If the variance of $6, 7, 8, 9, 10, 11$ is $\sigma^2$,then the variance of $12, 14, 16, 18, 20, 22$ is

  • A
    $2 \sigma^2$
  • B
    $4 \sigma^2$
  • C
    $100 + 2 \sigma^2$
  • D
    $100 + 4 \sigma^2$

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If the mean of $10$ observations is $50$ and the sum of the squares of the deviations of the observations from the mean is $250$,then the coefficient of variation of those observations is

The standard deviation of the numbers $22, 26, 28, 20, 24, 30$ is

The mean of two samples of size $200$ and $300$ were found to be $25$ and $10$ respectively. Their standard deviations $(S.D.)$ are $3$ and $4$ respectively. Then,the variance of the combined sample of size $500$ is:

The standard deviation of the following distribution is:
$C$.$I$.$0$ - $6$$6$ - $12$$12$ - $18$
f_i$2$$4$$6$

For a data consisting of $15$ observations $x_i$,$i=1, 2, 3, \ldots, 15$,the following results are obtained: $\sum_{i=1}^{15} x_i = 170$ and $\sum_{i=1}^{15} x_i^2 = 2830$. If one of the observations,namely $20$,was found to be wrong and was replaced by its correct value $30$,then the corrected variance is:

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