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The variance of the first 50 even natura...

The variance of the first 50 even natural numbers is

A

437

B

`(437)/(4)`

C

`(833)/(4)`

D

833

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The correct Answer is:
D
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Statement - I : The variance of first n even natural numbers is (n^(2) - 1)/(4) Statement - II : The sum of first n natural numbers is (n(n+1))/(2) and the sum of the squares of first n natural numbers is (n(n+1)(2n+1))/(6)

The sum of the first 20 even natural numbers is

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DIPTI PUBLICATION ( AP EAMET)-MEASURES OF DISPERSION-EXERCISE-1
  1. Variance of 5, 8, 11, 9, 8, 19 is

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  2. The variance of 6, 7, 10, 12, 13, 4, 8, 12 is

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  3. The variance of the first 50 even natural numbers is

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  4. Standard deviation of 3, 5, 7, 9, 11, 13 is

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  5. The standard deviation of 5, 12, 3, 18, 6, 8, 2, 10 is

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  6. Standard deviation of 27, 35, 40, 35, 36, 29 is

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  7. Standard deviation of first 'n' natural numbers is

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  8. The standard deviation of a, a+d, a + 2d,….a + 2nd is

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  9. If the median of the data 6, 7, x-2, x, 18, 21 written in ascending or...

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  10. The variance of the following data is

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  11. The variance of the following data is

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  12. The standard deviation of the following data is

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  13. The mean and variance of seven observations are 8 and 16 respectively....

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  14. The mean of 5 observations is 4.4 and their variance is 8.24. If three...

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  15. The arithmetic mean of the observations 10, 8, 5, a, b is 6 and their ...

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  16. The variance of 20 observations is 5. If each observations is multipli...

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  17. The mean of four observations is 3. If the sum of the squares of these...

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  18. If x(1), x(2),…..x(n) are n observations such that Sigmax(i)^(2)=400 a...

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  19. In 100 numbers, 80 numbers are 4's and the rest are 9's then the stand...

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  20. If the standard deviation of the number 2, 3, a and 11 is 3.5, then wh...

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