The mean weight of a group of seven boys is 56 kg. The individual weights (in kg) of six of them are 52, 57, 55, 60, 59 and 55. Find the weight of the seventh boy.

33 kg

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54 kg

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22 kg

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30 kg

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Solution

The correct option is B
54 kg

Mean weight of 7 boys = $56$ kg

Total weight of 7 boys = $(56 \times 7)$ kg = 392 kg

Total weight of 6 boys = $(52 + 57 + 55 + 60 + 59 + 55)$ kg

= $338$ kg.

Weight of the 7th boy = (total weight of 7 boys) - (total weight of 6 boys)

= $(392 - 338)$ kg

= $54$ kg

Hence, the weight of the seventh boy is 54 kg

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