These values are an estimate, not an avgas measurement. The only primary source we found is CRC Report 530 Fig 24. It is one line for jet and missile fuels (JP-4, JP-5, JP-7, JP-8, Jet A, Jet A-1, Jet B, RJ-4, RJ-5, RJ-6, JP-9 and JP-10). Aviation gasoline is not in its legend. CRC says the line is based on test data for eight of those fuels and is good to within 10 % of actual values for them. We do not know how close it is for avgas. Light hydrocarbon liquids of this kind usually have a similar thermal conductivity, but that is an assumption, not a result from a source.
About 0.11 W/(m·K) at 20 °C (0.067 Btu/(h·ft·°F)). Avgas is a poor conductor of heat: about one fifth of water (0.6 W/(m·K)).