Find the missing frequencies if N=100 and median is 30. marks obtained-0-10, 10-20, 20-30, 30-40, 40-50, 50-60, total no. of students-10 ,? ,25 ,30 ,? ,10 ,100.
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Explanation:
class f cf
0-10 10 10
10-20 x 10+x
20-30 25 35+x
30-40 30 65+x
40-50 y 65+x+y
50-60 10 75+x+y
75+x+y
75+x+y=100
x+y=25
f=30,h=10,cf=35+x,
2
n
=50
Median=l+(
f
2
n
−cf
)×h
32=(
30
50−35−x
)×10
32−30=
3
15−x
6=15−x
x=9
∴y=16
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