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(C) We know that the Coefficient of Variation ($C$.$V$.) is given by the formula:$C.V. = \frac{	ext{Standard Deviation}}{	ext{Mean}} 	imes 100$Calc

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Biology

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(C) We know that the Coefficient of Variation ($C$.$V$.) is given by the formula:$C.V. = \frac{	ext{Standard Deviation}}{	ext{Mean}} 	imes 100$Calculating the $C$.$V$. for each subject:$1. (C.V.)_{	ext{Physics}} = \frac{3}{20} = 0.15$$2. (C.V.)_{	ext{Chemistry}} = \frac{2}{25} = 0.08$$3. (C.V.)_{	ext{Mathematics}} = \frac{4}{23} \approx 0.174$$4. (C.V.)_{	ext{Biology}} = \frac{5}{27} \approx 0.185$Comparing the values,the highest variability is observed in Biology since it has the highest Coefficient of Variation $(0.185)$.

	Physics	Chemistry	Mathematics	Biology
Mean	$20$	$25$	$23$	$27$
$S$.$D$.	$3$	$2$	$4$	$5$

$X$	$35$	$54$	$52$	$53$	$56$	$58$	$52$	$50$	$51$	$49$
$Y$	$108$	$107$	$105$	$105$	$106$	$107$	$104$	$103$	$104$	$101$

$X$	$5$	$6$	$7$	$8$	$10$
Frequency	$3$	$7$	$4$	$2$	$4$

The following table shows the information about marks obtained in Physics,Chemistry,Mathematics,and Biology by $100$ students in a class. Which subject shows the highest variability in marks?
Physics Chemistry Mathematics Biology
Mean $20$ $25$ $23$ $27$
$S$.$D$. $3$ $2$ $4$ $5$

Similar Questions

From the prices of shares $X$ and $Y$ below,find out which is more stable in value:

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The standard deviation of $7$ observations $1, 2, 3, 4, 5, 6, 7$ is:

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The following table shows the information about marks obtained in Physics,Chemistry,Mathematics,and Biology by $100$ students in a class. Which subject shows the highest variability in marks?PhysicsChemistryMathematicsBiologyMean$20$$25$$23$$27$$S$.$D$.$3$$2$$4$$5$