Q. 1

# The weight of 6 players in a volley ball team are all different and the average weight is 60 kilograms.

i) Prove that the team has at least one player weighing more than 60 kilograms.

ii) Prove that the team has at least one player weighing less than 60 kilograms.

Answer :

(i) Given: number of players = 6

Their average weight = 60Kg

If all the players will have weight more than 60 then average weight will be more than 60. Hence, to have average weight to be 60 atleast one of the player must have his weight less than 60.

(ii) Given: number of players = 6

Their average weight = 60Kg

If all the players will have weight less than 60 then average weight will be less than 60. Hence, to have average weight to be 60 atleast one of the player must have his weight more than 60.

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i) Prove that the team has at least one player weighing more than 60 kilograms.

ii) Prove that the team has at least one player weighing less than 60 kilograms.

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