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The median of the following data is
Marks obtained No. of students
less than 20 0
less than 30 4
less than 40 16
less than 50 30
less than 60 46
less than 70 66
less than 80 82
less than 90 92
less than 100 100

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answer is A.

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Detailed Solution

$C . I$	$f$	$C . f$
10-20	0	0
20-30	4	4
30-40	12	16
40-50	14	30
50-60	16	46
60-70	20	66
70-80	16	82
80-90	10	92
90-100	8	100

$N = \sum f_{i} = 100, \frac{N}{2} = \frac{100}{2} = 50 l = 60, F = 46, f = 20, h = 10$

Median $= l + (\frac{\frac{N}{2} + F}{f}) h$

$= 60 + (\frac{50 - 46}{20}) \times 10 = 60 + 2 = 62$

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