To calculate the relative frequency for the class with the lower class limit of 27 (which corresponds to the age group 27-30), you can use the following steps:

Step 1: Calculate the total number of students.

Add up the number of students in all age groups:

$\text{Total number of students} = 3 + 7 + 2 + 5 + 2 + 4 = 23$

Step 2: Determine the number of students in the age group 27-30.

From the table, the number of students in the age group 27-30 is 5.

Step 3: Calculate the relative frequency.

Relative frequency is calculated as:

$\text{Relative Frequency} = \left(\frac{\text{Number of students in the age group}}{\text{Total number of students}}\right) \times 100\%$

Substitute the values:

$\text{Relative Frequency} = \left(\frac{5}{23}\right) \times 100\% \approx 21.7\%$

So, the relative frequency for the class with the lower class limit 27 is 21.7%.

Would you like more details or have any questions? Here are five related questions:

1. How do you find the relative frequency for a different class interval?
2. What is the cumulative frequency for the age group 27-30?
3. How would you create a frequency distribution table from raw data?
4. What is the percentage of students in the 19-22 age group?
5. How do you interpret relative frequency in the context of data analysis?

Tip: Relative frequency helps in understanding the proportion of occurrences in a dataset, making it easier to compare different groups.