Given n numbers, nandgt;l, of which, one is 1-1/n and all other are ls. Then mean of the andlsquo;nandrsquo; numbers isa)1-1/n2b)1c)n-1/n2d)n-1/nCorrect answer is option 'A'. Can you explain this answer?

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Given n numbers, n>l, of which, one is 1-1/n and all other are l's. Then mean of the ‘n’ numbers is

a)
1-1/n²
b)
1
c)
n-1/n²
d)
n-1/n

Correct answer is option 'A'. Can you explain this answer?

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Given n numbers, n>l, of which, one is 1-1/n and all other are l...

Understanding the Problem
You have 'n' numbers where one number is 1 - 1/n and the rest are all 1. The goal is to find the mean of these numbers.
Calculating the Mean
The mean is calculated by summing all the numbers and dividing by the total count of numbers, which is 'n' in this case.
Step-by-Step Calculation
- The one special number is:
- 1 - 1/n
- The other (n-1) numbers are all:
- 1
- Now, let's sum these numbers:
- Total sum = (1 - 1/n) + (n - 1) * 1
- Total sum = (1 - 1/n) + (n - 1)
- Total sum = n - 1/n + 1
- Total sum = n - 1/n + 1 = n + 1 - 1/n
- Now, calculate the mean:
- Mean = Total sum / n
- Mean = (n + 1 - 1/n) / n
- Mean = n/n + 1/n - 1/n^2
- Mean = 1 + 1/n - 1/n^2
This simplifies to:
- Mean = 1 - 1/n^2
Conclusion
Thus, the mean of the 'n' numbers is indeed:
- 1 - 1/n^2
Therefore, the correct answer is option 'A'.

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Given n numbers, n>l, of which, one is 1-1/n and all other are l's. Then mean of the ‘n’ numbers isa)1-1/n2b)1c)n-1/n2d)n-1/nCorrect answer is option 'A'. Can you explain this answer?

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Given n numbers, n>l, of which, one is 1-1/n and all other are l's. Then mean of the ‘n’ numbers isa)1-1/n2b)1c)n-1/n2d)n-1/nCorrect answer is option 'A'. Can you explain this answer? for Teaching 2025 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about Given n numbers, n>l, of which, one is 1-1/n and all other are l's. Then mean of the ‘n’ numbers isa)1-1/n2b)1c)n-1/n2d)n-1/nCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Teaching 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given n numbers, n>l, of which, one is 1-1/n and all other are l's. Then mean of the ‘n’ numbers isa)1-1/n2b)1c)n-1/n2d)n-1/nCorrect answer is option 'A'. Can you explain this answer?.

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