The mean weight of 34 students of a school is | vedclass

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(B) Let the weight of the teacher be $x\, kg$.Total weight of $34$ students $= 34 	imes 42 = 1428\, kg$.When the teacher is included, the total numbe

Vedclass · Accepted Answer

$56$

Vedclass · Answer

(B) Let the weight of the teacher be $x\, kg$.Total weight of $34$ students $= 34 	imes 42 = 1428\, kg$.When the teacher is included, the total number of people becomes $34 + 1 = 35$.The new mean weight $= 42\, kg + 400\, g = 42\, kg + 0.4\, kg = 42.4\, kg$.Total weight of $35$ people $= 35 	imes 42.4 = 1484\, kg$.The weight of the teacher $= (	ext{Total weight of } 35 	ext{ people}) - (	ext{Total weight of } 34 	ext{ students})$.Weight of the teacher $= 1484 - 1428 = 56\, kg$.

The mean weight of $34$ students of a school is $42\, kg$. If the weight of the teacher is included, the mean weight increases by $400\, g$. Find the weight (in $kg$) of the teacher.

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