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The average weight of 17 smdents of a class is 56 kg. 3 new smdents whose weights are 57, 62 and 68 kg, respectively, join
the class. Find the new average weight of the smdents of the class.
56.45 kg
56.95 kg
58.05 kg
57.65 kg
- Calculate the initial total weight of 17 students:
$$
\text{Total weight} = 17 \times 56 = 952 \text{ kg}
- Add the weights of the 3 new students:
\text{Weights} = 57 + 62 + 68 = 187 \text{ kg}
- Calculate the new total weight of all students:
\text{New total weight} = 952 + 187 = 1139 \text{ kg}
- Calculate the new average weight:
\text{Average} = \frac{1139}{20} = 56.95 \text{ kg}
- Evaluate the options:
- Option 1: 56.45 kg
- Option 2: 56.95 kg
- Option 3: 58.05 kg
- Option 4: 57.65 kg
Option 2, 56.95 kg, is the correct answer.
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