same meaning, however, in this case the particle was compressed using a "harder" 500 GPa indenter. In the files "100GPa-min-env-compression.dat" and "500GPa-min-env-compression.dat" we provide the compressive strength (in GPa) (column-2) plotted as a function of the equilibrium shaped nickel nano-particle's diameter (in nm) (column-1) for the two aforementioned indenter choices. The data was generated using molecular dynamics simulations carried out using the LAMMPS simulation software with the atomic interactions modeled using an embedded atom method potential.