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एक कक्षा में 20 छात्रों का औसत वजन 44 कि० ग्रा० है तथा बाकी के 10 छात्रों का औसत वजन 38 कि०ग्रा० है | कक्षा के सभी छात्रों का औसत वजन ज्ञात कीजिए |
- a)39 कि०ग्रा०
- b)41 कि०ग्रा०
- c)42 कि०ग्रा०
- d)43 कि०ग्रा०
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
20 44 10 38 | |a)39 b)41 c)42 d)43 Correct...
Given information:
- Average weight of 20 students = 44 kg
- Average weight of remaining 10 students = 38 kg
To find:
- Average weight of all students in the class
Solution:
To find the average weight of all students in the class, we need to find the total weight of all students and divide it by the total number of students.
Let's assume the total weight of all students = x kg
And the total number of students in the class = 30 (20 + 10)
Now, we can write two equations based on the given information:
- x/20 = 44 (as average weight of 20 students is 44 kg)
- x/30 = (20*44 + 10*38)/30 (taking weighted average of all students)
Solving these equations, we get:
- x = 880 kg
- Average weight of all students = x/30 = 880/30 = 29.33 kg
Therefore, the correct answer is option (c) 429 kg.
Note: It is important to understand the concept of weighted averages in such problems, where different groups have different average values.
- Average weight of 20 students = 44 kg
- Average weight of remaining 10 students = 38 kg
To find:
- Average weight of all students in the class
Solution:
To find the average weight of all students in the class, we need to find the total weight of all students and divide it by the total number of students.
Let's assume the total weight of all students = x kg
And the total number of students in the class = 30 (20 + 10)
Now, we can write two equations based on the given information:
- x/20 = 44 (as average weight of 20 students is 44 kg)
- x/30 = (20*44 + 10*38)/30 (taking weighted average of all students)
Solving these equations, we get:
- x = 880 kg
- Average weight of all students = x/30 = 880/30 = 29.33 kg
Therefore, the correct answer is option (c) 429 kg.
Note: It is important to understand the concept of weighted averages in such problems, where different groups have different average values.
Community Answer
20 44 10 38 | |a)39 b)41 c)42 d)43 Correct...
औसत वजन की गणना:
- पहले 20 छात्रों का औसत वजन = 44 कि० ग्रा०
- इसका कुल वजन = 20 * 44 = 880 कि० ग्रा०
- फिर, बाकी 10 छात्रों का औसत वजन = 38 कि० ग्रा०
- इसका कुल वजन = 10 * 38 = 380 कि० ग्रा०
- कुल छात्रों की संख्या = 20 + 10 = 30 छात्र
अब, सभी छात्रों का कुल वजन:
- 880 (पहले 20 छात्रों का कुल वजन) + 380 (बाकी 10 छात्रों का कुल वजन) = 1260 कि० ग्रा०
अब, सभी छात्रों का औसत वजन:
- कुल वजन / कुल छात्रों की संख्या = 1260 / 30 = 42 कि० ग्रा०
इसलिए, सभी छात्रों का औसत वजन 42 कि० ग्रा० है।
- पहले 20 छात्रों का औसत वजन = 44 कि० ग्रा०
- इसका कुल वजन = 20 * 44 = 880 कि० ग्रा०
- फिर, बाकी 10 छात्रों का औसत वजन = 38 कि० ग्रा०
- इसका कुल वजन = 10 * 38 = 380 कि० ग्रा०
- कुल छात्रों की संख्या = 20 + 10 = 30 छात्र
अब, सभी छात्रों का कुल वजन:
- 880 (पहले 20 छात्रों का कुल वजन) + 380 (बाकी 10 छात्रों का कुल वजन) = 1260 कि० ग्रा०
अब, सभी छात्रों का औसत वजन:
- कुल वजन / कुल छात्रों की संख्या = 1260 / 30 = 42 कि० ग्रा०
इसलिए, सभी छात्रों का औसत वजन 42 कि० ग्रा० है।
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20 44 10 38 | |a)39 b)41 c)42 d)43 Correct answer is option 'C'. Can you explain this answer?
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