# scatterplot in 3d

I have several points in $$\mathbb{R}^{3}$$. When I create a 3D scatterplot of the points, they seem to lie on an ellipsoid as shown in the above plot. How do I interpret the plot ? Does it indicate that the points follow a trivariate normal distribution ?

• On or inside? Can you post the plot? – user2974951 Jul 23 '19 at 5:54
• See the plot in the edited question. – Sayan Jul 23 '19 at 8:29
• We can't judge a complex distribution from this plot. It's not obviously inconsistent with it, as far as I can see. And as for it's interpretation, I think you need to say more about what this represents before we can offer meaningful opinions. – mkt - Reinstate Monica Jul 23 '19 at 8:42
• The scatterplot represents a bootstrap sample of size 100,000 for the vector of spatial (geometric) medians obtained from datapoints in $\mathbb{R}^{3}$. – Sayan Jul 23 '19 at 14:13
• 3 D scatterplots (and other 3 D plots) are notoriously hard to interpret. You could look at a lattice of 2 D plots. You could also look at other graphs. – Peter Flom Jul 24 '19 at 11:50