1. **Stating the problem:** Calculate the average score for each student based on their Test and Exam scores. 2. **Formula used:** The total score is the sum of Test and Exam scores, and the average is calculated as $$\text{Average} = \frac{\text{Test} + \text{Exam}}{2}$$ since the total is out of 100 (Test 60 + Exam 40). 3. **Calculate averages for each row:** - For the first student: $$\frac{42 + 34}{2} = \frac{76}{2} = 38$$ - For the second student: $$\frac{56 + 40}{2} = \frac{96}{2} = 48$$ - For the third student: $$\frac{60 + 40}{2} = \frac{100}{2} = 50$$ - For the fourth student: $$\frac{52 + 28}{2} = \frac{80}{2} = 40$$ - For the fifth student: $$\frac{56 + 40}{2} = 48$$ - For the sixth student: $$\frac{48 + 36}{2} = 42$$ - For the seventh student: $$\frac{54 + 34}{2} = 44$$ - For the eighth student: $$\frac{56 + 32}{2} = 44$$ - For the ninth student: $$\frac{58 + 34}{2} = 46$$ - For the tenth student: $$\frac{54 + 38}{2} = 46$$ - For the eleventh student: $$\frac{50 + 34}{2} = 42$$ - For the twelfth student: $$\frac{50 + 38}{2} = 44$$ - For the thirteenth student: $$\frac{48 + 34}{2} = 41$$ - For the fourteenth student: $$\frac{60 + 36}{2} = 48$$ - For the fifteenth student: $$\frac{54 + 30}{2} = 42$$ - For the sixteenth student: $$\frac{60 + 36}{2} = 48$$ - For the seventeenth student: $$\frac{56 + 32}{2} = 44$$ - For the eighteenth student: $$\frac{56 + 20}{2} = 38$$ - For the nineteenth student: $$\frac{56 + 34}{2} = 45$$ - For the twentieth student: $$\frac{58 + 36}{2} = 47$$ - For the twenty-first student: $$\frac{58 + 10}{2} = 34$$ - For the twenty-second student: $$\frac{60 + 25}{2} = 42.5$$ 4. **Explanation:** We add the Test and Exam scores for each student and divide by 2 because the total maximum score is 100, split as 60 for Test and 40 for Exam. This gives the average score out of 50, which can be doubled or interpreted as the average of the two components. 5. **Final answer:** The average scores for each student are: 38, 48, 50, 40, 48, 42, 44, 44, 46, 46, 42, 44, 41, 48, 42, 48, 44, 38, 45, 47, 34, 42.5.