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To solve this problem, we need to calculate the relative frequencies for each class. Relative frequency is calculated by dividing the frequency of each class by the total frequency and then converting that fraction to a percentage.

### Step 1: Determine the Total Frequency
The total frequency is the sum of all the individual frequencies.

\[
\text{Total Frequency} = 5 + 13 + 13 + 7 + 1 = 39
\]

### Step 2: Calculate the Relative Frequency for Each Class
Relative frequency for each class is calculated as follows:

\[
\text{Relative Frequency} = \left(\frac{\text{Frequency of Class}}{\text{Total Frequency}}\right) \times 100
\]

1. **Class A**:
   \[
   \text{Relative Frequency} = \left(\frac{5}{39}\right) \times 100 = 12.82\%
   \]
2. **Class B**:
   \[
   \text{Relative Frequency} = \left(\frac{13}{39}\right) \times 100 = 33.33\%
   \]
3. **Class C**:
   \[
   \text{Relative Frequency} = \left(\frac{13}{39}\right) \times 100 = 33.33\%
   \]
4. **Class D**:
   \[
   \text{Relative Frequency} = \left(\frac{7}{39}\right) \times 100 = 17.95\%
   \]
5. **Class F**:
   \[
   \text{Relative Frequency} = \left(\frac{1}{39}\right) \times 100 = 2.56\%
   \]

### Step 3: Enter the Relative Frequencies in the Table
So the completed table will be:

- **Class A**: 12.82%
- **Class B**: 33.33%
- **Class C**: 33.33%
- **Class D**: 17.95%
- **Class F**: 2.56%

Would you like more details on how these calculations were done, or do you have any other questions?

### Related Questions:
1. How do you calculate cumulative frequency?
2. What is the difference between relative frequency and absolute frequency?
3. How would the relative frequency change if one of the frequencies were different?
4. Can relative frequencies be used to create a pie chart? How?
5. What is the importance of rounding in calculating percentages?

**Tip:** Always double-check your calculations, especially when working with percentages and rounding, to avoid errors in the final result.

A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 5, 13, 13, 7, and 1 respectively. Using percentages, what are the relative frequencies of the five classes?

Learn how to calculate the relative frequencies for a grade distribution table with classes A, B, C, D, and F. This problem covers key statistical concepts, including calculating relative frequencies and converting them into percentages. Suitable for high school students.

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