An sss1 contains three classes of 36,33 and 31 students. in an examination, the average mark of the classes were 65,56 and 52 respectively. what was the average mark for the sss1 altogether solve
Average mark for the SSS1 altogether = (36 x 65 + 33 x 56 + 31 x 52) / (36 + 33 + 31)
= (2340 + 1848 + 1612) / 100
= 58.00
To find the average mark for the SSS1 altogether, you need to calculate the total marks for all the classes and then divide by the total number of students. Here's how you can do it:
1. Calculate the total marks for each class by multiplying the average mark with the number of students:
- Total marks for the first class = 65 * 36
- Total marks for the second class = 56 * 33
- Total marks for the third class = 52 * 31
2. Add up all the total marks to get the total marks for SSS1:
- Total marks for SSS1 = Total marks for the first class + Total marks for the second class + Total marks for the third class
3. Calculate the total number of students in SSS1 by adding the number of students in each class:
- Total number of students in SSS1 = Number of students in the first class + Number of students in the second class + Number of students in the third class
4. Finally, divide the total marks for SSS1 by the total number of students to find the average mark for SSS1 altogether:
- Average mark for SSS1 altogether = Total marks for SSS1 / Total number of students in SSS1
Let's plug in the numbers and solve:
Total marks for the first class = 65 * 36 = 2340
Total marks for the second class = 56 * 33 = 1848
Total marks for the third class = 52 * 31 = 1612
Total marks for SSS1 = 2340 + 1848 + 1612 = 5796
Total number of students in SSS1 = 36 + 33 + 31 = 100
Average mark for SSS1 altogether = 5796 / 100 = 57.96
Therefore, the average mark for SSS1 altogether is 57.96.
To find the average mark for the SSS1 altogether, we need to calculate the weighted average, taking into account the number of students in each class.
Step 1: Multiply the number of students in each class by their respective average marks.
Class 1: 36 students * 65 average mark = 2340
Class 2: 33 students * 56 average mark = 1848
Class 3: 31 students * 52 average mark = 1612
Step 2: Add up the total marks from all classes.
2340 + 1848 + 1612 = 5792
Step 3: Add up the total number of students.
36 + 33 + 31 = 100
Step 4: Divide the total marks by the total number of students to find the average mark for the SSS1 altogether.
5792 / 100 = 57.92
Therefore, the average mark for SSS1 altogether is 57.92.