The arithmetic mean of marks in Mathematics f | vedclass

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(B) To determine which division has more uniformity,we calculate the Coefficient of Variation ($C$.$V$.) for each division. The formula for $C$.$V$. i

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$B$

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(B) To determine which division has more uniformity,we calculate the Coefficient of Variation ($C$.$V$.) for each division. The formula for $C$.$V$. is $	ext{C.V.} = \frac{	ext{Standard Deviation}}{	ext{Mean}} 	imes 100$. $A$ lower $C$.$V$. indicates greater uniformity.\ For division $A$: $	ext{C.V.}_A = \frac{12}{80} = 0.15$ or $15\%$.\ For division $B$: $	ext{C.V.}_B = \frac{6}{75} = 0.08$ or $8\%$.\ For division $C$: $	ext{C.V.}_C = \frac{8}{70} \approx 0.114$ or $11.4\%$.\ For division $D$: $	ext{C.V.}_D = \frac{10}{72} \approx 0.139$ or $13.9\%$.\ Since the $C$.$V$. is the least for division $B$,it has the most uniformity.

The arithmetic mean of marks in Mathematics for four divisions $A, B, C$ and $D$ were $80, 75, 70$ and $72$ respectively. Their standard deviations were $12, 6, 8$ and $10$ respectively. Then,which division has more uniformity?

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