Problem

A professor had students keep track of their social interactions for a week. The number of social interactions over the week is shown in the following grouped frequency distribution. What is the class width?
\begin{tabular}{|c|c|}
\hline \begin{tabular}{c}
Number of Social \\
Interactions
\end{tabular} & Frequencies \\
\hline $25-31$ & 5 \\
\hline $32-38$ & 14 \\
\hline $39-45$ & 13 \\
\hline $46-52$ & 19 \\
\hline $53-59$ & 16 \\
\hline $60-66$ & 12 \\
\hline $67-73$ & 3 \\
\hline $74-80$ & 4 \\
\hline $81-87$ & 1 \\
\hline $88-94$ & 4 \\
\hline
\end{tabular}

Answer

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Answer

So, the class width is \(\boxed{6}\)

Steps

Step 1 :The class width in a frequency distribution table is the difference between the upper and lower boundaries of any class or group.

Step 2 :In this case, we can calculate the class width by subtracting the lower limit of a class from the upper limit of the same class.

Step 3 :Let's take the first class as an example. The upper limit is 31 and the lower limit is 25.

Step 4 :Subtract the lower limit from the upper limit: \(31 - 25 = 6\)

Step 5 :So, the class width is \(\boxed{6}\)

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