A professor records the following final grades in one course. Construct a frequency table for the grades.

A

A

A

Upper BB

Upper BB

B

B

B

B

B

B

C
 
C

C

C

C

C

C

Upper CC

Upper DD

D

D

Upper DD

Upper FF

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Part 1

Complete the table.

​(Type an integer or decimal rounded to the nearest tenth as​ needed.)

Grade

Frequency

Relative frequency

Cumulative frequency

A

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To construct the frequency table for the grades provided, we first need to tally the occurrences of each grade, then calculate the relative and cumulative frequencies.

### Step 1: Count the Frequencies

- **A**: 3
- **Upper BB**: 2
- **B**: 6
- **C**: 7
- **Upper CC**: 1
- **Upper DD**: 3
- **D**: 2
- **Upper FF**: 1

### Step 2: Total Count of Grades

Total grades = 3 (A) + 2 (Upper BB) + 6 (B) + 7 (C) + 1 (Upper CC) + 3 (Upper DD) + 2 (D) + 1 (Upper FF) = 25

### Step 3: Calculate Relative Frequencies

Relative Frequency = (Frequency / Total Grades) × 100

### Step 4: Cumulative Frequencies

Cumulative frequency is the sum of the frequencies up to and including that grade.

### Frequency Table

| Grade      | Frequency | Relative Frequency (%) | Cumulative Frequency |
|------------|-----------|------------------------|----------------------|
| A          | 3         | 12.0                   | 3                    |
| Upper BB   | 2         | 8.0                    | 5                    |
| B          | 6         | 24.0                   | 11                   |
| C          | 7         | 28.0                   | 18                   |
| Upper CC   | 1         | 4.0                    | 19                   |
| Upper DD   | 3         | 12.0                   | 22                   |
| D          | 2         | 8.0                    | 24                   |
| Upper FF   | 1         | 4.0                    | 25                   |

### Summary

- Total Grades: 25
- The relative frequencies are rounded to the nearest tenth of a percent.

Would you like to delve deeper into any part of this analysis or have specific questions? Here are some related questions for further exploration:

1. How would you interpret the distribution of grades?
2. What percentage of students received grades lower than a B?
3. How might the grading distribution affect overall course assessments?
4. What statistical measures could be applied to further analyze this data?
5. How can this frequency table assist in understanding student performance? 

**Tip:** When constructing frequency tables, ensure to double-check your counts and calculations for accuracy.

A professor records the following final grades in one course. Construct a frequency table for the grades.

A

A

A

Upper BB

Upper BB

B

B

B

B

B

B

C
 
C

C

C

C

C

C

Upper CC

Upper DD

D

D

Upper DD

Upper FF

Complete the table. (Type an integer or decimal rounded to the nearest tenth as needed.)

Grade

Frequency

Relative frequency

Cumulative frequency

A

enter your response here

enter your response here%

enter your response here

Learn how to construct a frequency table for course grades, including frequency, relative frequency, and cumulative frequency calculations. This example includes detailed steps to tally occurrences, calculate relative percentages, and track cumulative frequencies. Ideal for high school statistics students.

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