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If sum(i=1)^9 (xi - 5) = 9 and sum(i=1)...

If `sum_(i=1)^9 (x_i - 5) = 9` and `sum_(i=1)^9 (x_i - 5)^2 = 45.` The standard deviation of the observations `x_1, x_2,………,x_9` is ………….

A

9

B

4

C

2

D

3

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Let x_1,x_2, x_3, x_4, x_5 be the observations with mean m and standard deviation S. The standard deviation of the observations kx_1,kx_2,kx_3,kx_4,kx_5 is ……….

    A
    `|k| + S `
    B
    `(S)/(|k|)`
    C
    `|k|. S`
    D
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  • The standard deviation for the following data is n = 10 , sum x = 60, sum x^2 = 1000

    A
    8
    B
    64
    C
    24
    D
    128

  • x_1,x_2, x_3,………., x_n are n observations . sum_(i=1)^(n) (x_i - 2) = 100 " and " sum_(i=1)^(n) (x_i - 5) = 20 then mean barx = …….

    A
    `23/4`
    B
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    C
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    D
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