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If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, what is the average marks of all the students?
  • a)
    53.23
  • b)
    54.68
  • c)
    51.33
  • d)
    50
Correct answer is 'B'. Can you explain this answer?
Verified Answer
If the average marks of three batches of 55, 60 and 45 students respec...
Total marks of first batch(55) is= 55*50=2750
Total marks of second batch (60) is= 60*55=3300
Total marks of third batch(45)= 45*60=2700

Total marks of second batch= 2750+3300+2700 = 8750
Total number of Students= 55+60+45 =160
Avg= 8750/160= 54.68
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Most Upvoted Answer
If the average marks of three batches of 55, 60 and 45 students respec...
Given:
- Average marks of the first batch (55 students) = 50
- Average marks of the second batch (60 students) = 55
- Average marks of the third batch (45 students) = 60

To find:
- Average marks of all the students

Approach:
To find the average marks of all the students, we need to find the total marks of all the students and divide it by the total number of students.

Solution:
Let's calculate the total marks of all the students.

For the first batch:
Total marks of the first batch = Average marks * Number of students
Total marks of the first batch = 50 * 55 = 2750

For the second batch:
Total marks of the second batch = Average marks * Number of students
Total marks of the second batch = 55 * 60 = 3300

For the third batch:
Total marks of the third batch = Average marks * Number of students
Total marks of the third batch = 60 * 45 = 2700

Total marks of all the students:
Total marks of all the students = Total marks of the first batch + Total marks of the second batch + Total marks of the third batch
Total marks of all the students = 2750 + 3300 + 2700 = 8750

Total number of students:
Total number of students = Number of students in the first batch + Number of students in the second batch + Number of students in the third batch
Total number of students = 55 + 60 + 45 = 160

Average marks of all the students:
Average marks of all the students = Total marks of all the students / Total number of students
Average marks of all the students = 8750 / 160 = 54.6875

So, the average marks of all the students is approximately 54.68.

Answer:
The correct answer is option B) 54.68.
Free Test
Community Answer
If the average marks of three batches of 55, 60 and 45 students respec...
Marks of b1=55x50=2300
marks of b2=60x55=3300
marks 8f b3=45×60=2700
total marks =8700
total students =160
8700/160=54.375
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If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, what is the average marks of all the students?a)53.23b)54.68c)51.33 d)50Correct answer is 'B'. Can you explain this answer?
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