Natural Earth Projection – Distortion
The Natural Earth projection, which is neither equal-area, equidistant, nor conformal, strikes a compromise in regard to overall distortion. In the tables below produced in Flex Projector, closer to the top is better. See below for explanation.

Explanation:

Acc. 40° 150% – The Acceptance index is a numerical measure that summarizes overall projection distortion, in this case with a maximum angular distortion of 40° and areal distortion of up to 150%.

Scale – The weighted mean error for overall scale distortion.

Areal – The weighted mean error for areal distortion.

Angular – The mean angular deformation index.


For a detailed explanation of the distortion tables above refer to this article.