handouts/Misc/Warm-Ups/median.tex

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2023-05-17 12:51:41 -07:00
\documentclass[
nosolutions,
warning,
singlenumbering,
nopagenumber
]{../../resources/ormc_handout}
\usepackage[linguistics]{forest}
\begin{document}
\maketitle
{Warm-Up: A Familiar Concept}
{Prepared by Mark on \today.}
\problem{}<one>
Let $v = [-5, -2, 0, 1, 4, 1000]$. Find all $x$ that minimize the following metric. \par
$$
\sum_{\forall i} |v_i - x| = |v_1 - x| + |v_2 - x| + ... + |v_6 - x|
$$
\vfill
\problem{}
Let $v = [-5, -2, 0, 1, 4, 1000, 1001]$. Find all $x$ that minimize the metric in \ref{one}.
\vfill
\end{document}