To determine the relative frequency for the second class as a simplified fraction, we need to calculate the ratio of the frequency for the second class to the total frequency of all classes.

Step 1: Calculate the Total Frequency

The frequencies for each class are:

• 5 (for 5–12 hours)
• 3 (for 13–20 hours)
• 4 (for 21–28 hours)
• 13 (for 29–36 hours)
• 12 (for 37–44 hours)

The total frequency is: $5 + 3 + 4 + 13 + 12 = 37$

Step 2: Calculate the Relative Frequency for the Second Class

The frequency for the second class (13–20 hours) is 3. So, the relative frequency for the second class is: $\frac{3}{37}$

This fraction is already in its simplest form because 3 and 37 have no common factors other than 1.

Final Answer

The relative frequency for the second class (13–20 hours) is: $\frac{3}{37}$

Would you like further details, or do you have any questions about this solution?

Here are five related questions that can expand on this information:

1. How do you calculate the relative frequency for other classes in this table?
2. What does the relative frequency tell us about the data in this context?
3. How would you convert the relative frequency into a percentage?
4. What if we wanted to find the cumulative frequency for these classes?
5. How would you visualize this data in a bar chart or pie chart?

Tip: When dealing with frequency tables, always double-check the total frequency to ensure accurate relative frequency calculations.