If the standard deviation of data is $12$ and mean is $72$,then the coefficient of variation is: (in $\%$)

  • A
    $15.67$
  • B
    $14.67$
  • C
    $13.67$
  • D
    $16.67$

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Let $x_1, x_2, x_3, \dots, x_n$ be $n$ observations,$\bar{x}$ be their arithmetic mean,and $\sigma^2$ be their variance.
Statement $-1$: The variance of observations $2x_1, 2x_2, 2x_3, \dots, 2x_n$ is $4\sigma^2$.
Statement $-2$: The arithmetic mean of $2x_1, 2x_2, 2x_3, \dots, 2x_n$ is $4\bar{x}$.

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The variance of the first $10$ multiples of $3$ is:

Let the mean and the variance of $6$ observations $a, b, 68, 44, 48, 60$ be $55$ and $194$,respectively. If $a > b$,then the value of $a + 3b$ is:

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

Calculate the mean,variance,and standard deviation for the following distribution.
Classes $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ $80-90$ $90-100$
Frequency $({f_i})$ $3$ $7$ $12$ $15$ $8$ $3$ $2$

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