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Table 1 Euclidean distance between the original spatial center of the distribution, as depicted by both median and mean of the points

From: Measuring the impact of spatial perturbations on the relationship between data privacy and validity of descriptive statistics

Perturbation method Change in median Change in mean
Original data 0 0
Random perturbation 50 m 0.32 0.11
Random perturbation 250 m 0.79 0.82
Random perturbation 500 m 18.54 0.63
Random weighted perturbation 5 NN 1.76 0.35
Random weighted perturbation 50 NN 3.69 1.09
Donut between 5 and 50 m 3.76 0.28
Donut between 50 and 250 m 2.65 5.58
Affine shear 123.49 0.38
Voronoi masked 0.84 0.18
Grid center w/100 m cells 42.09 1.6
Grid center w/250 m cells 32.91 4.29
Grid line w/100 m cells 7.91 0.6
Grid line w/250 m cells 6.68 1.29