If you have different viscosities at different shear rates it is because your fluid is non-Newtonian.
This means that all the data is valid and all could be converted.
It helps to report what type of fluid you have:
is it dialatant? (shear thickening)
pseudoplastic? (shear thinning)
Bingham palstic or whatever.
Does it show time or work dependency?
Is the behaviour reversable?
Now the key question is:
Why are you measuring the viscosity?
If you know the context for the measurement then, perhaps, you can narrow it down as to if there is a value that is appropriate.
For example, if it is pseudoplastic i.e. has a high viscosity at low shear rates then if you are trying to predict the behaviour when pumped you may need to extend your shear rate to higher values for a gear pump or to low values for a piston pump or other low shear pump if theproduct is permanently deformed (damaged) by high shear.
JMW