નીચે આપેલ માહિતી માટે પ્રમાણિત વિચલન શોધો :&n | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

Let us form the following Table :


	
		
			${x_i}$
			${f_i}$
			${f_i}{x_i}$
			${x_i}^2$
			${f_i}{x_i}^2$
		
		
			$3$
			$7$
			$21

Vedclass · Accepted Answer

$6.12$

Vedclass · Answer

Let us form the following Table :


	
		
			${x_i}$
			${f_i}$
			${f_i}{x_i}$
			${x_i}^2$
			${f_i}{x_i}^2$
		
		
			$3$
			$7$
			$21$
			$9$
			$63$
		
		
			$8$
			$10$
			$80$
			$64$
			$640$
		
		
			$13$
			$15$
			$195$
			$169$
			$2535$
		
		
			$18$
			$10$
			$180$
			$324$
			$3240$
		
		
			$23$
			$6$
			$138$
			$529$
			$3174$
		
		
			 
			$48$
			$614$
			 
			$9652$
		
	


Now, by formula $(3),$ we have

$\sigma  = \frac{1}{N}\sqrt {N\sum {{f_i}x_i^2 - {{\left( {\sum {{f_i}{x_i}} } ight)}^2}} } $

$=\frac{1}{48} \sqrt{48 	imes 9652-(614)^{2}}$

$=\frac{1}{48} \sqrt{463296-376996}$

$=\frac{1}{48} 	imes 293.77=6.12$

Therefore, Standard deviation $(c)=6.12$

નીચે આપેલ માહિતી માટે પ્રમાણિત વિચલન શોધો :

${x_i}$ $3$ $8$ $13$ $18$ $25$

${f_i}$ $7$ $10$ $15$ $10$ $6$

Similar Questions

${x_i}$	${f_i}$	${f_i}{x_i}$	${x_i}^2$	${f_i}{x_i}^2$
$3$	$7$	$21$	$9$	$63$
$8$	$10$	$80$	$64$	$640$
$13$	$15$	$195$	$169$	$2535$
$18$	$10$	$180$	$324$	$3240$
$23$	$6$	$138$	$529$	$3174$
	$48$	$614$		$9652$

નીચે આપેલ માહિતી માટે પ્રમાણિત વિચલન શોધો : ${x_i}$ $3$ $8$ $13$ $18$ $25$ ${f_i}$ $7$ $10$ $15$ $10$ $6$

Similar Questions

નીચે આપેલ માહિતી માટે પ્રમાણિત વિચલન શોધો :

${x_i}$ $3$ $8$ $13$ $18$ $25$

${f_i}$ $7$ $10$ $15$ $10$ $6$