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.
In case it’s of interest, you can see some similar algebraic manipulations here: https://git.nunosempere.com/personal/squiggle.c/src/branch/master/squiggle_more.c#L165, as well as some explanations of how to get a normal from its 95% confidence interval here: https://git.nunosempere.com/personal/squiggle.c/src/branch/master/squiggle.c#L73.
Thanks for sharing, Nuño! Relatedly, I wrote about how to determine distribution parameters from quantiles.