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The standard deviation of a, a+d, a + 2d...

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

A

nd

B

`n^(2)d`

C

`(sqrt(n(n+1)))/(3)d`

D

`(sqrt(n(n+3)))/(3)d`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-MEASURES OF DISPERSION-EXERCISE-1
  1. Standard deviation of 27, 35, 40, 35, 36, 29 is

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

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

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

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  5. The variance of the following data is

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  6. The variance of the following data is

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  7. The standard deviation of the following data is

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

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

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

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

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

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

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

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

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  16. The mean of the data set comprising of 16 observations is 16. If one o...

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  17. The mean and standard deviation of 100 observations were calculated as...

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  18. The arithmetic mean and standard deviation of a set of 9 items are 43 ...

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  19. All the student of a class performed poorly in Mathematics. The teache...

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  20. The measure of dispersion which is used to find more consistent data i...

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