I'm wondering, let's say I have two variables, one that is ordinal and one that is interval/ratio.

For the ordinal variable I am able to compute a median and range, and for the interval/ratio variable I can compute a mean and standard deviation, in order to measure central tendency and dispersion.

Would it be accurate to compare the central tendency and dispersion of the two variables (i.e. compare a mean to a median and compare a standard deviation to a range)?

With the range vs. standard deviation, I know the range is the highest minus the lowest score, whereas the standard deviation uses all scores to measure how dispersed they are. So are the two even comparable? Or could I still compare them to get a sense of which variable is more dispersed?

Likewise, does comparing a mean and median for two separate variables even tell me anything, or am I comparing apples to oranges?

Thanks,

Frodo