આવુતિ વિતરણ

X
c
2c
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Question

$x$
			$C$
			$2C$
			$3C$
			$4C$
			$5C$
			$6C$
		
		
			$f$
			$2$
			$1$
			$1$
			$1$
			$1$
			$1$
		
	


$\bar

Vedclass · Accepted Answer

$7$

Vedclass · Answer

$x$
			$C$
			$2C$
			$3C$
			$4C$
			$5C$
			$6C$
		
		
			$f$
			$2$
			$1$
			$1$
			$1$
			$1$
			$1$
		
	


$\bar{x}=\frac{(2+2+3+4+5+6) C}{7}=\frac{22 C}{7}$

$ \operatorname{Var}(\mathrm{x})=\frac{\mathrm{c}^2\left(2+2^2+3^2+4^2+5^2+6^2ight)}{7} $

$ -\left(\frac{22 c}{7}ight)^2 $

$ =\frac{92 c^2}{7}-\mathrm{c}^2 	imes \frac{484}{49} $

$ =\frac{(644-484) c^2}{49}=\frac{160 c^2}{49} $

$ 160=\frac{160 	imes c^2}{49} \Rightarrow c=7$

$X_i$	$2$	$3$	$4$	$5$	$6$	$7$	$8$
Frequency $f_i$	$3$	$6$	$16$	$\alpha$	$9$	$5$	$6$

$\mathrm{x}$	$\mathrm{x}_{1}=2$	$\mathrm{x}_{2}=6$	$\mathrm{x}_{3}=8$	$\mathrm{x}_{4}=9$
$\mathrm{f}$	$4$	$4$	$\alpha$	$\beta$

આવુતિ વિતરણ

$X$ $c$ $2c$ $3c$ $4c$ $5c$ $6c$

$f$ $2$ $1$ $1$ $1$ $1$ $1$

નુંવિચરણ જો $160$ હોય તો $\mathrm{c} \in \mathrm{N}$ નું મૂલ્ય ............ છે.

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જો આવૃત્તિ વિતરણ

$X_i$ $2$ $3$ $4$ $5$ $6$ $7$ $8$

Frequency $f_i$ $3$ $6$ $16$ $\alpha$ $9$ $5$ $6$

નું વિચરણ $3$ હોય, તો $\alpha=..............$

$2, 4, 6, 8, 10$ નું વિચરણ શોધો.

આવુતિ વિતરણ $X$ $c$ $2c$ $3c$ $4c$ $5c$ $6c$ $f$ $2$ $1$ $1$ $1$ $1$ $1$ નુંવિચરણ જો $160$ હોય તો $\mathrm{c} \in \mathrm{N}$ નું મૂલ્ય ............ છે.

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જો આવૃત્તિ વિતરણ $X_i$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ Frequency $f_i$ $3$ $6$ $16$ $\alpha$ $9$ $5$ $6$ નું વિચરણ $3$ હોય, તો $\alpha=..............$

$2, 4, 6, 8, 10$ નું વિચરણ શોધો.

આવુતિ વિતરણ

$X$ $c$ $2c$ $3c$ $4c$ $5c$ $6c$

$f$ $2$ $1$ $1$ $1$ $1$ $1$

નુંવિચરણ જો $160$ હોય તો $\mathrm{c} \in \mathrm{N}$ નું મૂલ્ય ............ છે.

જો આવૃત્તિ વિતરણ

$X_i$ $2$ $3$ $4$ $5$ $6$ $7$ $8$

Frequency $f_i$ $3$ $6$ $16$ $\alpha$ $9$ $5$ $6$

નું વિચરણ $3$ હોય, તો $\alpha=..............$