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(5x67) will be the total weight of the people, as the average is all the people added together / 5

then use the normal average method

(5x67) + 25 / 6 will be the new average

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Q: What is the method used to figure out the answer to this question Five people have an average weight of 67kg If a child of 25kg is added to the group what is the average weight?
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