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
Consider the following data:
What is the value of x in the above table?
Seeta and Geeta go for a swim after a gap of every 2 days and every 3 days respectively. If on 1st January both of them went for a swim together, when will they go together next?
X, Y and Z are three contestants in a race of 1000 m. Assume that all run with different uniform speeds. X gives Y a start of 40 m and X gives Z a start of 64 m. If Y and Z were to compete in a race of 1000 m, how many metres start will Y give to Z?
If x is greater than or equal to 25 and y is less than or equal to 40, then which one of the following is always correct?
Ena was born 4 years after her parents' marriage. Her mother is three years younger than her father and 24 years older than Ena, who is 13 years old. At what age did Ena's father get married
