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The mean weight of 15 students is 110 kg. The mean weight of 5 of them is100 kg. and that of another five students is 125 kg., then the mean weight ofthe remaining students is:(a) 120(b) 105(c) 115(d) None of thes

Question

The mean weight of 15 students is 110 kg. The mean weight of 5 of them is100 kg. and that of another five students is 125 kg., then the mean weight ofthe remaining students is:(a) 120(b) 105(c) 115(d) None of thes

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Solution

To solve this problem, we first need to find the total weight of all 15 students. We do this by multiplying the mean weight by the number of students, so 110 kg * 15 = 1650 kg.

Next, we find the total weight of the first group of 5 students, which is 100 kg * 5 = 500 kg. We do the same for the second group of 5 students, which is 125 kg * 5 = 625 kg.

We then subtract the total weight of these two groups from the total weight of all 15 students to find the total weight of the remaining 5 students. So, 1650 kg - 500 kg - 625 kg = 525 kg.

Finally, we find the mean weight of the remaining 5 students by dividing their total weight by the number of students, so 525 kg / 5 = 105 kg.

Therefore, the mean weight of the remaining students is 105 kg, so the answer is (b) 105.

This problem has been solved

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