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If the average weight of 6 students is 50 kg, the average weight of 2 students is 57 kg, and the average weight of 2 students is 55 kg, then the average weight of all students is?
- a)61 kg
- b)51.5 kg
- c)52.4 kg
- d)51.2 kg
Correct answer is option 'C'. Can you explain this answer?
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Understanding the Problem
To find the average weight of all students combined, we first need to calculate the total weights of each group of students and then sum these totals before dividing by the total number of students.
Step 1: Calculate Total Weight of Each Group
- For the 6 students:
- Average weight = 50 kg
- Total weight = Average weight × Number of students = 50 kg × 6 = 300 kg
- For the 2 students (first group):
- Average weight = 57 kg
- Total weight = 57 kg × 2 = 114 kg
- For the 2 students (second group):
- Average weight = 55 kg
- Total weight = 55 kg × 2 = 110 kg
Step 2: Calculate Overall Total Weight
- Combine the total weights of all groups:
- Total weight of all students = 300 kg + 114 kg + 110 kg
- Total weight = 524 kg
Step 3: Calculate Total Number of Students
- Total number of students = 6 + 2 + 2 = 10 students
Step 4: Calculate Average Weight of All Students
- Average weight = Total weight / Total number of students
- Average weight = 524 kg / 10 = 52.4 kg
Conclusion
Thus, the average weight of all students is 52.4 kg, confirming that the correct answer is option 'C'.
To find the average weight of all students combined, we first need to calculate the total weights of each group of students and then sum these totals before dividing by the total number of students.
Step 1: Calculate Total Weight of Each Group
- For the 6 students:
- Average weight = 50 kg
- Total weight = Average weight × Number of students = 50 kg × 6 = 300 kg
- For the 2 students (first group):
- Average weight = 57 kg
- Total weight = 57 kg × 2 = 114 kg
- For the 2 students (second group):
- Average weight = 55 kg
- Total weight = 55 kg × 2 = 110 kg
Step 2: Calculate Overall Total Weight
- Combine the total weights of all groups:
- Total weight of all students = 300 kg + 114 kg + 110 kg
- Total weight = 524 kg
Step 3: Calculate Total Number of Students
- Total number of students = 6 + 2 + 2 = 10 students
Step 4: Calculate Average Weight of All Students
- Average weight = Total weight / Total number of students
- Average weight = 524 kg / 10 = 52.4 kg
Conclusion
Thus, the average weight of all students is 52.4 kg, confirming that the correct answer is option 'C'.
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If the average weight of 6 students is 50 kg, the average weight of 2 students is 57 kg, and the average weight of 2 students is 55 kg, then the average weight of all students is?a)61 kgb)51.5 kgc)52.4 kgd)51.2 kgCorrect answer is option 'C'. Can you explain this answer?
Question Description
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If the average weight of 6 students is 50 kg, the average weight of 2 students is 57 kg, and the average weight of 2 students is 55 kg, then the average weight of all students is?a)61 kgb)51.5 kgc)52.4 kgd)51.2 kgCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If the average weight of 6 students is 50 kg, the average weight of 2 students is 57 kg, and the average weight of 2 students is 55 kg, then the average weight of all students is?a)61 kgb)51.5 kgc)52.4 kgd)51.2 kgCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If the average weight of 6 students is 50 kg, the average weight of 2 students is 57 kg, and the average weight of 2 students is 55 kg, then the average weight of all students is?a)61 kgb)51.5 kgc)52.4 kgd)51.2 kgCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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