Answer :
Final answer:
The average weight of the given group of ten people is closest to 150 pounds, with the best option being 'a'. This computation takes the average weight of the men and women, multiplies by the number of each, adds the totals, and then divides by the total number of people to get the overall average.
Explanation:
The subject of the question is the calculation of the average weight of a group of people. Given the average weights of men and women, we first multiply each average weight by the respective number of men and women. So for men, it is 4 men * 172 pounds = 688 pounds. For women, it is 6 women * 134 pounds = 804 pounds. Then we add these two amounts together, which equals 1492 pounds. To get the overall average, we then divide this total weight by the total number of people (10), resulting in an average weight of 149.2 pounds. However, the options provided are all rounded to the nearest full number, so the result would be closest to 150 pounds which is option a.
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