This dataset includes initial EBSD maps of the Magnesium Rare-Earth alloy, SEM-DIC datasets with displacement and strain maps for a given Field of View (FOV), and Crystal Plasticity Finite Element simulations of the strain field, slip and twin activity for the same FOVs by setting up a Boundary Value Problem (BVP) with same boundary displacement conditions as the experimental data. The simulations have been performed using the PRISMS-CPFE code. The experimental input displacement and strain maps are in .mat format, readable by programs such as Matlab. The output files are in the *.vtu format, readable by programs such as VisIt and ParaView. This work was supported by the U.S. Department of Energy, Office of Basic Energy Sciences, Division of Materials Sciences and Engineering under Award#DE-SC0008637 as part of the Center for Predictive Integrated Structural Materials Science (PRISMS Center) at University of Michigan.