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  1. If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is
    1. 54.68
    2. 53.33
    3. 55
    4. None of these
Correct Option: A

We find the required average with the help of given formula ,
Here, n1 = 55 , a1 = 50
n2 = 60 , a2 = 55 , n3 = 45 , a3 = 60

∴ Average = n1 + n2 + n3

The required average marks =
55 × 50 + 60 × 55 + 45 × 60
55 + 60 + 45

The required average marks =
2750 + 3300 + 2700
160

The required average marks =
8750
= 54.68
160



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