Calculate the coefficient of variation for the following distribution.
Marks $(x)$ $10$ $20$ $30$ $40$ $50$
Number of students $(f)$ $4$ $3$ $6$ $5$ $2$

34.48

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12.48

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43.48

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None of these

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Solution

The correct option is C $43.48$
$¯ X = \frac{\sum f x}{\sum f} = \frac{580}{20} = 29$
Standard deviation $= \sqrt{\frac{\sum (x - ¯ X)^{2} f}{\sum f}}$
$= \sqrt{\frac{3180}{20}}$
$= 12.61$
Coefficient of variation $= \frac{s t a n d a r d d e v i a t i o n}{m e a n} \times 100$
$= \frac{12.61}{29} \times 100$
$= 43.48$

Suggest Corrections

Marks	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
Number of stu.	$20$	$24$	$40$	$36$	$20$

Age	20−30	30−40	40−50	50−60	60−70	70−80	80−90
Number of Students	3	61	132	153	140	51	2

Marks $(x)$	$10$	$20$	$30$	$40$	$50$
Number of students $(f)$	$4$	$3$	$6$	$5$	$2$

Marks (more than)	0	10	20	30	40	50	60	70
No. of students	100	90	75	50	20	10	5	0