ΔE 7.6, close: similar, with a visible difference side by side. Weathered Stone is a little darker than Administratum Grey.
Usually, if you are not matching paint already on the model. Close match (ΔE 8). Weathered Stone is a little darker than Administratum Grey.
The same difference applies the other way round: Administratum Grey is a little lighter.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Administratum Grey on the colour wheel See Weathered Stone on the colour wheel
All matches: Administratum Grey equivalents · Weathered Stone equivalents