Average weight of 19 men is 74 kg and the average weight of 38 women is 63 kg. What is the average weight(rounded off to the nearest integer) of all the men and the women together.

Q: Average weight of 19 men is 74 kg and the average weight of 38 women is 63 kg. What is the average weight(rounded off to the nearest integer) of all the men and the women together.

Here n1 = 19, a1 = 74, n2 = 38, a1 = 63 Total average weight = (n1a1 + n2 a2) / (n1 + n2) = [(19) (74) + (38) (63)] / (19 + 38) = 3800/57 ≈ 67 kg

59 kg
65 kg
69 kg
67 kg

Correct Answer: 67 kg

Explanation:

Here n₁ = 19, a₁ = 74, n₂ = 38, a₁ = 63
Total average weight = (n₁a₁ + n₂ a₂) / (n₁ + n₂)
= [(19) (74) + (38) (63)] / (19 + 38)
= 3800/57 ≈ 67 kg

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