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The mean marks obtained by 300 students in a subject are 60. The mean of top 100 students was found to be 80 and the mean of last 100 students was found to be 50. The mean marks of the remaining 100 students are
- a)70
- b)65
- c)60
- d)50
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The mean marks obtained by 300 students in a subject are 60. The mean ...
Since the mean marks obtained by 300 students in a subject are 60;
∴ Sum of marks of 300 students = 300 × 60 = 18000
Mean of top 100 students was found to be 80;
∴ Sum of marks of top 100 students = 100 × 80 = 8000
Mean of last 100 students was found to be 50;
∴ Sum of marks of last 100 students = 100 × 50 = 5000
∴ Sum of marks of remaining 100 students = 18000 - 5000 - 8000 = 5000
∴ Mean of remaining 100 students = 5000/100 = 50
Most Upvoted Answer
The mean marks obtained by 300 students in a subject are 60. The mean ...
Given:
- Total number of students = 300
- Mean marks of all 300 students = 60
- Mean marks of top 100 students = 80
- Mean marks of last 100 students = 50
To find:
- Mean marks of the remaining 100 students
Approach:
To find the mean marks of the remaining 100 students, we need to subtract the mean marks of the top 100 students and the mean marks of the last 100 students from the mean marks of all 300 students.
Solution:
Step 1: Calculate the sum of marks of all 300 students:
Sum of marks of all 300 students = Mean marks x Total number of students
= 60 x 300
= 18000
Step 2: Calculate the sum of marks of the top 100 students:
Sum of marks of top 100 students = Mean marks of top 100 students x Total number of top students
= 80 x 100
= 8000
Step 3: Calculate the sum of marks of the last 100 students:
Sum of marks of last 100 students = Mean marks of last 100 students x Total number of last students
= 50 x 100
= 5000
Step 4: Calculate the sum of marks of the remaining 100 students:
Sum of marks of remaining 100 students = Sum of marks of all 300 students - Sum of marks of top 100 students - Sum of marks of last 100 students
= 18000 - 8000 - 5000
= 5000
Step 5: Calculate the mean marks of the remaining 100 students:
Mean marks of remaining 100 students = Sum of marks of remaining 100 students / Total number of remaining students
= 5000 / 100
= 50
Conclusion:
Therefore, the mean marks of the remaining 100 students is 50. Hence, the correct answer is option 'D'.
- Total number of students = 300
- Mean marks of all 300 students = 60
- Mean marks of top 100 students = 80
- Mean marks of last 100 students = 50
To find:
- Mean marks of the remaining 100 students
Approach:
To find the mean marks of the remaining 100 students, we need to subtract the mean marks of the top 100 students and the mean marks of the last 100 students from the mean marks of all 300 students.
Solution:
Step 1: Calculate the sum of marks of all 300 students:
Sum of marks of all 300 students = Mean marks x Total number of students
= 60 x 300
= 18000
Step 2: Calculate the sum of marks of the top 100 students:
Sum of marks of top 100 students = Mean marks of top 100 students x Total number of top students
= 80 x 100
= 8000
Step 3: Calculate the sum of marks of the last 100 students:
Sum of marks of last 100 students = Mean marks of last 100 students x Total number of last students
= 50 x 100
= 5000
Step 4: Calculate the sum of marks of the remaining 100 students:
Sum of marks of remaining 100 students = Sum of marks of all 300 students - Sum of marks of top 100 students - Sum of marks of last 100 students
= 18000 - 8000 - 5000
= 5000
Step 5: Calculate the mean marks of the remaining 100 students:
Mean marks of remaining 100 students = Sum of marks of remaining 100 students / Total number of remaining students
= 5000 / 100
= 50
Conclusion:
Therefore, the mean marks of the remaining 100 students is 50. Hence, the correct answer is option 'D'.
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Community Answer
The mean marks obtained by 300 students in a subject are 60. The mean ...
Since the mean marks obtained by 300 students in a subject are 60;
∴ Sum of marks of 300 students = 300 × 60 = 18000
Mean of top 100 students was found to be 80;
∴ Sum of marks of top 100 students = 100 × 80 = 8000
Mean of last 100 students was found to be 50;
∴ Sum of marks of last 100 students = 100 × 50 = 5000
∴ Sum of marks of remaining 100 students = 18000 - 5000 - 8000 = 5000
∴ Mean of remaining 100 students = 5000/100 = 50
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The mean marks obtained by 300 students in a subject are 60. The mean of top 100 students was found to be 80 and the mean of last 100 students was found to be 50. The mean marks of the remaining 100 students area)70b)65c)60d)50Correct answer is option 'D'. Can you explain this answer?
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The mean marks obtained by 300 students in a subject are 60. The mean of top 100 students was found to be 80 and the mean of last 100 students was found to be 50. The mean marks of the remaining 100 students area)70b)65c)60d)50Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The mean marks obtained by 300 students in a subject are 60. The mean of top 100 students was found to be 80 and the mean of last 100 students was found to be 50. The mean marks of the remaining 100 students area)70b)65c)60d)50Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean marks obtained by 300 students in a subject are 60. The mean of top 100 students was found to be 80 and the mean of last 100 students was found to be 50. The mean marks of the remaining 100 students area)70b)65c)60d)50Correct answer is option 'D'. Can you explain this answer?.
The mean marks obtained by 300 students in a subject are 60. The mean of top 100 students was found to be 80 and the mean of last 100 students was found to be 50. The mean marks of the remaining 100 students area)70b)65c)60d)50Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The mean marks obtained by 300 students in a subject are 60. The mean of top 100 students was found to be 80 and the mean of last 100 students was found to be 50. The mean marks of the remaining 100 students area)70b)65c)60d)50Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean marks obtained by 300 students in a subject are 60. The mean of top 100 students was found to be 80 and the mean of last 100 students was found to be 50. The mean marks of the remaining 100 students area)70b)65c)60d)50Correct answer is option 'D'. Can you explain this answer?.
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The mean marks obtained by 300 students in a subject are 60. The mean of top 100 students was found to be 80 and the mean of last 100 students was found to be 50. The mean marks of the remaining 100 students area)70b)65c)60d)50Correct answer is option 'D'. Can you explain this answer?, a detailed solution for The mean marks obtained by 300 students in a subject are 60. The mean of top 100 students was found to be 80 and the mean of last 100 students was found to be 50. The mean marks of the remaining 100 students area)70b)65c)60d)50Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of The mean marks obtained by 300 students in a subject are 60. The mean of top 100 students was found to be 80 and the mean of last 100 students was found to be 50. The mean marks of the remaining 100 students area)70b)65c)60d)50Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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