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%TCIDATA{<META NAME="Title" CONTENT="Statistics">}
%TCIDATA{Created=Mon Aug 19 14:52:24 1996}
%TCIDATA{LastRevised=Thu Mar 27 14:42:02 1997}
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\input{tcilatex}
\begin{document}


\subsection{Statistics\label{Statistics}\hrulefill}

Basic and advanced statistical computations are available in \textit{%
Scientific Notebook.}

\subparagraph{\FRAME{itbpF}{50.75pt}{21.75pt}{6pt}{}{}{ex3.wmf}{\special%
{language "Scientific Word";type "GRAPHIC";display "PICT";valid-file
"F";width 50.75pt;height 21.75pt;depth 6pt;original-width
48.875pt;original-height 19.5625pt;cropleft "0";croptop "1";cropright
"1";cropbottom "0";filename 'ex3.WMF';file-properties "XNPEU";}}Find the
modes of $1,1,3,4,4,4,5,3,8,1,9,5,2$}

\begin{enumerate}
\item  Click\FRAME{itbpF}{20.125pt}{20.125pt}{2pt}{}{}{text.wmf}{\special%
{language "Scientific Word";type "GRAPHIC";maintain-aspect-ratio
TRUE;display "PICT";valid_file "F";width 20.125pt;height 20.125pt;depth
2pt;original-width 16.0625pt;original-height 16.0625pt;cropleft "0";croptop
"1";cropright "1";cropbottom "0";filename 'text.wmf';file-properties
"XNPEU";}}or, from the Insert menu, choose Math to start mathematics.

\item  Type \textbf{1},\textbf{\ 1}, \textbf{3}, \textbf{4}, \textbf{4}, 
\textbf{4}, \textbf{5}, \textbf{3}, \textbf{8}, \textbf{1}, \textbf{9}, 
\textbf{5}, \textbf{2}, separated by commas.

\item  From the Maple menu, choose Statistics and then choose Mode to obtain
modes of $1,4$.\medskip 
\end{enumerate}

\subparagraph{\FRAME{itbpF}{50.75pt}{21.75pt}{6pt}{}{}{ex3.wmf}{\special%
{language "Scientific Word";type "GRAPHIC";display "PICT";valid-file
"F";width 50.75pt;height 21.75pt;depth 6pt;original-width
48.875pt;original-height 19.5625pt;cropleft "0";croptop "1";cropright
"1";cropbottom "0";filename 'ex3.WMF';file-properties "XNPEU";}}Find the
medians of \ $\left[ 
\begin{array}{ll}
1.5 & 6.7 \\ 
3.9 & 2.2 \\ 
5.5 & 4.3
\end{array}
\right] $}

\begin{enumerate}
\item  Click\FRAME{itbpF}{22.4375pt}{21.0625pt}{2pt}{}{}{sqbrack.wmf}{%
\special{language "Scientific Word";type "GRAPHIC";display "PICT";valid_file
"F";width 22.4375pt;height 21.0625pt;depth 2pt;original-width
20.3125pt;original-height 18.8125pt;cropleft "0";croptop "1";cropright
"1";cropbottom "0";filename 'Sqbrack.wmf';file-properties "XNPEU";}}, and
then from the Insert menu, choose Matrix and specify 3 rows and 2 columns.

\item  Fill the matrix with the values \textbf{1.5}, \textbf{6.7}, \textbf{%
3.9},\textbf{\ 2.2}, \textbf{5.5}, and \textbf{4.3. }Tab to move from cell
to cell.

\item  From the Maple menu, choose Statistics and then choose Median. Maple
returns this result: \medskip 
\[
\fbox{$\rule[-0.25in]{0in}{0.6in}\left[ 
\begin{array}{ll}
1.5 & 6.7 \\ 
3.9 & 2.2 \\ 
5.5 & 4.3
\end{array}
\right] $, Median(s): $\left[ 3.\,9,4.\,3\right] $}
\]
\medskip 
\end{enumerate}

\subparagraph{\FRAME{itbpF}{50.75pt}{21.75pt}{6pt}{}{}{ex3.wmf}{\special%
{language "Scientific Word";type "GRAPHIC";display "PICT";valid-file
"F";width 50.75pt;height 21.75pt;depth 6pt;original-width
48.875pt;original-height 19.5625pt;cropleft "0";croptop "1";cropright
"1";cropbottom "0";filename 'ex3.WMF';file-properties "XNPEU";}}Find the
standard deviation of $2.5,6.8,3.5,1.9,2.3,4.5$}

\begin{enumerate}
\item  Click\FRAME{itbpF}{20.125pt}{20.125pt}{2pt}{}{}{text.wmf}{\special%
{language "Scientific Word";type "GRAPHIC";maintain-aspect-ratio
TRUE;display "PICT";valid_file "F";width 20.125pt;height 20.125pt;depth
2pt;original-width 16.0625pt;original-height 16.0625pt;cropleft "0";croptop
"1";cropright "1";cropbottom "0";filename 'text.wmf';file-properties
"XNPEU";}}or, from the Insert menu, choose Math to start mathematics.

\item  Enter the numbers \textbf{2.5}, \textbf{6.8}, \textbf{3.5},\textbf{\
1.9}, \textbf{2.3}, and \textbf{4.5}, separated by commas.

\item  From the Maple menu, choose Statistics and then choose Standard
Deviation. Maple computes a standard deviation of $1.\,8357.$\medskip 
\end{enumerate}

\subparagraph{Compute these statistics\textit{\label{exercises}}}

\begin{quotation}
\rule{0in}{0.3in}\qquad Find the mean of these values: $\qquad 1,2,3,4$%
\hspace{0.75in}$\left[ 
\begin{array}{ll}
1.5 & 6.7 \\ 
3.9 & 2.2
\end{array}
\right] $\medskip 

\qquad Find the moment of these values:

$\qquad \qquad 2.5,-6.8,3.5,-1.9,-2.3,4.5$ when the origin for moment 1 is
set to About 1\medskip 

$\qquad \qquad 2.5,-6.8,3.5,-1.9,-2.3,4.5$ when the origin for moment 2 is
set to About Mean\medskip 

\qquad Find the variance of $2.5,6.8,3.5,1.9,2.3,4.5.\medskip $

\qquad Find the mean deviation of \ $2.5,6.8,3.5,1.9,2.3,4.5.\medskip $

\qquad Using multiple regression, fit a curve to these points\ (dependent
variable in column 2): $\left[ 
\begin{array}{ll}
x & y \\ 
1 & 2 \\ 
2 & 4 \\ 
3 & 7
\end{array}
\right] $.
\end{quotation}

\end{document}
