The following table shows the percentage of marks obtained by 7 students in different subjects. Study the table data and answer the question 1 to 5 based on this data. (Here M.M = maximum marks in a subject)Percentage of marks obtained by students Subject → English
(Μ.Μ=150)Economics
(Μ.Μ=130)Sociology
(Μ.Μ=120)Philosphy
(M.M=100)Psychology
(Μ.Μ=60)IT
(Μ.Μ=40)↓ Student A 80 50 80 60 70 80 B 90 80 70 40 80 70 C 80 60 70 70 80 70 D 70 65 80 80 60 60 E 70 65 80 75 50 80 F 60 75 60 80 40 60 G 60 35 50 70 70 70
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.
Important Questions from Mixed Data Interpretation
Select the correct mirror image of the given combination when the mirror is placed at MN as shown below.
Choose the alternative which closely resembles the mirror image of the given combination.
Select the correct mirror image of the given combination when the mirror is placed at MN as shown below.
Select the correct mirror image of the given figure when the mirror is placed at AB as shown below.
Six letters N, P, R, S, T and U are written on different faces of a dice. Two positions of this dice are shown in the figure. Which is the letter on the face opposite to the face containing U?
