The average height of a

Solution

ATQ,

Sum of height of the players = 185 × 18 = 3330 cm Sum of height of the players and coaches = 186.5 × 20 = 3730 cm So, the sum of height of the coaches = 3730 - 3330 = 400 cm So, the required average = (400/2) = 200 cm Alternate Solution: Change in the average = 186.5 - 185 = 1.5 cm Because of the addition of 2 coaches, the height of 20 members (18 players + 2 coaches) is considered. So, the additional height added to the players' total height = 1.5 × 20 = 30 cm So, the sum of the heights of the two coaches = 2 × 185 + 30 = 370 + 30 = 400 cm So, the required average = (400/2) = 200 cm