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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	$20$	$25$	$23$	$27$
$S$.$D$.	$3$	$2$	$4$	$5$

Class Interval	$0-10$	$10-20$	$20-30$	$30-40$
Frequency	$2$	$3$	$4$	$1$

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

If $x_1, x_2, ..., x_n$ are $n$ observations such that $\sum_{i=1}^n x_i^2 = 400$ and $\sum_{i=1}^n x_i = 100$,then which of the following is a possible value of $n$?

The frequency distribution is given below:
$\begin{array}{|l|l|l|l|l|l|l|} \hline X & 2 & 3 & 4 & 5 & 6 & 7 \\ f & 4 & 9 & 16 & 14 & 11 & 6 \\ \hline \end{array}$
Find the standard deviation.

The variance of the following continuous frequency distribution is
Class Interval $0-10$ $10-20$ $20-30$ $30-40$
Frequency $2$ $3$ $4$ $1$

The variance of the first $n$ natural numbers is

If each of the observations $x_{1}, x_{2}, \ldots, x_{n}$ is increased by $a$,where $a$ is a positive or negative number,show that the variance remains unchanged.

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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$