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Question

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 
A805080607080
B908070408070
C806070708070
D706580806060
E706580755080
F607560804060
G603550707070

Find the overall percentage of A and G.

The correct answer is
69.16 and 55.91

To find the overall percentage for students A and G, we need to calculate the total marks obtained by each student across all subjects and divide it by the total maximum marks possible for all subjects, then multiply by 100.

Student A Overall Percentage Calculation

First, calculate the actual marks obtained by Student A in each subject:

  • English: \( 0.80 \times 150 = 120 \)
  • Economics: \( 0.50 \times 130 = 65 \)
  • Sociology: \( 0.80 \times 120 = 96 \)
  • Philosophy: \( 0.60 \times 100 = 60 \)
  • Psychology: \( 0.70 \times 60 = 42 \)
  • IT: \( 0.80 \times 40 = 32 \)

Total marks obtained by Student A = \( 120 + 65 + 96 + 60 + 42 + 32 = 415 \)

Total maximum marks = \( 150 + 130 + 120 + 100 + 60 + 40 = 600 \)

Overall percentage for Student A = \( \frac{\text{Total Marks Obtained}}{\text{Total Maximum Marks}} \times 100 \)

Overall percentage for Student A = \( \frac{415}{600} \times 100 \approx 69.17\% \)

Student G Overall Percentage Calculation

Next, calculate the actual marks obtained by Student G in each subject:

  • English: \( 0.60 \times 150 = 90 \)
  • Economics: \( 0.35 \times 130 = 45.5 \)
  • Sociology: \( 0.50 \times 120 = 60 \)
  • Philosophy: \( 0.70 \times 100 = 70 \)
  • Psychology: \( 0.70 \times 60 = 42 \)
  • IT: \( 0.70 \times 40 = 28 \)

Total marks obtained by Student G = \( 90 + 45.5 + 60 + 70 + 42 + 28 = 335.5 \)

Total maximum marks (same for all students) = \( 600 \)

Overall percentage for Student G = \( \frac{\text{Total Marks Obtained}}{\text{Total Maximum Marks}} \times 100 \)

Overall percentage for Student G = \( \frac{335.5}{600} \times 100 \approx 55.92\% \)

Therefore, the overall percentages are approximately 69.17% for Student A and 55.92% for Student G.

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Important Questions from Mixed Data Interpretation

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    How many minutes of telephone conversations took place on that day?

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    What is the average income from school as a salary per year earned by the person over the given years?

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