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.) %
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.) %
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.1: Stem-and-leaf Plots And Histograms
Problem 5E
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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 |](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4cbada35-3122-4a6c-a25c-246bca0ae236%2Fa8ec40ec-93f1-43ef-a638-6d8d071dd945%2F6jcp3f_processed.jpeg&w=3840&q=75)
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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