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The variance of observation x(1), x(2),x...

The variance of observation `x_(1), x_(2),x_(3),…,x_(n)` is `sigma^(2)` then the variance of
`alpha x_(1), alpha x_(2), alpha x_(3),….,alpha x_(n), (alpha != 0)` is

A

`sigma^(2)`

B

`alpha sigma^(2)`

C

`alpha^(2) sigma^(2)`

D

`(sigma^(2))/(alpha^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-MEASURES OF DISPERSION (STATISTICS)-Exercise - I
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  2. The standard deviation of 26, 27, 31, 32, 35 is

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

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  4. The variance of first 10 multiples of 3 is

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

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

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

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

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

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

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

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

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  13. One of the methods of determining mode is

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

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

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

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

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  18. i. Mean = a (3 median - mode) II. Mean - Mode = b(Mean - Median) (...

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  19. Observe the following statements : (A) : The median of 100 items is ...

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  20. Two teams A and B have the same mean and their coefficients of varianc...

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