It's worth noting that most statistical packages include the ability to generate a five-number summary (https://en.m.wikipedia.org/wiki/Five-number_summary), which generates many of the described skew-independent descriptive statistics automatically. (R, for example, will generate a five-number summary for each feature of a data frame with a simple summary(df) )

The TL;DR is to just plot everything if possible to visualize skew explicitly (or tricks like the Quartet), and there are a number of tools which can do that without much LOC overhead. (e.g ggplot2)