To find the relative frequency for the class with the lower class limit of 19, we will follow these steps:
1. Determine the total number of students:
Add the number of students in each age group to get the total number of students.
[tex]\[
\text{Total students} = 2 + 2 + 5 + 8 + 10 + 6 = 33
\][/tex]
2. Identify the number of students in the age group 19-22:
According to the given data table, there are 2 students in the 19-22 age group.
3. Calculate the relative frequency for the age group 19-22:
The formula for relative frequency is given by:
[tex]\[
\text{Relative Frequency} = \left( \frac{\text{Number of students in the age group}}{\text{Total number of students}} \right) \times 100
\][/tex]
Substituting the numbers:
[tex]\[
\text{Relative Frequency} = \left( \frac{2}{33} \right) \times 100
\][/tex]
4. Compute and round the result to one decimal place:
[tex]\[
\left( \frac{2}{33} \right) \times 100 \approx 6.0606060606060606 \rightarrow 6.1 \, (\text{rounded to one decimal place})
\][/tex]
Thus, the relative frequency for the class with the lower class limit of 19 is:
[tex]\[
\boxed{6.1} \%
\][/tex]
