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The variance of the first 50 even natura...

The variance of the first 50 even natural numbers is

A

`833//4`

B

833

C

437

D

`437//4`

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The correct Answer is:
B
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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

Sum of the first 10 natural numbers is

The variance of first 20 - natural numbers is

The A.M of first n natural numbers is

The sum of first 50 even numbers is

AAKASH SERIES-MEASURES OF DISPERSION (STATISTICS)-Exercise - I
  1. If the mean of 10 observations is 50 and the sum of the squares of the...

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

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

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  4. The median and S.D. of a distribution are 20 and 4 respetively. If eah...

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  5. The standard deviation of 26, 27, 31, 32, 35 is

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

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  7. The variance of first 10 multiples of 3 is

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  8. For a group of 50 male workers, the mean and S.D. of their daily wages...

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  9. If standard deviation of 1,2,3,4,….,10 is sigma then standard deviatio...

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  10. The standard deviation of a variable x is sigma. The standard deviatio...

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  11. The variance of observation x(1), x(2),x(3),…,x(n) is sigma^(2) then t...

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  12. The standard deviations of two sets containing 10 and 20 members are 2...

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  13. The standard deviation of the observations 22, 26, 28, 20, 24, 30 is

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  14. The mean of five observations is 4 and their variance is 5.2. If three...

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  15. Which of the following is correct relations a symmetrical distribution...

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  16. One of the methods of determining mode is

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  17. Which of the following is correct for data -1, 0, 1,2,3,5,5,6,8,10,11

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  18. If m is mean of distribution, then sum(x(i) - m) is equal to

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  19. Consider the following statements : (i) Mode can be computed from hi...

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  20. Match the correct parts to make a valid statement The correct mat...

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