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Sort the following data into classes and complete the frequency table.

[tex]\[
\left\{
\begin{array}{c}
57, 45, 53, 34, 54 \\
47, 41, 42, 43, 51 \\
46, 40, 35, 30, 44 \\
38, 37
\end{array}
\right\}
\][/tex]

\begin{tabular}{|l|l|}
\hline
Class Interval & Frequency \\
\hline
[tex]$30-39$[/tex] & \\
\hline
[tex]$40-49$[/tex] & \\
\hline
[tex]$50-59$[/tex] & \\
\hline
\end{tabular}



Answer :

GinnyAnswer
Let's sort the given data into the specified class intervals and complete the frequency table.

The given data is:
[tex]\[ 57, 45, 53, 34, 54, 47, 41, 42, 43, 51, 46, 40, 35, 30, 44, 38, 37 \][/tex]

We have the following class intervals:
- 30-39
- 40-49
- 50-59

### Step-by-Step Sorting

#### Class Interval 30-39
We will look for numbers between 30 and 39 inclusive. The numbers from the given data that fall within this interval are:
[tex]\[ 34, 35, 30, 38, 37 \][/tex]

So, the frequency for the interval 30-39 is 5.

#### Class Interval 40-49
Next, we will look for numbers between 40 and 49 inclusive. The numbers from the given data that fall within this interval are:
[tex]\[ 45, 47, 41, 42, 43, 46, 40, 44 \][/tex]

So, the frequency for the interval 40-49 is 8.

#### Class Interval 50-59
Finally, we will look for numbers between 50 and 59 inclusive. The numbers from the given data that fall within this interval are:
[tex]\[ 57, 53, 54, 51 \][/tex]

So, the frequency for the interval 50-59 is 4.

### Completed Frequency Table

[tex]\[ \begin{tabular}{|l|l|} \hline Class interval & Frequency \\ \hline $30-39$ & 5 \\ \hline $40-49$ & 8 \\ \hline $50-59$ & 4 \\ \hline \end{tabular} \][/tex]

Thus, the frequency table for the given data is:

[tex]\[ \begin{tabular}{|l|l|} \hline Class interval & Frequency \\ \hline $30-39$ & 5 \\ \hline $40-49$ & 8 \\ \hline $50-59$ & 4 \\ \hline \end{tabular} \][/tex]

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