Question:
Average weight of 19 men is 74 kgs, and the average weight of 38 women is 63 kgs. What is the average weight (rounded off to the nearest integer) of all the men and the women together?
Average weight of 19 men is 74 kgs, and the average weight of 38 women is 63 kgs. What is the average weight (rounded off to the nearest integer) of all the men and the women together?
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Add both total weights first, then divide by the combined headcount, not by 2.
Updated On: Jul 16, 2026
- 59 kg
- 65 kg
- 69 kg
- 67 kg
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Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Find the total weight of the men and the total weight of the women.
Total weight of 19 men \( = 19 \times 74 = 1406 \) kg.
Total weight of 38 women \( = 38 \times 63 = 2394 \) kg.
Step 2: Add the two totals and divide by the total number of people.
Combined weight \( = 1406 + 2394 = 3800 \) kg.
Total number of people \( = 19 + 38 = 57 \).
Average weight \( = \dfrac{3800}{57} = 66.67 \) kg approximately.
Final Answer:
Rounded off to the nearest integer, the average weight works out to 67 kg, so option D is correct. \[ \boxed{67 \text{ kg}} \]
Total weight of 19 men \( = 19 \times 74 = 1406 \) kg.
Total weight of 38 women \( = 38 \times 63 = 2394 \) kg.
Step 2: Add the two totals and divide by the total number of people.
Combined weight \( = 1406 + 2394 = 3800 \) kg.
Total number of people \( = 19 + 38 = 57 \).
Average weight \( = \dfrac{3800}{57} = 66.67 \) kg approximately.
Final Answer:
Rounded off to the nearest integer, the average weight works out to 67 kg, so option D is correct. \[ \boxed{67 \text{ kg}} \]
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