Question

A football team of 11 players has a mean height of 1.83m. One player is injured and is replaced by a player of height 1.85m. The new mean height of the team is 1.84m.
What is the height of the injured player?

Answer 1

Answer:

As the average has increased the height of the new player must be more then the height of the player which was injured.

The difference between the previous average and the new average is 0.01 m.

Therefore the average is increased by 0.01 m.

Therefore the total height of all the players is increased by 0.01*11=0.11 m

Therefore as the increase in the total height is made by the player with height 1.85 m,the height of the player who was injured is 1.85–0.11=1.74 m

The height of the player who was injured is 1.74 m

Step-by-step explanation: