The question asks for the average marks obtained by the 7 students (A to G) in Sociology and IT.

Calculating Average Sociology Marks

First, calculate the actual marks obtained by each student in Sociology. The maximum marks (M.M.) for Sociology is 120.

The formula to calculate actual marks is:

$Actual Marks = (Percentage / 100) * Maximum Marks$

Student marks in Sociology:

• Student A: $120 \times \frac{80}{100} = 96$
• Student B: $120 \times \frac{70}{100} = 84$
• Student C: $120 \times \frac{70}{100} = 84$
• Student D: $120 \times \frac{80}{100} = 96$
• Student E: $120 \times \frac{80}{100} = 96$
• Student F: $120 \times \frac{60}{100} = 72$
• Student G: $120 \times \frac{50}{100} = 60$

Total marks obtained in Sociology by all students:

Total = $96 + 84 + 84 + 96 + 96 + 72 + 60 = 588$ marks.

Average marks in Sociology:

Average = $\frac{\text{Total Marks}}{\text{Number of Students}} = \frac{588}{7} = 84$ marks.

Calculating Average IT Marks

Next, calculate the actual marks obtained by each student in IT. The maximum marks (M.M.) for IT is 40.

Student marks in IT:

• Student A: $40 \times \frac{80}{100} = 32$
• Student B: $40 \times \frac{70}{100} = 28$
• Student C: $40 \times \frac{60}{100} = 24$
• Student D: $40 \times \frac{60}{100} = 24$
• Student E: $40 \times \frac{80}{100} = 32$
• Student F: $40 \times \frac{60}{100} = 24$
• Student G: $40 \times \frac{70}{100} = 28$

Total marks obtained in IT by all students:

Total = $32 + 28 + 24 + 24 + 32 + 24 + 28 = 192$ marks.

Average marks in IT:

Average = $\frac{\text{Total Marks}}{\text{Number of Students}} = \frac{192}{7} \approx 27.43$ marks.

Based on the options provided, the average IT marks are considered to be 28.

Final Answer

The average marks obtained by all students in Sociology is 84, and in IT is 28.