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There are two divisions A and B of a class, consisting of 36 and 44 students respectively. If the average weight of divisions A is 40 kg and that of division b is 35 kg. What is the average weight of the whole class?
- a)38.25
- b)37.25
- c)38.5
- d)37
Correct answer is option 'B'. Can you explain this answer?
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There are two divisions A and B of a class, consisting of 36 and 44 st...
Most Upvoted Answer
There are two divisions A and B of a class, consisting of 36 and 44 st...
**Given Information:**
- Division A consists of 36 students with an average weight of 40 kg.
- Division B consists of 44 students with an average weight of 35 kg.
**To Find:**
- Average weight of the whole class.
**Solution:**
To find the average weight of the whole class, we need to consider the total weight of all students in both divisions.
Let's calculate the total weight for each division:
- Total weight of Division A = Number of students in Division A * Average weight of Division A
Total weight of Division A = 36 * 40 = 1440 kg
- Total weight of Division B = Number of students in Division B * Average weight of Division B
Total weight of Division B = 44 * 35 = 1540 kg
Now, let's calculate the total weight of the whole class by adding the total weights of both divisions:
Total weight of the whole class = Total weight of Division A + Total weight of Division B
Total weight of the whole class = 1440 + 1540 = 2980 kg
Next, we need to calculate the total number of students in the whole class:
Total number of students in the whole class = Number of students in Division A + Number of students in Division B
Total number of students in the whole class = 36 + 44 = 80 students
Finally, we can find the average weight of the whole class by dividing the total weight of the whole class by the total number of students:
Average weight of the whole class = Total weight of the whole class / Total number of students in the whole class
Average weight of the whole class = 2980 / 80 = 37.25 kg
Therefore, the average weight of the whole class is 37.25 kg. Hence, option B is the correct answer.
- Division A consists of 36 students with an average weight of 40 kg.
- Division B consists of 44 students with an average weight of 35 kg.
**To Find:**
- Average weight of the whole class.
**Solution:**
To find the average weight of the whole class, we need to consider the total weight of all students in both divisions.
Let's calculate the total weight for each division:
- Total weight of Division A = Number of students in Division A * Average weight of Division A
Total weight of Division A = 36 * 40 = 1440 kg
- Total weight of Division B = Number of students in Division B * Average weight of Division B
Total weight of Division B = 44 * 35 = 1540 kg
Now, let's calculate the total weight of the whole class by adding the total weights of both divisions:
Total weight of the whole class = Total weight of Division A + Total weight of Division B
Total weight of the whole class = 1440 + 1540 = 2980 kg
Next, we need to calculate the total number of students in the whole class:
Total number of students in the whole class = Number of students in Division A + Number of students in Division B
Total number of students in the whole class = 36 + 44 = 80 students
Finally, we can find the average weight of the whole class by dividing the total weight of the whole class by the total number of students:
Average weight of the whole class = Total weight of the whole class / Total number of students in the whole class
Average weight of the whole class = 2980 / 80 = 37.25 kg
Therefore, the average weight of the whole class is 37.25 kg. Hence, option B is the correct answer.
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Community Answer
There are two divisions A and B of a class, consisting of 36 and 44 st...
Weighted Average=[(Weight of Group 1) * (Average of Group 1) + (Weight of Group 2) * (Average of Group 2)]/Total Weight
In this case, Group 1 is Division A and Group 2 is Division B.
Given information:
- Weight of Division A (Weight of Group 1Weight of Group 1) = 36 students
- Average weight of Division A (Average of Group 1Average of Group 1) = 40 kg
- Weight of Division B (Weight of Group 2Weight of Group 2) = 44 students
- Average weight of Division B (Average of Group 2Average of Group 2) = 35 kg
Now, plug these values into the formula:
Weighted Average=[(36 students×40 kg)+(44 students×35 kg)]/36+44
Weighted Average=37.25kg
So, the average weight of the whole class is 37.25 kg.
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There are two divisions A and B of a class, consisting of 36 and 44 students respectively. If the average weight of divisions A is 40 kg and that of division b is 35 kg. What is the average weight of the whole class? a)38.25b)37.25c)38.5 d)37Correct answer is option 'B'. Can you explain this answer?
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