Class 9 Exam > Class 9 Questions > The mean of six numbers is 23. If one of the ...
Start Learning for Free
The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers becomes 20. The excluded number is
- a)37
- b)39
- c)38
- d)36
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The mean of six numbers is 23. If one of the numbers is excluded, the ...
The mean of the six numbers is 23.
So the sum of six numbers is 23 x 6 = 138
After excluding one number, the mean of the remaining numbers is 20.
So the sum of five numbers is 20 x 5 = 100
The difference between them is
138 - 100 = 38
So the sum of six numbers is 23 x 6 = 138
After excluding one number, the mean of the remaining numbers is 20.
So the sum of five numbers is 20 x 5 = 100
The difference between them is
138 - 100 = 38
Most Upvoted Answer
The mean of six numbers is 23. If one of the numbers is excluded, the ...
Mean of the six numbers:
Let's assume the six numbers to be a, b, c, d, e, and f.
According to the given information, the mean of these six numbers is 23. Mathematically, we can represent this as:
(a + b + c + d + e + f) / 6 = 23
Mean of the remaining five numbers:
Now, let's assume that one of the numbers, say f, is excluded. The mean of the remaining five numbers becomes 20. Mathematically, we can represent this as:
(a + b + c + d + e) / 5 = 20
Finding the value of the excluded number:
To find the value of the excluded number, we need to solve the two equations simultaneously.
Step 1:
We can rewrite the first equation as:
a + b + c + d + e + f = 6 * 23
a + b + c + d + e + f = 138 ----(1)
Step 2:
Next, we can rewrite the second equation as:
a + b + c + d + e = 5 * 20
a + b + c + d + e = 100 ----(2)
Step 3:
Now, subtract equation (2) from equation (1) to eliminate the common terms:
a + b + c + d + e + f - (a + b + c + d + e) = 138 - 100
f = 38
Therefore, the excluded number is 38. Hence, the correct answer is option C.
Let's assume the six numbers to be a, b, c, d, e, and f.
According to the given information, the mean of these six numbers is 23. Mathematically, we can represent this as:
(a + b + c + d + e + f) / 6 = 23
Mean of the remaining five numbers:
Now, let's assume that one of the numbers, say f, is excluded. The mean of the remaining five numbers becomes 20. Mathematically, we can represent this as:
(a + b + c + d + e) / 5 = 20
Finding the value of the excluded number:
To find the value of the excluded number, we need to solve the two equations simultaneously.
Step 1:
We can rewrite the first equation as:
a + b + c + d + e + f = 6 * 23
a + b + c + d + e + f = 138 ----(1)
Step 2:
Next, we can rewrite the second equation as:
a + b + c + d + e = 5 * 20
a + b + c + d + e = 100 ----(2)
Step 3:
Now, subtract equation (2) from equation (1) to eliminate the common terms:
a + b + c + d + e + f - (a + b + c + d + e) = 138 - 100
f = 38
Therefore, the excluded number is 38. Hence, the correct answer is option C.
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Top Courses for Class 9View all
The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers becomes 20. The excluded number isa)37b)39c)38d)36Correct answer is option 'C'. Can you explain this answer?
Question Description
The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers becomes 20. The excluded number isa)37b)39c)38d)36Correct answer is option 'C'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers becomes 20. The excluded number isa)37b)39c)38d)36Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers becomes 20. The excluded number isa)37b)39c)38d)36Correct answer is option 'C'. Can you explain this answer?.
The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers becomes 20. The excluded number isa)37b)39c)38d)36Correct answer is option 'C'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers becomes 20. The excluded number isa)37b)39c)38d)36Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers becomes 20. The excluded number isa)37b)39c)38d)36Correct answer is option 'C'. Can you explain this answer?.
Solutions for The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers becomes 20. The excluded number isa)37b)39c)38d)36Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers becomes 20. The excluded number isa)37b)39c)38d)36Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers becomes 20. The excluded number isa)37b)39c)38d)36Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers becomes 20. The excluded number isa)37b)39c)38d)36Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers becomes 20. The excluded number isa)37b)39c)38d)36Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers becomes 20. The excluded number isa)37b)39c)38d)36Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup