median for the following CI 0.02 10-20 20-30 30-40 40-50 frequency 5 27 25 18 7
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Given :
Class interval | Frequency
0 - 10 5
10 - 20 27
20 - 30 25
30 - 40 18
40 - 50 7
Formula :
Median = l + ( n / 2 - cf ) / f × h
Solution :
Cumulative frequency
5
32
57
75
82
Therefore ,,,,,
Median class : 20 - 30
l = 20
n / 2 = 82 / 2 = 41
cf = 32
f = 25
h = 10
Median = 20 + ( 41 - 32 ) / 25 × 10
= 20 + 90 / 25
= 20 + 18 / 5
= 100 + 18 / 5
= 118 / 5
= 23 . 6
Median = 23 . 6
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