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Statement - I : The variance of first n ...

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)`

A

Statement-I is true, Statement-II is true, Statement -II is not a correct explanation for statement - I

B

Statement-I is true, Statement-II is false

C

Statement-I is false, Statement-II is true

D

Statement-I is true, Statement-II is true, Statement -II is a correct explanation for statement - I

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-MEASURES OF DISPERSION (STATISTICS)-Exercise - II
  1. The starting value of the model class of a distribution is 20. The fre...

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  2. If M(g,x) is the geometric mean of N x's and M(g,y) is the geometric m...

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  3. If the Arithmetic mean and Geometrical mean of three numbers are equal...

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  4. A car completes the first half of its journey with a velocity V(1) and...

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  5. An automobile driver travels from plane to a hill station 120 Km dista...

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  6. A cyclist covers his first three miles at an average speed of 8 m.p.h....

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  7. If the mean deviation of the number 1, 1+d, 1+2d,….,1+100 d from their...

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  8. The sum of 10 items is 12 and sum of their squares is 18, then standar...

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  9. In a series of 2n observatiobs, half of them equal to a and remaining ...

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  10. If sum(i=1)^(18) (x(i) - 8) = 9 and sum(i=1)^(18) (x(i) - 8)^(2) = 45...

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  11. Mean of 40 terms is 25 and S.D. is 4, then find the sum of the squares...

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  12. Let x(1), x(2),…,x(n) be n observations such that sum x(i)^(2) = 400 a...

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  13. In an experiment with 15 observations on a, the following results were...

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  14. If a variable takes the values 0, 1, 2,…,n with frequencies proporiotn...

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  15. Suppose a population A has 100 observations 101, 102,… 20, and another...

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  16. The marks of some students were listed out of 75. The S.D. marks was f...

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  17. Statement - I : The variance of first n even natural numbers is (n^(2)...

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  18. All the students of a class performed poorly in Mathematics. The teach...

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  19. The arithmetic mean of the observation 10,8,5,a,b is 6 and their varia...

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  20. If the median of the data 6,7,x-2,18,21 written in ascending order is ...

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