Average weight of 19 men is 74 kg and average weight of 38 women is 63 kg. Find the average weight (rounded to the nearest integer) of all 57 people together.

Introduction / Context:
Weighted averages combine groups with different sizes and means. Always multiply each group’s average by its count to get totals, then divide by the grand count and round if asked.

Given Data / Assumptions:

• Men: 19 with mean 74 kg.
• Women: 38 with mean 63 kg.
• Round the final mean to the nearest integer.

Concept / Approach:
Overall average = (total men's weight + total women's weight) / total people. Rounding applies only after exact computation.

Step-by-Step Solution:

Verification / Alternative check:
The average must lie between 63 and 74 and bias closer to 63 since women are double the men; 66–67 is plausible, and exact rounding gives 67.

Why Other Options Are Wrong:
59, 65, 69: Do not match the precise weighted result and rounding rule. "None of these" is unnecessary because a correct choice exists.

Common Pitfalls:
Taking an unweighted mean of 74 and 63 or rounding too early before dividing.

Final Answer:
67 kg