Demonstration of the effect of pre-averaging HMF vector data on 2D data distributions under Cartesian and spherical representations. Each panel shows a 2D histogram of data from STEREO A for the time interval considered in this work. From top to bottom, successively more aggressive pre-averaging is applied to the data set with panels showing one minute, one hour, and one day averages. The left hand panel shows the Cartesian components B_RR² versus B_TR², while theright hand column shows the spherical representation (clock angle versus magnitude). The histogram resolution is decreased with successive averages as the number of data points reduces. A black circle in the left hand column and vertical line in the right hand column shows a curve of |B|R² = 3nT AU² as a guide and point of comparison between the different averages and shows the averaging transformation is more magnitude preserving when applied to the polar representation as compared to the Cartesian representation.