A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 2, 14, 15, 8, and 3 respectively. Using percentages, wha are the relative frequencies of the five classes? Complete the table. Grade Frequency Relative frequency A 2 % B 14 % C 15 D 8 % F 3 % (Round to two decimal places as needed.) %

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### Relative Frequencies of Grade Classes

A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 2, 14, 15, 8, and 3 respectively. Using percentages, what are the relative frequencies of the five classes?

**Complete the table below:**

| Grade | Frequency | Relative Frequency (%) |
|-------|-----------|------------------------|
| A     | 2         |                        |
| B     | 14        |                        |
| C     | 15        |                        |
| D     | 8         |                        |
| F     | 3         |                        |

*(Round to two decimal places as needed.)*

### Instructions to Calculate Relative Frequency:
1. **Determine the Total Frequency:** Add the frequencies of all the classes.
   
   \[
   \text{Total Frequency} = 2 + 14 + 15 + 8 + 3 = 42
   \]
   
2. **Calculate the Relative Frequency for Each Class:**
   
   - For Grade A:
     \[
     \frac{2}{42} \times 100 = 4.76\%
     \]
   
   - For Grade B:
     \[
     \frac{14}{42} \times 100 = 33.33\%
     \]
   
   - For Grade C:
     \[
     \frac{15}{42} \times 100 = 35.71\%
     \]
   
   - For Grade D:
     \[
     \frac{8}{42} \times 100 = 19.05\%
     \]

   - For Grade F:
     \[
     \frac{3}{42} \times 100 = 7.14\%
     \]

Update the table with the calculated relative frequencies:

| Grade | Frequency | Relative Frequency (%) |
|-------|-----------|------------------------|
| A     | 2         | 4.76                   |
| B     | 14        | 33.33                  |
| C     | 15        | 35.71                  |
| D     | 8         | 19.05                  |
| F     | 3         | 7.14                   |
Transcribed Image Text:### Relative Frequencies of Grade Classes A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 2, 14, 15, 8, and 3 respectively. Using percentages, what are the relative frequencies of the five classes? **Complete the table below:** | Grade | Frequency | Relative Frequency (%) | |-------|-----------|------------------------| | A | 2 | | | B | 14 | | | C | 15 | | | D | 8 | | | F | 3 | | *(Round to two decimal places as needed.)* ### Instructions to Calculate Relative Frequency: 1. **Determine the Total Frequency:** Add the frequencies of all the classes. \[ \text{Total Frequency} = 2 + 14 + 15 + 8 + 3 = 42 \] 2. **Calculate the Relative Frequency for Each Class:** - For Grade A: \[ \frac{2}{42} \times 100 = 4.76\% \] - For Grade B: \[ \frac{14}{42} \times 100 = 33.33\% \] - For Grade C: \[ \frac{15}{42} \times 100 = 35.71\% \] - For Grade D: \[ \frac{8}{42} \times 100 = 19.05\% \] - For Grade F: \[ \frac{3}{42} \times 100 = 7.14\% \] Update the table with the calculated relative frequencies: | Grade | Frequency | Relative Frequency (%) | |-------|-----------|------------------------| | A | 2 | 4.76 | | B | 14 | 33.33 | | C | 15 | 35.71 | | D | 8 | 19.05 | | F | 3 | 7.14 |
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