How to obtain a perfect line with this kind of scientific data graphs?

In a lab the students get this kind of graphs to later be processed in an axial system:  a grayed pencil draw, very delicate, with all the imperfections in weight, intensity, etc.
We need to obtain an uniform line (a solid one, without gray variations, same weight, etc)
Autotrace seems the best tools although the results appear a little irregular.
What could be the best approach as we have hundreds to process?
Beginning with the scanning (more resolution?) and procesing firstly in Photoshop?
Thank you.

Your pink line looks exaclty like the first image you posted. Did you possibly swap the cyan and magenta colors in the legend (cyan looks less bumpy so so guessign that is actually you bezier path)?
If the legend is swapped, then you should see the path is off immediately after using make work path in photoshop. If the dpi of your scan is high enough (eg: a of minimum1000 pixels in each direction, and tolerance setting is low enough, you should get better resutls.

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