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
English Overall Percentage Calculation
The overall percentage for a subject is calculated using the formula:
Overall Percentage = $ \frac{\text{Total Marks Obtained by all students}}{\text{Total Maximum Marks possible for all students}} \times 100 $
For English, the Maximum Marks (M.M.) per student is 150.
- Total Marks Obtained in English: Sum of marks obtained by each student.
- A: $0.80 \times 150 = 120$
- B: $0.90 \times 150 = 135$
- C: $0.80 \times 150 = 120$
- D: $0.70 \times 150 = 105$
- E: $0.70 \times 150 = 105$
- F: $0.60 \times 150 = 90$
- G: $0.60 \times 150 = 90$
- Sum of Marks Obtained = $120 + 135 + 120 + 105 + 105 + 90 + 90 = 765$.
- Total Maximum Marks in English for 7 students = $7 \times 150 = 1050$.
- Overall Percentage in English = $ \frac{765}{1050} \times 100 $
$\approx 72.857\%$
Rounded to two decimal places, the overall percentage is 72.85%.
Philosophy Overall Percentage Calculation
For Philosophy, the Maximum Marks (M.M.) per student is 100.
- Total Marks Obtained in Philosophy: Sum of marks obtained by each student.
- A: $0.60 \times 100 = 60$
- B: $0.40 \times 100 = 40$
- C: $0.70 \times 100 = 70$
- D: $0.80 \times 100 = 80$
- E: $0.75 \times 100 = 75$
- F: $0.80 \times 100 = 80$
- G: $0.70 \times 100 = 70$
- Sum of Marks Obtained = $60 + 40 + 70 + 80 + 75 + 80 + 70 = 475$.
- Total Maximum Marks in Philosophy for 7 students = $7 \times 100 = 700$.
- Overall Percentage in Philosophy = $ \frac{475}{700} \times 100 $
$\approx 67.857\%$
Rounded to two decimal places, the overall percentage is 67.85%.
IT Overall Percentage Calculation
For IT, the Maximum Marks (M.M.) per student is 40.
- Total Marks Obtained in IT: Sum of marks obtained by each student.
- A: $0.80 \times 40 = 32$
- B: $0.70 \times 40 = 28$
- C: $0.70 \times 40 = 28$
- D: $0.60 \times 40 = 24$
- E: $0.80 \times 40 = 32$
- F: $0.60 \times 40 = 24$
- G: $0.70 \times 40 = 28$
- Sum of Marks Obtained = $32 + 28 + 28 + 24 + 32 + 24 + 28 = 196$.
- Total Maximum Marks in IT for 7 students = $7 \times 40 = 280$.
- Overall Percentage in IT = $ \frac{196}{280} \times 100 $
$= 70\%$
The overall percentage is exactly 70%.
Final Result
The overall percentages for the subjects English, Philosophy, and IT are approximately 72.85%, 67.85%, and 70% respectively.
Important Questions from Mixed Data Interpretation
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How many minutes of telephone conversations took place on that day?Study the given table answer the question that follows. The following table shows the income of a person (in thousand rupees) per annum over the given years.
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The percentage of money spent on miscellaneous is
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The graph shows the monthly expenditure of a company (unit = 10 lakhs). Study the graph and answer the questions.
The total monthly expenditure of the company is
