Let's complete the missing parts of the frequency table step by step, beginning with the given information and continuing through each required calculation.

Step 1: Calculate the Frequency of Each Grade

From the provided grades, we already have:

• A: 4 occurrences
• B: 7 occurrences
• C: 9 occurrences
• D: 2 occurrences (from the grade list: two D's)
• F: 2 occurrences (from the grade list: two F's)

Step 2: Calculate Total Number of Grades

The total number of grades is the sum of the frequencies: $4 \, (\text{A}) + 7 \, (\text{B}) + 9 \, (\text{C}) + 2 \, (\text{D}) + 2 \, (\text{F}) = 24$

Step 3: Calculate the Relative Frequency for Each Grade

The relative frequency is calculated by dividing the frequency of each grade by the total number of grades (24) and multiplying by 100 to convert to a percentage.

• A: $\frac{4}{24} \times 100 = 16.7\%$
• B: $\frac{7}{24} \times 100 = 29.2\%$
• C: $\frac{9}{24} \times 100 = 37.5\%$
• D: $\frac{2}{24} \times 100 = 8.3\%$
• F: $\frac{2}{24} \times 100 = 8.3\%$

Step 4: Calculate the Cumulative Frequency for Each Grade

Cumulative frequency is the running total of frequencies as you move down the table.

• A: 4
• B: 4 (A) + 7 (B) = 11
• C: 11 (A + B) + 9 (C) = 20
• D: 20 (A + B + C) + 2 (D) = 22
• F: 22 (A + B + C + D) + 2 (F) = 24

Completed Frequency Table

Grade	Frequency	Relative Frequency (%)	Cumulative Frequency
A	4	16.7%	4
B	7	29.2%	11
C	9	37.5%	20
D	2	8.3%	22
F	2	8.3%	24

This completes the frequency table.

Would you like further explanation or clarification?

Additional Questions:

1. What is the significance of the cumulative frequency in this context?
2. How does relative frequency differ from absolute frequency?
3. How would the table change if there were more grades or categories?
4. What does the distribution of grades tell us about the performance of the class?
5. How would you calculate the mean grade from this frequency table?

Tip:

Cumulative frequency helps visualize how data accumulates across categories and can be useful for percentile calculations.