Datasets for Figures 2, 3 and 4 of the manuscript "Quantum-Enhanced Multi-Parameter Sensing in a Single Mode" (arXiv:2412.04865, 2024). grid_metrological_gain.csv contains the experimental data plotted in Figure 2(b). grid_chis_delta_061.csv, grid_chis_delta_037.csv, grid_chis_delta_030.csv, contains the experimental data plotted in Figures 2a, i-iii. They correspond to reconstructed characteristic functions for grid states with target squeezing parameters of Delta = 0.61, 0.37 and 0.30, respectively. grid_qpe_non_adaptive.csv contains the experimental data plotted in Figure 3(a,b), corresponding to non-adaptive QPE. It contains both the individual variances, and their combined variance. grid_qpe_adaptive.csv contains the experimental data plotted in Figure 3(a,b), corresponding to adaptive QPE. np_sin_chis_nbar_10.csv contains the experimental data plotted in Figure 4(c), corresponding to the reconstructed characteristic function of a number-phase state with a sine envelope and = 10. np_metrological_gain.csv contains the experimental data plotted in Figure 4(d). It contains both the invidual variances of number and phase, and the summed variances after resclaing.