handouts/Misc/Warm-Ups/median.tex

\documentclass[
	solutions,
	hidewarning,
	singlenumbering,
	nopagenumber
]{../../resources/ormc_handout}

\title{Warm-Up: A Familiar Concept}
\subtitle{Prepared by Mark on \today}


\begin{document}

	\maketitle


	\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

	\problem{}
	What is this metric usually called?

\end{document}