Are there typical values of pitot-static and TAT probe measurement uncertainties?
The pressure and temperature measurement devices are analog instruments, extracting parameters that are of value to pilots from physical phenomena. Unfortunately, the physical world throws in a variety of effects, linear and non-linear, that make it difficult to extract the parameter of value. Noise is one of them, but in a way that is exactly what we want to measure since pressure is just the average value of noise in the speed of gas molecules in air.

In the pitot tube there are a couple of effects that make the measurements non-trivial:


Friction between the air and the tube causes a velocity distribution that varies with flow radius relative to tube radius.
Fluid mechanics causes different behaviour at different conditions, such as laminar or turbulent flow, or supersonic shock waves.
Inertia of the particles creates a time delay in pressure measurements as a function of airspeed and could can cause back pressure surges.
Old fashioned thermodynamics such as the ideal gas law impose non-linear functions on the relationship between pressure, volume and temperature.


From Wiki

All these effects need to be considered in order to measure just the total pressure and the static pressure, and then to extract the airspeed, altitude etc from these.

If it is calibration data of the sensors that you are after, that science is fortunately over 100 years old.