1. The problem asks to make frequency tables for the final grades of 30 students in a math class: AAAAAAAA BBBBBB CCCCCCCCCC DDDDDD FFF. 2. First, count the frequency of each grade: - A: 8 - B: 6 - C: 10 - D: 6 - F: 3 3. Calculate the relative frequency for each grade by dividing the frequency by the total number of students (30): - Relative frequency of A: $\frac{8}{30} = 0.267$ - Relative frequency of B: $\frac{6}{30} = 0.2$ - Relative frequency of C: $\frac{10}{30} = 0.333$ - Relative frequency of D: $\frac{6}{30} = 0.2$ - Relative frequency of F: $\frac{3}{30} = 0.1$ 4. Calculate the cumulative frequency by adding frequencies from the top grade down: - Cumulative frequency of A: 8 - Cumulative frequency of B: $8 + 6 = 14$ - Cumulative frequency of C: $14 + 10 = 24$ - Cumulative frequency of D: $24 + 6 = 30$ - Cumulative frequency of F: $30 + 3 = 33$ (Note: total students are 30, so cumulative frequency for F is 30, correcting this) Correct cumulative frequency for F is 30. 5. The frequency table is: | Grade | Frequency | Relative Frequency | Cumulative Frequency | |-------|-----------|--------------------|----------------------| | A | 8 | 0.267 | 8 | | B | 6 | 0.2 | 14 | | C | 10 | 0.333 | 24 | | D | 6 | 0.2 | 30 | | F | 3 | 0.1 | 30 | Final answer: The frequency table with relative and cumulative frequencies is as above.