Finding the Min and Max of a range when I know the 25th, 50th, and 75th Percentiles


New member
Mar 2, 2018
Hi All,

I'm trying to figure out if there is a way to calculate the minimum and maximum of a range where I already know the values of the 10th, 25th, 50th, 75th, and 90th percentiles.


I've done a bunch of searches on Google and various sites and I'm not sure if I'm just phrasing my question poorly but I can't find anything.

Thanks in advance.


Full Member
Mar 25, 2016
Unfortunately, what you're seeking is not possible. Consider the data set {118, 119, 119, 137, 137, 137, 140, 140, 140, 155, 155, 160, 160, 173, 173, 173, 191, 191, 200}. This meets all of your percentile requirements. The minimum is 118 and the maximum is 200. But now replace the 118 with 0. The five percentiles didn't change, but the minimum is now 1. Similarly, you can replace 200 with a trillion and not change the percentiles. Hence, the only thing you can possibly say about the minimum and the maximum is that the minimum value is at most 119 and the maximum is at least 191.