આપેલ પ્રત્યેક માહિતી માટે મધ્યક અને વિચરણ શોધ | vedclass

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Question

The data is obtained in tabular form as follows.


	
		
			${x_i}$
			${f_i}$
			${f_i}{x_i}$
			${{x_i} - \bar x}$
			${\left( {{x_i} - \bar

Vedclass · Accepted Answer

$29.09$

Vedclass · Answer

The data is obtained in tabular form as follows.


	
		
			${x_i}$
			${f_i}$
			${f_i}{x_i}$
			${{x_i} - \bar x}$
			${\left( {{x_i} - \bar x} ight)^2}$
			${f_i}{\left( {{x_i} - \bar x} ight)^2}$
		
		
			$92$
			$3$
			$276$
			$-8$
			$64$
			$192$
		
		
			$93$
			$2$
			$186$
			$-7$
			$49$
			$98$
		
		
			$97$
			$3$
			$291$
			$-3$
			$9$
			$27$
		
		
			$98$
			$2$
			$196$
			$-2$
			$4$
			$8$
		
		
			$102$
			$6$
			$612$
			$2$
			$4$
			$24$
		
		
			$104$
			$3$
			$312$
			$4$
			$16$
			$48$
		
		
			$109$
			$3$
			$327$
			$9$
			$81$
			$243$
		
		
			 
			$22$
			$2200$
			 
			 
			$640$
		
	


Here,    $N = 22,\sum\limits_{i = 1}^7 {{f_i}{x_i}}  = 2200$

$	herefore \bar x = \frac{1}{n}\sum\limits_{i = 1}^7 {{f_i}{x_i}}  = \frac{1}{{22}} 	imes 2200 = 100$

Variance $\left( {{\sigma ^2}} ight) = \frac{1}{N}\sum\limits_{i = 1}^7 {{f_i}{{\left( {{x_i} - \bar x} ight)}^2} = } \frac{1}{{22}} 	imes 640 = 29.09$

આપેલ પ્રત્યેક માહિતી માટે મધ્યક અને વિચરણ શોધો :

${x_i}$ $92$ $93$ $97$ $98$ $102$ $104$ $109$

${f_i}$ $3$ $2$ $3$ $2$ $6$ $3$ $3$

Similar Questions

${x_i}$	$92$	$93$	$97$	$98$	$102$	$104$	$109$
${f_i}$	$3$	$2$	$3$	$2$	$6$	$3$	$3$

${x_i}$	${f_i}$	${f_i}{x_i}$	${{x_i} - \bar x}$	${\left( {{x_i} - \bar x} \right)^2}$	${f_i}{\left( {{x_i} - \bar x} \right)^2}$
$92$	$3$	$276$	$-8$	$64$	$192$
$93$	$2$	$186$	$-7$	$49$	$98$
$97$	$3$	$291$	$-3$	$9$	$27$
$98$	$2$	$196$	$-2$	$4$	$8$
$102$	$6$	$612$	$2$	$4$	$24$
$104$	$3$	$312$	$4$	$16$	$48$
$109$	$3$	$327$	$9$	$81$	$243$
	$22$	$2200$			$640$

આપેલ પ્રત્યેક માહિતી માટે મધ્યક અને વિચરણ શોધો : ${x_i}$ $92$ $93$ $97$ $98$ $102$ $104$ $109$ ${f_i}$ $3$ $2$ $3$ $2$ $6$ $3$ $3$

Similar Questions

આપેલ પ્રત્યેક માહિતી માટે મધ્યક અને વિચરણ શોધો :

${x_i}$ $92$ $93$ $97$ $98$ $102$ $104$ $109$

${f_i}$ $3$ $2$ $3$ $2$ $6$ $3$ $3$