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 Student S1 (Out of 160) S2 (Out of 160) S3 (Out of 120) S4 (Out of 120) S5 (Out of 200) S6 (Out of 240) A 80 84 66 56 154 150 B 120 100 84 76 136 132 C 128 72 64 70 144 160 D 84 130 96 84 104 168 E 64 128 90 92 174 70 F 70 96 60 56 164 100
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).
First, identify the marks scored by each student in subject S5:
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 $
Next, identify the marks scored by each student in subject S6:
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 $
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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