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\title{Stat 185 -Quiz 2\\
\large Friday, Sept 15}
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Name:\underline{\hspace{2.2in}}
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\noindent Feel free to write your answer to number 3 as labels on the reverse. 
Please write complete solutions to numbers 1 and 2 on separate paper.


\begin{enumerate}
	\item Given the data set $\{-1,2,3,4\}$,
	\begin{enumerate}
		\item Write down a formula showing that the mean of the data set is $2$
		\item Write down a formula to compute the standard deviation of the data set.
	\end{enumerate}
	
	\item 127 teams played Division 1 college football in 2016. On average, those teams scored 29.8 points per game with a
	standard deviation of 6.8.
	\begin{enumerate}
		\item Assuming the data is well modeled by a normal distribution, approximately how many teams 
		scored more than 35 points a game?
		
		\item Figure \ref{fig:normal_prob_plot} shows a normal probability plot for the data. What, if anything, does this tell you 
		about your answer to part (a)?
	\end{enumerate}
	
	\item Figure \ref{fig:scattered_correlation} on the reverse shows several scatter plots. 
	Label those scatter plots with their correlation chosen from the following list:
	\begin{itemize}
		\item $-0.779$
		\item $-0.033$
		\item $0.54$
		\item $0.85$
	\end{itemize}

\end{enumerate}

\begin{figure}[htbp]
\begin{center}
\includegraphics*[height=2.5in]{normal_prob_plot.pdf}
\caption{A normal probability plot}
\label{fig:normal_prob_plot}
\end{center}
\end{figure}


\begin{figure}[htbp]
\begin{center}
\begin{tabular}{cc}
	\includegraphics*[width=3in]{cor-0033.pdf} & \includegraphics*[width=3in]{cor054.pdf} \\
	\includegraphics*[width=3in]{cor084981.pdf}  & \includegraphics*[width=3in]{cor-0779.pdf} 
\end{tabular}
\caption{Scatter plots to match with their correlations on the reverse}
\label{fig:scattered_correlation}
\end{center}
\end{figure}

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