Left panel: Comparison of the 20 simulated 2D temperature profiles (solid points with errors) and reconstructed 2D temperature profiles obtained using IAE model (solid lines), the fitting being performed in the range [0.02-1] R₅₀₀ considering six 2D temperature bins. The shaded regions represent the 1-σ dispersion of the reconstructed 2D temperature profiles. The smaller subplots show the residuals of the fit. Right panel: Solid lines and the shaded regions show the corresponding reconstructed 3D temperature profiles and the 1-σ dispersion respectively. Also shown in the dashed lines are the true 3D mass-weighted temperature profiles.