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There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be – 3.5. The mean of the given number is
- a)47.5
- b)52.5
- c)56.5
- d)49.5
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
There are 50 numbers. Each number is subtracted from 53 and the mean o...
Total numbers =50
Mean of numbers after subtracting 53 from each =3.5
Sum of numbers after subtracting 53 from each =3.5×50=175
Sum of the original numbers =175+53×50=2825
Mean of the original numbers =2825/50=56.5
Mean of numbers after subtracting 53 from each =3.5
Sum of numbers after subtracting 53 from each =3.5×50=175
Sum of the original numbers =175+53×50=2825
Mean of the original numbers =2825/50=56.5
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Community Answer
There are 50 numbers. Each number is subtracted from 53 and the mean o...
29. What is the mean of the original 50 numbers?
Let's call the original 50 numbers x1, x2, x3,...,x50.
We know that when each number is subtracted from 53, the resulting numbers have a mean of 29. This means that:
(53 - x1) + (53 - x2) + (53 - x3) + ... + (53 - x50)
has a mean of 29. We can simplify this expression by distributing the 53's and factoring out a -1:
(53 + 53 + 53 + ... + 53) - (x1 + x2 + x3 + ... + x50)
has a mean of 29. The first part simplifies to:
53 x 50 = 2650
So we have:
2650 - (x1 + x2 + x3 + ... + x50)
has a mean of 29.
We can now use the formula for the mean of a set of numbers:
mean = (sum of numbers) / (number of numbers)
to find the sum of the x's. We know that there are 50 x's, and we can rearrange the equation above to get:
sum of x's = 2650 - 29 x 50 = 1350
Now we can find the mean of the x's using the formula:
mean = (sum of numbers) / (number of numbers)
mean = 1350 / 50 = 27
So the mean of the original 50 numbers is 27.
Let's call the original 50 numbers x1, x2, x3,...,x50.
We know that when each number is subtracted from 53, the resulting numbers have a mean of 29. This means that:
(53 - x1) + (53 - x2) + (53 - x3) + ... + (53 - x50)
has a mean of 29. We can simplify this expression by distributing the 53's and factoring out a -1:
(53 + 53 + 53 + ... + 53) - (x1 + x2 + x3 + ... + x50)
has a mean of 29. The first part simplifies to:
53 x 50 = 2650
So we have:
2650 - (x1 + x2 + x3 + ... + x50)
has a mean of 29.
We can now use the formula for the mean of a set of numbers:
mean = (sum of numbers) / (number of numbers)
to find the sum of the x's. We know that there are 50 x's, and we can rearrange the equation above to get:
sum of x's = 2650 - 29 x 50 = 1350
Now we can find the mean of the x's using the formula:
mean = (sum of numbers) / (number of numbers)
mean = 1350 / 50 = 27
So the mean of the original 50 numbers is 27.
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There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be – 3.5. The mean of the given number isa)47.5b)52.5c)56.5d)49.5Correct answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be – 3.5. The mean of the given number isa)47.5b)52.5c)56.5d)49.5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be – 3.5. The mean of the given number isa)47.5b)52.5c)56.5d)49.5Correct answer is option 'C'. Can you explain this answer?.
There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be – 3.5. The mean of the given number isa)47.5b)52.5c)56.5d)49.5Correct answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be – 3.5. The mean of the given number isa)47.5b)52.5c)56.5d)49.5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be – 3.5. The mean of the given number isa)47.5b)52.5c)56.5d)49.5Correct answer is option 'C'. Can you explain this answer?.
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There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be – 3.5. The mean of the given number isa)47.5b)52.5c)56.5d)49.5Correct answer is option 'C'. Can you explain this answer?, a detailed solution for There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be – 3.5. The mean of the given number isa)47.5b)52.5c)56.5d)49.5Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be – 3.5. The mean of the given number isa)47.5b)52.5c)56.5d)49.5Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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