If the average marks of three batches of 30, 50 and 70 students respectively are 70 ,40 and 60 , What is the average mark of all the students ?

A ) 55.2 ✅

B ) 53.2

C ) 52.5

D ) 54.2

Explanation:

To find the average marks of all the students, use the weighted average formula:

🎯 Given:

  • Batch 1: 30 students, average = 70
  • Batch 2: 50 students, average = 40
  • Batch 3: 70 students, average = 60

✅ Step 1: Find total marks of each batch

  • Batch 1: 30×70=2100
  • Batch 2: 50×40=2000
  • Batch 3: 70×60=4200

✅ Step 2: Total students and total marks

  • Total students = 30+50+70=150 
  • Total marks = 2100+2000+4200=8300

✅ Step 3: Average marks of all students

Average=8300/150=55.33

✅ Final Answer: 55.33 Marks.
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