Class 10 Exam > Class 10 Questions > The mean weight of a class of 34 students is ...
Start Learning for Free
The mean weight of a class of 34 students is 46.5 kg. If the weight of the teacher is included, the mean rises by 500g. Then the weight of the teacher is _____.
- a)175 kg
- b)62 kg
- c)64 kg
- d)72 kg
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The mean weight of a class of 34 students is 46.5 kg. If the weight of...
Given information:
- Number of students in the class = 34
- Mean weight of the students = 46.5 kg
- Increase in mean weight when teacher's weight is included = 500g
To find:
- Weight of the teacher
Mean weight calculation:
To find the mean weight of the students, we can use the formula:
Mean = Sum of all weights / Number of students
Given that the mean weight of the students is 46.5 kg and there are 34 students, we can write the equation as:
46.5 = Sum of all weights / 34
Total weight of the students:
Sum of all weights = Mean * Number of students
Sum of all weights = 46.5 kg * 34
Sum of all weights = 1581 kg
Weight including the teacher:
When the weight of the teacher is included, the mean weight increases by 500g. Therefore, the new mean weight becomes 46.5 kg + 0.5 kg = 47 kg.
New total weight:
Sum of all weights + Weight of teacher = New mean weight * Total number of students
1581 kg + Weight of teacher = 47 kg * 35 (since the teacher is also included in the count)
1581 kg + Weight of teacher = 1645 kg
Calculating the weight of the teacher:
Weight of teacher = 1645 kg - 1581 kg
Weight of teacher = 64 kg
Therefore, the weight of the teacher is 64 kg, which corresponds to option C.
- Number of students in the class = 34
- Mean weight of the students = 46.5 kg
- Increase in mean weight when teacher's weight is included = 500g
To find:
- Weight of the teacher
Mean weight calculation:
To find the mean weight of the students, we can use the formula:
Mean = Sum of all weights / Number of students
Given that the mean weight of the students is 46.5 kg and there are 34 students, we can write the equation as:
46.5 = Sum of all weights / 34
Total weight of the students:
Sum of all weights = Mean * Number of students
Sum of all weights = 46.5 kg * 34
Sum of all weights = 1581 kg
Weight including the teacher:
When the weight of the teacher is included, the mean weight increases by 500g. Therefore, the new mean weight becomes 46.5 kg + 0.5 kg = 47 kg.
New total weight:
Sum of all weights + Weight of teacher = New mean weight * Total number of students
1581 kg + Weight of teacher = 47 kg * 35 (since the teacher is also included in the count)
1581 kg + Weight of teacher = 1645 kg
Calculating the weight of the teacher:
Weight of teacher = 1645 kg - 1581 kg
Weight of teacher = 64 kg
Therefore, the weight of the teacher is 64 kg, which corresponds to option C.
Free Test
FREE
| Start Free Test |
Community Answer
The mean weight of a class of 34 students is 46.5 kg. If the weight of...
It is given that,
Mean weight of 34 students = 46.5kg
So the total weight = 34 (46.5) = 1581kg
We know that,
Mean weight of 34 students and teacher = 46.5 + 0.5 = 47kg
So the total weight of 34 students and teacher = 47 (35) = 1645kg
The weight of teacher = Weight of 34 students and teacher – total weight
By substituting the values,
Weight of the teacher = 1645 – 1581 = 64kg
Therefore, the weight of the teacher is 64kg.
Mean weight of 34 students = 46.5kg
So the total weight = 34 (46.5) = 1581kg
We know that,
Mean weight of 34 students and teacher = 46.5 + 0.5 = 47kg
So the total weight of 34 students and teacher = 47 (35) = 1645kg
The weight of teacher = Weight of 34 students and teacher – total weight
By substituting the values,
Weight of the teacher = 1645 – 1581 = 64kg
Therefore, the weight of the teacher is 64kg.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
The mean weight of a class of 34 students is 46.5 kg. If the weight of the teacher is included, the mean rises by 500g. Then the weight of the teacher is _____.a)175 kgb)62 kgc)64 kgd)72 kgCorrect answer is option 'C'. Can you explain this answer?
Question Description
The mean weight of a class of 34 students is 46.5 kg. If the weight of the teacher is included, the mean rises by 500g. Then the weight of the teacher is _____.a)175 kgb)62 kgc)64 kgd)72 kgCorrect answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The mean weight of a class of 34 students is 46.5 kg. If the weight of the teacher is included, the mean rises by 500g. Then the weight of the teacher is _____.a)175 kgb)62 kgc)64 kgd)72 kgCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean weight of a class of 34 students is 46.5 kg. If the weight of the teacher is included, the mean rises by 500g. Then the weight of the teacher is _____.a)175 kgb)62 kgc)64 kgd)72 kgCorrect answer is option 'C'. Can you explain this answer?.
The mean weight of a class of 34 students is 46.5 kg. If the weight of the teacher is included, the mean rises by 500g. Then the weight of the teacher is _____.a)175 kgb)62 kgc)64 kgd)72 kgCorrect answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The mean weight of a class of 34 students is 46.5 kg. If the weight of the teacher is included, the mean rises by 500g. Then the weight of the teacher is _____.a)175 kgb)62 kgc)64 kgd)72 kgCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean weight of a class of 34 students is 46.5 kg. If the weight of the teacher is included, the mean rises by 500g. Then the weight of the teacher is _____.a)175 kgb)62 kgc)64 kgd)72 kgCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The mean weight of a class of 34 students is 46.5 kg. If the weight of the teacher is included, the mean rises by 500g. Then the weight of the teacher is _____.a)175 kgb)62 kgc)64 kgd)72 kgCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of The mean weight of a class of 34 students is 46.5 kg. If the weight of the teacher is included, the mean rises by 500g. Then the weight of the teacher is _____.a)175 kgb)62 kgc)64 kgd)72 kgCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The mean weight of a class of 34 students is 46.5 kg. If the weight of the teacher is included, the mean rises by 500g. Then the weight of the teacher is _____.a)175 kgb)62 kgc)64 kgd)72 kgCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The mean weight of a class of 34 students is 46.5 kg. If the weight of the teacher is included, the mean rises by 500g. Then the weight of the teacher is _____.a)175 kgb)62 kgc)64 kgd)72 kgCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The mean weight of a class of 34 students is 46.5 kg. If the weight of the teacher is included, the mean rises by 500g. Then the weight of the teacher is _____.a)175 kgb)62 kgc)64 kgd)72 kgCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The mean weight of a class of 34 students is 46.5 kg. If the weight of the teacher is included, the mean rises by 500g. Then the weight of the teacher is _____.a)175 kgb)62 kgc)64 kgd)72 kgCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup