\setcounter{ExampleCounter}{1}
Frequency tables simply count how many times each data value occurs and list this count.

\subsection{Qualitative Data}
\begin{example}{Student Grades}
Suppose a group of students earned the following final grades:
\begin{center}
B, C, A, B, B, D, C, C, C, F, A, C, B, B, B, C, B, D
\end{center}

The frequency table for this data would look like the following.
\begin{center}
\begin{tabular}{c c c}
Grade & Frequency\\
\hline
A & \\
B & \\
C & \\
D & \\
F & 
\end{tabular}
\end{center}

\paragraph{Relative Frequency:} The proportion of the whole group that is in each category.
\begin{center}
\begin{tabular}{c c c}
Grade & Frequency & Relative Frequency\\
\hline
& & \\
A & & \\
& & \\
B & & \\
& & \\
C & & \\
& & \\
D & & \\
& & \\
F & & 
\end{tabular}
\end{center}
\end{example}
\vfill
\pagebreak

\subsection{Quantitative Data}
\begin{example}{iPads Sold}
A store tracked how many iPads were sold each day for fifty days, and their data is below.
\begin{center}
\begin{tabular}{c c c c c c c c c c}
4 & 2 & 3 & 2 & 5 & 5 & 1 & 3 & 3 & 2\\
3 & 2 & 2 & 3 & 2 & 2 & 2 & 3 & 0 & 1\\
3 & 1 & 1 & 5 & 4 & 1 & 2 & 4 & 3 & 5\\
2 & 0 & 0 & 3 & 2 & 3 & 3 & 3 & 2 & 2\\
0 & 4 & 2 & 4 & 3 & 1 & 1 & 4 & 0 & 1
\end{tabular}
\end{center}

The frequency distribution looks like the following.
\begin{center}
\begin{tabular}{c c c}
Value & Frequency & Relative Frequency\\
\hline
0 & 5 & \\
& & \\
1 & 8 & \\
& & \\
2 & 14 & \\
& & \\
3 & 13 & \\
& & \\
4 & 6 & \\
& & \\
5 & 4 & 
\end{tabular}
\end{center}
\end{example}
\vspace{0.2in}

\begin{example}{Working Students}
Twenty students were asked how many hours they worked per day.  Their responses are as follows:
\begin{center}
5, \ 6,\ 3,\ 3,\ 2,\ 4,\ 7,\ 5,\ 2,\ 3,\ 5,\ 6,\ 5,\ 4,\ 4,\ 3,\ 5,\ 2,\ 5,\ 3
\end{center}

Construct a frequency table (including a relative frequency column) to organize this data.
\begin{center}
\begin{tabular}{c | c | c}
Hours Worked & Frequency & Relative Frequency\\
\hline
& & \\
& & \\
& & \\
& & \\
& & \\
& & \\
& & \\
& & \\
& & \\
\end{tabular}
\end{center}
\end{example}
\vfill
\pagebreak


\subsection{Grouped Frequency Tables}
Sometimes it could be inconvenient to have a separate row for each data value.  For instance, consider the following wait times on a customer service line (measured in minutes):
\begin{center}
\begin{tabular}{c c c c c c c c c c}
0.6 & 1.2 & 1.3 & 2.5 & 2.8 & 3.2 & 3.2 & 3.5 & 3.8 & 3.9\\
3.9 & 4.4 & 4.4 & 4.6 & 4.6 & 4.6 & 4.8 & 4.9 & 5.1 & 5.2\\
5.4 & 5.5 & 5.8 & 6.1 & 6.4 & 6.9 & 7.0 & 8.0 & 8.1 & 8.1\\
8.3 & 8.7 & 9.0 & 9.3 & 9.3 & 9.5 & 9.5 & 9.7 & 9.8 & 9.9\\
10.2 & 10.5 & 10.9 & 12.2 & 12.5 & 13.1 & 13.3 & 13.6 & 14.4 & 17.4
\end{tabular}
\end{center}

If we had a separate category for each time, there would be a bunch of categories with a frequency of 1 or 2.  Instead, we'll construct a \textbf{grouped frequency table}:
\vspace{0.2in}

\begin{itemize}
\item \text{}
\vspace{0.6in}

\item \text{}
\vspace{0.6in}

\item \text{}
\vspace{0.6in}

\item \text{}
\vspace{0.6in}

\item \text{}
\vspace{0.6in}

\end{itemize}
\vfill
\pagebreak

\begin{example}{Customer Service Wait Times}
Construct a grouped frequency table for the data above, using a class width of 3 minutes.

\begin{center}
\begin{tabular}{c | c | c}
Number of Minutes & Frequency & Relative Frequency\\
\hline
& & \\
& & \\
& & \\
& & \\
& & \\
& & \\
& & \\
& & \\
& & \\
& & \\
& & \\
& & \\
& & \\
& & \\
& & \\
& & \\
& & \\
\end{tabular}
\end{center}
\end{example}