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  1. If the average weight of 6 students is 50 kg; that of 2 students is 51 kg; and that of other 2 students is 55 kg; then the average weight of all students is
    1. 61 kg
    2. 51.5 kg
    3. 52 kg
    4. 51.2 kg
Correct Option: D

We can find the required average weight with the help of given formula ,
Here, n1 = 6 , a1 = 50 kg
n2 = 2 , a2 = 51 kg , n2 = 2 , a2 = 55 kg

∴ Average =
n1a1 + n2a2 + n3a3
n1 + n2 + n3

Required average weight =
(50 × 6 + 51 × 2 + 55 × 2)
10

Required average weight =
300 + 102 + 110
10

Required average weight =
512
= 51.2 kg.
10



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