Seven players are to be selected for football championships. The mean height of the players needs to be 72 inches. Six players of heights 77, 74, 69, 71, 73, and 72 are selected, what must be the height of the seventh player?
To find the height of the seventh player, we need to consider the mean height of all seven players.
The sum of the heights of the six selected players is 77 + 74 + 69 + 71 + 73 + 72 = 436 inches.
To find the mean height of all seven players, we need to divide this sum by 7 (7 players total):
436 / 7 = 62.28 inches (rounded to two decimal places).
Therefore, the height of the seventh player must be 62.28 inches to maintain an average height of 72 inches for all seven players.