The average height of the basketball team A is 5 ft 11 inches and that of B is 6 ft 2 inches. There are 20 players in team A and 18 player in team B.The overall average height is

Q: The average height of the basketball team A is 5 ft 11 inches and that of B is 6 ft 2 inches. There are 20 players in team A and 18 player in team B.The overall average height is

Overall height = (n1a1 + n2a2) / (n1 + n2) n1= 20, a1 = 5 ft 11 inches = 5 x 12 + 11 = 71 inches n2= 18, a2 = 6 ft 2 inches = 6 x 12 + 2 = 74 inches ∴ Overall height = [(20) (71) + (18) (74)] / (20+18) = (1420 + 1332) / 38 = 72.42 inches

72.42 inches
72 inches
70.22 inches
70 inches

Correct Answer: 72.42 inches

Explanation:

Overall height = (n₁a₁ + n₂a₂) / (n₁ + n₂)
n₁= 20,
a₁ = 5 ft 11 inches = 5 x 12 + 11 = 71 inches
n₂= 18,
a₂ = 6 ft 2 inches = 6 x 12 + 2 = 74 inches
∴ Overall height = [(20) (71) + (18) (74)] / (20+18)
= (1420 + 1332) / 38 = 72.42 inches

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