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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. Identify the lower limit of the tenth class.
\begin{tabular}{|c|c|}
\hline \begin{tabular}{c}
Number of Social \\
Interactions
\end{tabular} & Frequency \\
\hline $25-29$ & 12 \\
\hline $30-34$ & 13 \\
\hline $35-39$ & 10 \\
\hline $40-44$ & 19 \\
\hline $45-49$ & 11 \\
\hline $50-54$ & 12 \\
\hline $55-59$ & 3 \\
\hline $60-64$ & 3 \\
\hline $65-69$ & 0 \\
\hline $70-74$ & 3 \\
\hline
\end{tabular}
Answer
Final Answer: The lower limit of the tenth class is \( \boxed{70} \).
Step 1 ：The question is asking for the lower limit of the tenth class in the given frequency distribution.
Step 2 ：The classes are given in the first column of the table.
Step 3 ：The tenth class is the tenth row in the table.
Step 4 ：The lower limit of a class in a frequency distribution is the smallest value that can fall into that class.
Step 5 ：In this case, the classes are ranges of numbers, so the lower limit is the smaller number in the range.
Step 6 ：Final Answer: The lower limit of the tenth class is \( \boxed{70} \).
