To solve this problem, we'll start by organizing the grades in a frequency table and then compute the relative frequency and cumulative frequency.

Step 1: Frequency Count

Here’s the list of grades provided:

• A: 3 occurrences
• B: 8 occurrences
• C: 9 occurrences
• D: 4 occurrences
• F: 1 occurrence

Step 2: Total Number of Grades

Adding up all the occurrences, we get: $3 + 8 + 9 + 4 + 1 = 25$

So, the total number of grades is 25.

Step 3: Calculating Relative Frequency

The relative frequency for each grade is calculated as: $\text{Relative Frequency} = \frac{\text{Frequency}}{\text{Total Number of Grades}} \times 100$

We'll round each relative frequency to the nearest tenth as needed.

Step 4: Calculating Cumulative Frequency

The cumulative frequency is the running total of frequencies, starting from the top of the table.

Now, let's construct the full table:

Completed Table

Final Answer for Part 2

The row for grade C:

• Frequency: 9
• Relative Frequency: 36.0%
• Cumulative Frequency: 20

Would you like further clarification on these calculations?

5 Practice Questions

1. How do you calculate the cumulative frequency in a frequency table?
2. What is the purpose of relative frequency in a dataset?
3. How would the table change if there were an additional "A" grade?
4. Why might a professor use a frequency table to analyze student grades?
5. How can you interpret the cumulative frequency of each grade?

Quick Tip

Remember that cumulative frequency is simply the running total of occurrences, helping to show the buildup across different categories or groups.