answer:I think your professor is suggesting that quantitative variables are continuous variables. That means there is a continuous measurement and the intervals between each mark on the scale are the same. Qualitative variables seem to be those where it isn’t clear what the difference between each mark on the scales is. Things like the color of hair, where the difference between colors is a matter of opinion, not a matter of measurement. In your example, there really isn’t enough information about the unit of measurement to know. Is there a scale that determines medal depending on score on the measurement, or are the medals given out in some sort of opinionated way? So you need more information to decide, I think.