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Given number of students =50

Step 1:

For mathematics, Given mean =42

Standard deviation =12

coefficient of variation $=\large\frac{\sigma}{\bar{x}}$$ \times 100$

$\qquad= \large\frac{12}{42} $$ \times 100$

$\qquad= \large\frac{1200}{42}$

$\qquad= 28.57$

Step 2:

For physics, Given mean =32

Standard deviation =15

coefficient of variation $=\large\frac{\sigma}{\bar{x}}$$ \times 100$

$\qquad= \large\frac{15}{32} $$ \times 100$

$\qquad= \large\frac{1500}{32}$

$\qquad= 46.87$

Step 3:

For chemistry, Given mean =40.9

Standard deviation =20

coefficient of variation $=\large\frac{\sigma}{\bar{x}}$$ \times 100$

$\qquad= \large\frac{20}{40.9} $$ \times 100$

$\qquad= \large\frac{2000}{40.9}$

$\qquad= 48.89$

COMPARISON :

As we know that higher the coefficient of variation, higher is the variability

CV of chemistry is highest and CV of mathematics is least.

$\therefore$ Chemistry shows the highest variability and mathematics shows the least variability.

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