If $S_1$ and $S_2$ are the variances of the first $2k$ and $k$ $(k > 1)$ natural numbers respectively,then $(S_1 / S_2)$ lies in the interval

  • A
    $[4, \infty)$
  • B
    $(1, 4]$
  • C
    $(4, 5]$
  • D
    $[7, \infty)$

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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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The variance of $\alpha$,$\beta$,and $\gamma$ is $9$. Then,the variance of $5\alpha$,$5\beta$,and $5\gamma$ is:

The variance of the following data is:
$x_i$ $6$ $10$ $14$ $18$ $24$ $28$ $30$
$f_i$ $2$ $4$ $7$ $12$ $8$ $4$ $3$

If $1$ is added to each of the first $10$ natural numbers,then the variance of the numbers so obtained is:

For $20$ observations of variable $x$,if $\sum(x_{i}-2)=20$ and $\sum(x_{i}-2)^2=100$,then the standard deviation of variable $x$ is

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