QuestionHere are the hottest recorded temperatures (in ) for each of sixteen cities throughout North America.
\begin{tabular}{|c|c|c|c|c|c|c|c|}
\hline \multicolumn{7}{|c|}{ Temperatures } \\
in
\end{tabular}
Send data to calculator
(a) Complete the grouped frequency distribution for the data. (Note that the class width is 4. )
\begin{tabular}{|cc|}
\hline \begin{tabular}{c}
Temperatures \\
(in )
\end{tabular} & \begin{tabular}{c}
Frequency
\end{tabular} \\
\hline 92.5 to 96.5 & \\
96.5 to 100.5 & \\
100.5 to 104.5 & \\
104.5 to 108.5 & \\
108.5 to 112.5 & \\
\hline
\end{tabular}
(b) Using the classes from part (a), draw the frequency polygon for the data. Note that you can add or remove classes from the figure. Label each class with its midpoint.
Studdy Solution
STEP 1
1. The data set consists of sixteen temperature values: .
2. The class width for the grouped frequency distribution is 4.
3. The frequency polygon will use the midpoints of each class.
STEP 2
1. Organize the data into the given temperature classes.
2. Calculate the frequency for each class.
3. Determine the midpoint for each class.
4. Plot the frequency polygon using the midpoints and frequencies.
STEP 3
List the temperature values:
STEP 4
Organize the data into the given temperature classes:
- 92.5 to 96.5:
- 96.5 to 100.5:
- 100.5 to 104.5:
- 104.5 to 108.5:
- 108.5 to 112.5:
STEP 5
Calculate the frequency for each class:
- 92.5 to 96.5: 4
- 96.5 to 100.5: 3
- 100.5 to 104.5: 4
- 104.5 to 108.5: 1
- 108.5 to 112.5: 2
STEP 6
Determine the midpoint for each class:
- 92.5 to 96.5:
- 96.5 to 100.5:
- 100.5 to 104.5:
- 104.5 to 108.5:
- 108.5 to 112.5:
STEP 7
Plot the frequency polygon using the midpoints and frequencies:
- Plot points:
- Connect the points with straight lines to form the frequency polygon.
The grouped frequency distribution and frequency polygon are now complete.
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