If $\sum_{i = 1}^9 (x_i - 5) = 9$ and $\sum_{i = 1}^9 (x_i - 5)^2 = 45$,then the standard deviation of the $9$ items $x_1, x_2, ..., x_9$ is:

  • A
    $4$
  • B
    $2$
  • C
    $3$
  • D
    $9$

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Similar Questions

The mean and variance of a series of $5$ observations are $8$ and $24$ respectively. The mean and variance of another series of $3$ observations are $8$ and $24$ respectively. What is the variance of their combined series?

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Find the variance of the following data:
Size $(x_i)$ $3.5$ $4.5$ $5.5$ $6.5$ $7.5$ $8.5$ $9.5$
Frequency $(f_i)$ $3$ $7$ $22$ $60$ $85$ $32$ $8$

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The sum and sum of squares corresponding to length $x$ (in $cm$) and weight $y$ (in $gm$) of $50$ plant products are given below:
$\sum\limits_{i = 1}^{50} {{x_i} = 212, \sum\limits_{i = 1}^{50} {x_i^2} = 902.8, \sum\limits_{i = 1}^{50} {{y_i} = 261, \sum\limits_{i = 1}^{50} {y_i^2 = 1457.6} } }$
Which is more varying,the length or weight?

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The coefficient of variation of the following distribution is
Class interval$0-5$$5-10$$10-15$$15-20$$20-25$
Frequency$4$$1$$10$$3$$2$

If each of given $n$ observations is multiplied by a certain positive number $k$,then for the new set of observations -

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