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The following data describes the percentage of satisfied customers at Joe's Used Cars. Complete the frequency table for this data:

[tex]
\[ 88.0, 92.4, 92.0, 94.9, 94.8, 86.5, 84.2, 93.7, 86.9, 89.3, 97.7, 95.8, 90.3, 98.0, 92.9, 94.5, 85.5, 97.8 \]
[/tex]

Determine the frequency of each class in the table shown.

[tex]
\[
\begin{tabular}{|c|c|}
\hline
\multicolumn{2}{|c|}{\begin{tabular}{c}
Percentage of Satisfied \\
Customers at Joe's Used Cars
\end{tabular}} \\
\hline
Class & Frequency \\
\hline
$84.0-86.9$ & $\square$ \\
\hline
$87.0-89.9$ & $\square$ \\
\hline
$90.0-92.9$ & $\square$ \\
\hline
$93.0-95.9$ & $\square$ \\
\hline
$96.0-98.9$ & $\square$ \\
\hline
\end{tabular}
\]
[/tex]

Answer :

To complete the frequency table for the given data set about the percentage of satisfied customers at Joe's Used Cars, follow these steps:

1. Identify the Class Intervals: The class intervals provided are:
- 84.0 - 86.9
- 87.0 - 89.9
- 90.0 - 92.9
- 93.0 - 95.9
- 96.0 - 98.9

2. List the Data Points: The data points to be sorted into these classes are:
- 88.0, 92.4, 92.0, 94.9, 94.8, 86.5, 84.2, 93.7, 86.9, 89.3, 97.7, 95.8, 90.3, 98.0, 92.9, 94.5, 85.5, 97.8

3. Assign Frequencies:
- Class 84.0 - 86.9:
- The numbers in this range are: 86.5, 84.2, 86.9, and 85.5.
- Frequency = 4

- Class 87.0 - 89.9:
- The numbers in this range are: 88.0 and 89.3.
- Frequency = 2

- Class 90.0 - 92.9:
- The numbers in this range are: 92.4, 92.0, 90.3, and 92.9.
- Frequency = 4

- Class 93.0 - 95.9:
- The numbers in this range are: 94.9, 94.8, 93.7, 95.8, and 94.5.
- Frequency = 5

- Class 96.0 - 98.9:
- The numbers in this range are: 97.7, 98.0, and 97.8.
- Frequency = 3

4. Create the Frequency Table:
- For each class, fill in the frequency based on the counts above.

[tex]\[
\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{\text{Percentage of Satisfied Customers at Joe's Used Cars}} \\
\hline \text{Class} & \text{Frequency} \\
\hline 84.0-86.9 & 4 \\
\hline 87.0-89.9 & 2 \\
\hline 90.0-92.9 & 4 \\
\hline 93.0-95.9 & 5 \\
\hline 96.0-98.9 & 3 \\
\hline
\end{tabular}
\][/tex]

By following these steps, you can determine the frequency for each given class interval.

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