For example, in set $S$, what is the smallest element that is not an outlier? (An outlier being either $1.5(Q_3-Q_1)$ greater than $Q_3$ or less than $Q_1$)
2026-03-31 20:27:06.1774988826
How to mathematically express the smallest non-outlier element in a set?
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What you are asking for is $$ \min \{x \in S \mid x \geq 2.5Q_1 - 1.5Q_3\}, $$ but what you actually need is what you have already written down, as Ethan Bolker points out in the comments: a concise readable description of the element you are looking for.