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Find the mean and variance of first n na...

Find the mean and variance of first n natural numbers .

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The correct Answer is:
`=(n^(2)-1)/(12)`
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NEW JOYTHI PUBLICATION-STATISTICS-QUESTIONS FROM COMPETITIVE EXAMS
  1. Find the mean and variance of first n natural numbers .

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  2. The mean mark in Statistics of 100 students in a class was 72 .The mea...

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  3. If the mean of numbers 27+x,156+x " is "82, then the mean of 130 +x,1...

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  4. If mu us the mean of distribution {y(1),f(1)}, then sumf(1)(i(1)-mu) ...

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  5. A batsman score runs in 10 innings 38,70,48,34,42,55,63,46,54 and 44. ...

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  6. The average weight of students in a class of 35 students is 40 kgs . I...

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  7. Standard deviation of the first 2n+1 natural numbers is equal to

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  8. Mean marks scored by the students of a class is 53. The mean mark of t...

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  9. The average monthly salary of workers in a factory is Rs.206 . If the ...

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  10. For the arithmetic progression a,(a+d),(a+2d),(a+3d),......,(a+2nd), t...

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  11. The standard deviation of n obervations x(1),x(2).....,x(n) is 2. If s...

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  12. The standard deviation of the numbers 31,32,33, ……., 46,47 is

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  13. The standard deviation for the scores 1,2,3,4,5,6, and 77 is 2. Then ...

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  14. If the variance of 1,2,3,4,5 , …., 10 is (99)/(12), then the standard ...

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  15. If ""^(n)C(8)=""^(n)C(2), find ""^(n)C(2).

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  16. The arithmetic mean of 7 consecutive integers starting with 'a' is m. ...

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  17. The mean and variance of n observations x(1),x(2),x(3),...x(n) are 5 a...

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  18. If the standard deviation of 3,8,6,10,12,9,11,10,12,7 is 2.71 , then t...

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  19. The A.M of 9 terms is 15. If one more term is added to this series , ...

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  20. If the average of the numbers 1,2,3,…., 98,99,x is 100x, then the valu...

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  21. If the median of (x)/(5),x,(x)/(4),(x)/(2),(x)/(3)(xgt0) is 8, then t...

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