Certainly! Let's solve the problem step by step:
1. Determine the Total Number of Students:
We need to sum up the number of students in each age group to find the total number of students.
[tex]\[
5 + 5 + 5 + 4 + 3 + 5 = 27
\][/tex]
So, the total number of students is 27.
2. Find the Number of Students in the Age Group 27-30:
According to the table, the number of students in the 27-30 age group is 4.
3. Calculate the Relative Frequency:
The relative frequency of an age group is the number of students in that age group divided by the total number of students, multiplied by 100 to get the percentage.
[tex]\[
\text{Relative Frequency} = \left( \frac{\text{Number of students in age group 27-30}}{\text{Total number of students}} \right) \times 100
\][/tex]
Plugging in the values:
[tex]\[
\text{Relative Frequency} = \left( \frac{4}{27} \right) \times 100
\][/tex]
4. Compute the Result:
Performing the division and multiplication gives:
[tex]\[
\left( \frac{4}{27} \right) \times 100 = 14.81\%
\][/tex]
So, the relative frequency for the class with lower class limit 27 is:
[tex]\[
\boxed{14.81 \%}
\][/tex]
