Question

The median of the following data is Class-Intervals 0-20 20-40 40-60 60-80 80-100 Frequency 8 9 10 5 4.​

Answer 1

ClassInterval Frequency c.f.

0−20 6 6

20−40 8 14

40−60 10 24

60−80 12 36

80−100 6 42

100−120 5 47

120−140 3 50

N=50

Here, N=50, then

2

N

=

2

50

=25

∴ Median class =60−80

We have, l=60,c.f=24,f=12 and h=20

Median=l+

f

2

N

−c.f

×h

=60+

12

25−24

×20

=60+1.66

=61.66

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