The average weight of 100 students is 32, kg. | vedclass

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(B) Let the weight of the $50^{th}$ student be $x\, kg$.The total weight of $100$ students is $100 	imes 32 = 3200\, kg$.The sum of the weights of th

Vedclass · Accepted Answer

$30$

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(B) Let the weight of the $50^{th}$ student be $x\, kg$.The total weight of $100$ students is $100 	imes 32 = 3200\, kg$.The sum of the weights of the first $49$ students is $49 	imes 30 = 1470\, kg$.The sum of the weights of the last $50$ students is $50 	imes 34 = 1700\, kg$.The total weight is the sum of the first $49$ students,the $50^{th}$ student,and the last $50$ students (excluding the $50^{th}$ student in the last group count,but here the $50^{th}$ student is the one remaining).Total weight = (Sum of first $49$) + (Weight of $50^{th}$ student) + (Sum of last $50$ students).$3200 = 1470 + x + 1700$$3200 = 3170 + x$$x = 3200 - 3170 = 30\, kg$.

The average weight of $100$ students is $32\, kg$. The average weight of the first $49$ students is $30\, kg$ and that of the last $50$ students is $34\, kg$. What is the weight (in $kg$) of the $50^{th}$ student?

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