1. **Problem:** Complete the two-way frequency table for after-school activity attendance by gender. Given: - Male Yes = 27, Male No = 10, Male Total = 37 - Female Total = 33 - Overall Total = 75 2. **Step 1:** Find Female Yes + Female No = Female Total = 33. 3. **Step 2:** Find total Yes and No from overall totals. Since Total = 75 and Male Total = 37, Female Total = 33 (given), so check consistency: 37 + 33 = 70, but total is 75, so there is a discrepancy. Assuming Female Total is 38 (75 - 37) to match total 75. 4. **Step 3:** Calculate total Yes and No. Total Yes = Male Yes + Female Yes Total No = Male No + Female No 5. **Step 4:** Since total Yes + total No = total students = 75, and Male Yes + Male No = 27 + 10 = 37, then Female Yes + Female No = 75 - 37 = 38. 6. **Step 5:** Female Total is 38 (corrected). Given Female Total = 33 in problem, but total 75 implies 38. We proceed with 38. 7. **Step 6:** To find Female Yes and Female No, use total Yes and No. Assuming total Yes and No are unknown, but total Yes = total No = ? 8. **Step 7:** Since total Yes + total No = 75, and Male Yes + Male No = 37, Female Yes + Female No = 38. 9. **Step 8:** Without more data, cannot determine Female Yes and Female No exactly. **Final Table:** | After-school Activity | Yes | No | Total | |----------------------|-----|----|-------| | Male | 27 | 10 | 37 | | Female | ? | ? | 38 | | Total | ? | ? | 75 |