In a class, the number of students securing marks less than 50 is 20 and securing marks less than 60 is 31. If the median class is 50 - 60, find the frequency of the class.
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Answer:
Total number of students=n=50
2
n
=
2
50
=25,
As 25<31,
So 30−40 is the median class.
l is the lower limit of median class, so l=30
h is the size of class interval, so h=40−30=10
f is the frequency of median class, so f=16
F is the cumulative frequency of class preceding the median class, so F=15
Median=l+(
f
2
n
−F
)×h
Median=30+(
16
2
50
−15
)×10
Median=30+(
16
10
)×10
Median=30+(
16
100
)
Median=36.25
Hence, the median is=36.25
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