\begin{tabular}{|c|c|}
\hline Ages & Number of students \\
\hline $15-18$ & 6 \\
\hline $19-22$ & 7 \\
\hline $23-26$ & 10 \\
\hline $27-30$ & 9 \\
\hline $31-34$ & 3 \\
\hline $35-38$ & 5 \\
\hline
\end{tabular}

Find the relative frequency for the class with lower class limit 23

Relative Frequency $=$ $\%$

Give your answer as a percent, rounded to two decimal places

Step 1 ：First, we need to calculate the total number of students. The total number of students is the sum of the number of students in each age group. In this case, the total number of students is \(6 + 7 + 10 + 9 + 3 + 5 = 40\).

Step 2 ：Next, we need to find the number of students in the age group 23-26. From the table, we can see that there are 10 students in this age group.

Step 3 ：Now, we can calculate the relative frequency for the class with lower class limit 23. The relative frequency is the ratio of the number of students in the age group 23-26 to the total number of students, multiplied by 100 to get the percentage. So, the relative frequency is \(\frac{10}{40} \times 100 = 25.0\%\).

Step 4 ：Final Answer: The relative frequency for the class with lower class limit 23 is \(\boxed{25.00\%}\).