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(B) First,we calculate the mean $(\bar{X})$ of the distribution: $C$.$I$.$f_i$Mid value $(x_i)$$f_i x_i$$75$-$175$$3$$125$$375$$175$-$275$$2$$225$$450

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$\frac{400 \sqrt{6}}{17}$

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(B) First,we calculate the mean $(\bar{X})$ of the distribution: $C$.$I$.$f_i$Mid value $(x_i)$$f_i x_i$$75$-$175$$3$$125$$375$$175$-$275$$2$$225$$450$$275$-$375$$1$$325$$325$$375$-$475$$0$$425$$0$$475$-$575$$1$$525$$525$$575$-$675$$2$$625$$1250$$675$-$775$$3$$725$$2175$Total$\sum f_i = 12$-$\sum f_i x_i = 5100$The mean is $\bar{X} = \frac{\sum f_i x_i}{\sum f_i} = \frac{5100}{12} = 425$.Given the variance $\sigma^2 = 60000$,the standard deviation is $\sigma = \sqrt{60000} = 100 \sqrt{6}$.The coefficient of variation $(CV)$ is given by the formula: $CV = \frac{\sigma}{\bar{X}} 	imes 100$.$CV = \frac{100 \sqrt{6}}{425} 	imes 100 = \frac{400 \sqrt{6}}{17}$.

Classes	$0-30$	$30-60$	$60-90$	$90-120$	$120-150$	$150-180$	$180-210$
$f_i$	$2$	$3$	$5$	$10$	$3$	$5$	$2$

Class Interval	$0$-$5$	$5$-$10$	$10$-$15$	$15$-$20$	$20$-$25$
Frequency	$4$	$1$	$10$	$3$	$2$

Consider the following frequency distribution:
$C$.$I$. $75$-$175$ $175$-$275$ $275$-$375$ $375$-$475$ $475$-$575$ $575$-$675$ $675$-$775$
$f_i$ $3$ $2$ $1$ $0$ $1$ $2$ $3$
If the variance of this distribution is $60000$,then the coefficient of variation of the distribution is:

Similar Questions

Find the mean and variance for the following frequency distribution:

Classes $0-30$ $30-60$ $60-90$ $90-120$ $120-150$ $150-180$ $180-210$

$f_i$ $2$ $3$ $5$ $10$ $3$ $5$ $2$

Find the mean and variance of the frequency distribution given below:
$\begin{array}{|l|l|l|l|l|} \hline x & 1 \leq x < 3 & 3 \leq x < 5 & 5 \leq x < 7 & 7 \leq x < 10 \\ \hline f & 6 & 4 & 5 & 1 \\ \hline \end{array}$

For the following frequency distribution,the variance is approximately equal to
Class Interval $0$-$5$ $5$-$10$ $10$-$15$ $15$-$20$ $20$-$25$
Frequency $4$ $1$ $10$ $3$ $2$

Let $n$ observations $x_1, x_2, ....., x_n$ be such that $\sum {x_i}^2 = 400$ and $\sum x_i = 80$. Then,which of the following is a possible value for $n$?

If $\sum_{i=1}^{5}(x_i-10)=5$ and $\sum_{i=1}^{5}(x_i-10)^2=5$,then the standard deviation of the observations $2x_1 + 7, 2x_2 + 7, 2x_3 + 7, 2x_4 + 7,$ and $2x_5 + 7$ is equal to-

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$C$.$I$.	$75$-$175$	$175$-$275$	$275$-$375$	$375$-$475$	$475$-$575$	$575$-$675$	$675$-$775$
$f_i$	$3$	$2$	$1$	$0$	$1$	$2$	$3$

Consider the following frequency distribution: $C$.$I$.$75$-$175$$175$-$275$$275$-$375$$375$-$475$$475$-$575$$575$-$675$$675$-$775$$f_i$$3$$2$$1$$0$$1$$2$$3$If the variance of this distribution is $60000$,then the coefficient of variation of the distribution is: