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The average weight of students in a class of 35 students is 40 kg. If the weight of the teacher be included, the average rises by (1/2) kg ; the weight of the teacher is
- a)40.5 kg
- b)50 kg
- c)41 kg
- d)58 kg
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The average weight of students in a class of 35 students is 40 kg. If ...
Understanding the Problem
To find the weight of the teacher, we start with the information given about the students' weights and how the teacher's weight affects the average.
Given Data
- Number of students = 35
- Average weight of students = 40 kg
- Average weight with teacher included = 40.5 kg
Calculating Total Weight of Students
- Total weight of students = Average weight × Number of students
= 40 kg × 35 = 1400 kg
Calculating Total Weight with Teacher
- With the teacher, the total number of individuals = 35 students + 1 teacher = 36
- New average weight = 40.5 kg
- Total weight with teacher = New average weight × Total individuals
= 40.5 kg × 36 = 1458 kg
Finding the Teacher's Weight
- Weight of the teacher = Total weight with teacher - Total weight of students
= 1458 kg - 1400 kg = 58 kg
Conclusion
The weight of the teacher is 58 kg, which corresponds to option 'D'. This problem illustrates the effect of adding an individual's weight on the overall average, showing how averages can shift with new data points.
To find the weight of the teacher, we start with the information given about the students' weights and how the teacher's weight affects the average.
Given Data
- Number of students = 35
- Average weight of students = 40 kg
- Average weight with teacher included = 40.5 kg
Calculating Total Weight of Students
- Total weight of students = Average weight × Number of students
= 40 kg × 35 = 1400 kg
Calculating Total Weight with Teacher
- With the teacher, the total number of individuals = 35 students + 1 teacher = 36
- New average weight = 40.5 kg
- Total weight with teacher = New average weight × Total individuals
= 40.5 kg × 36 = 1458 kg
Finding the Teacher's Weight
- Weight of the teacher = Total weight with teacher - Total weight of students
= 1458 kg - 1400 kg = 58 kg
Conclusion
The weight of the teacher is 58 kg, which corresponds to option 'D'. This problem illustrates the effect of adding an individual's weight on the overall average, showing how averages can shift with new data points.
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The average weight of students in a class of 35 students is 40 kg. If the weight of the teacher be included, the average rises by (1/2) kg ; the weight of the teacher isa)40.5 kgb)50 kgc)41 kgd)58 kgCorrect answer is option 'D'. Can you explain this answer? for JEE 2026 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The average weight of students in a class of 35 students is 40 kg. If the weight of the teacher be included, the average rises by (1/2) kg ; the weight of the teacher isa)40.5 kgb)50 kgc)41 kgd)58 kgCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average weight of students in a class of 35 students is 40 kg. If the weight of the teacher be included, the average rises by (1/2) kg ; the weight of the teacher isa)40.5 kgb)50 kgc)41 kgd)58 kgCorrect answer is option 'D'. Can you explain this answer?.
The average weight of students in a class of 35 students is 40 kg. If the weight of the teacher be included, the average rises by (1/2) kg ; the weight of the teacher isa)40.5 kgb)50 kgc)41 kgd)58 kgCorrect answer is option 'D'. Can you explain this answer? for JEE 2026 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The average weight of students in a class of 35 students is 40 kg. If the weight of the teacher be included, the average rises by (1/2) kg ; the weight of the teacher isa)40.5 kgb)50 kgc)41 kgd)58 kgCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average weight of students in a class of 35 students is 40 kg. If the weight of the teacher be included, the average rises by (1/2) kg ; the weight of the teacher isa)40.5 kgb)50 kgc)41 kgd)58 kgCorrect answer is option 'D'. Can you explain this answer?.
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