1. The problem involves understanding and interpreting four two-way tables representing different categorical data. 2. A two-way table displays frequencies for two categorical variables, allowing us to analyze relationships between them. 3. For the fish catch table, Location (Near Shore, Far from Shore) is compared against fish types (Bangus, Tilapia) with totals: | Location | Bangus | Tilapia | Total | |----------------|--------|---------|-------| | Near Shore | 12 | 8 | 20 | | Far from Shore | 18 | 12 | 30 | | Total | 30 | 20 | 50 | 4. For the age group table, Age Group (12-14, 15-17) is compared against Gender (Male, Female) with totals: | Age Group | Male | Female | Total | |-----------|------|--------|-------| | 12-14 | 15 | 25 | 40 | | 15-17 | 20 | 10 | 30 | | Total | 35 | 35 | 70 | 5. For the Barangay table, Barangay (Tanza 1, Tanza 2) is compared against Game Results (Won, Lost) with totals: | Barangay | Won | Lost | Total | |----------|-----|------|-------| | Tanza 1 | 8 | 2 | 10 | | Tanza 2 | 6 | 4 | 10 | | Total | 14 | 6 | 20 | 6. For the Volunteer Type table, Volunteer Type (Student, Non-Student) is compared against Waste Type (Plastic Waste, Other Waste) with totals: | Volunteer Type | Plastic Waste | Other Waste | Total | |----------------|---------------|-------------|-------| | Student | 25 | 15 | 40 | | Non-Student | 20 | 10 | 30 | | Total | 45 | 25 | 70 | 7. These tables help summarize categorical data and can be used to calculate probabilities, percentages, or to visualize data relationships. No algebraic or graphical functions are requested here, so the desmos field is minimal.