From 608be9447ec10ec0aecaa666988366581a3d10e5 Mon Sep 17 00:00:00 2001
From: Patrick Hall <jpatrickhall@gmail.com>
Date: Sun, 4 Jun 2023 13:05:11 -0400
Subject: [PATCH] fix minor typo

---
 tex/lecture_3.pdf | Bin 1858559 -> 1858552 bytes
 tex/lecture_3.tex |   2 +-
 2 files changed, 1 insertion(+), 1 deletion(-)

diff --git a/tex/lecture_3.pdf b/tex/lecture_3.pdf
index 980a6c01b4430d5a3d3ed2ad4dbe49263f9f50cf..bfa98adeccc8aa57d2b900ccb4d9a9d79af062d2 100644
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diff --git a/tex/lecture_3.tex b/tex/lecture_3.tex
index 4a57f19..565f8c4 100644
--- a/tex/lecture_3.tex
+++ b/tex/lecture_3.tex
@@ -293,7 +293,7 @@
 
 			\noindent \small General issues:\\
 			\begin{itemize}\scriptsize
-				\item\textbf{Representativeness}: Does the number of rows of data for each group match real demographic distributions? If no, often reults in differential validity/quality of service.
+				\item\textbf{Representativeness}: Does the number of rows of data for each group match real demographic distributions? If no, often results in differential validity/quality of service.
 				\item \textbf{Distribution of outcomes}: Are favorable outcomes ($y$ values) distributed equally across demographic groups? If no, often results in misallocation of resources/disparate impact. 
 				\item \textbf{Proxies}: Do seemingly neutral features actually encode systemic bias? If yes, often results in misallocation of resources/disparate impact.   			
 			\end{itemize}