Finding Average Marks in Subject S5

This solution explains how to calculate the average marks scored by all six students (A to F) in subject S5, based on the provided table of marks.

Student Marks in Subject S5

First, let's identify the marks scored by each student in Subject S5 from the table:

Calculating the Average Marks

To find the average marks scored in subject S5, we need to sum up the marks of all students in S5 and then divide by the total number of students.

The formula for the average is:

$ \text{Average Marks} = \frac{\text{Sum of Marks in S5}}{\text{Total Number of Students}} $

Step 1: Sum the Marks in S5

Add the marks obtained by each student in subject S5:

Sum = 154 + 136 + 144 + 104 + 174 + 164

Let's calculate the sum:

• 154 + 136 = 290
• 290 + 144 = 434
• 434 + 104 = 538
• 538 + 174 = 712
• 712 + 164 = 876

So, the total sum of marks scored in S5 by all students is 876.

Step 2: Count the Total Number of Students

There are six students in total: A, B, C, D, E, and F.

Total Number of Students = 6

Step 3: Calculate the Average

Now, divide the sum of marks by the total number of students:

$ \text{Average Marks in S5} = \frac{876}{6} $

Performing the division:

$ \frac{876}{6} = 146 $

Conclusion

The average marks scored in subject S5 by all the students together is 146.