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Question

The following table shows the marks obtained by six students A-F in six different subjects S1 to S6 having 160, 160, 120, 120, 200 and 240 as maximum marks, respectively. Based on the data in the table, answer the questions that follow: 

                                                                        Students-wise Details of Marks obtained

                                                Marks obtained in subject
StudentS1 (Out of 160)S2 (Out of 160)S3 (Out of 120)S4 (Out of 120)S5 (Out of 200)S6 (Out of 240)
A80846656154150
B1201008476136132
C128726470144160
D841309684104168
E64128909217470
F70966056164100

What is the average marks scored by all the students in the subjects S5 and subject S6, respectively?

The correct answer is
146 and 130

Objective: Average Marks Calculation

The question asks for the average marks obtained by all six students (A-F) in subject S5 and subject S6 separately. We need to sum the marks for each subject and divide by the number of students (6).

Calculating Average Marks for Subject S5

First, identify the marks scored by each student in subject S5:

  • Student A: 154
  • Student B: 136
  • Student C: 144
  • Student D: 104
  • Student E: 174
  • Student F: 164

Sum these marks:

$ \text{Sum}_{S5} = 154 + 136 + 144 + 104 + 174 + 164 = 876 $

Calculate the average marks for S5:

$ \text{Average}_{S5} = \frac{\text{Sum}_{S5}}{\text{Number of Students}} = \frac{876}{6} = 146 $

Calculating Average Marks for Subject S6

Next, identify the marks scored by each student in subject S6:

  • Student A: 150
  • Student B: 132
  • Student C: 160
  • Student D: 168
  • Student E: 70
  • Student F: 100

Sum these marks:

$ \text{Sum}_{S6} = 150 + 132 + 160 + 168 + 70 + 100 = 780 $

Calculate the average marks for S6:

$ \text{Average}_{S6} = \frac{\text{Sum}_{S6}}{\text{Number of Students}} = \frac{780}{6} = 130 $

Final Answer: Average Marks

The average marks scored by all students in subject S5 is 146, and in subject S6 is 130.

Therefore, the average marks scored by all the students in the subjects S5 and subject S6 are 146 and 130, respectively.

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