Thanks for sharing, Nuño! Relatedly, I wrote about how to determine distribution parameters from quantiles.
TLDR: Feel free to download or make a copy of this Sheets to calculate the parameters of uniform, normal, loguniform, lognormal, pareto and logistic distributions (including the mean and median), based on the values of 2 quantiles.
Thanks for sharing, Nuño! Relatedly, I wrote about how to determine distribution parameters from quantiles.