Calculate median from the following series.
mid point-
5
25
35
45
55
frequency-
15
12
12
18
20
10
Answers
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1
Answer:
Rent (in Rs.) (x) No. of houses (f) C.F.
15-25 8 8
25-35 10 18
35-45 15 33
45-55 25 58
55-65 40 98
65-75 20 118
75-85 15 133
85-95 7 140
N = 140
As, N=140⇒
2
N
=
2
140
=70
As 98 is just greater than 70, therefore median class is 55−65.
Median=l+
f
2
N
+C
×h
Here,l= lower limit of median class =55
C=C.F. of the class preceding the median class =58
h= higher limit - lower limit =65−55=10
f=frequency of median class =40
∴median=55+
40
70−58
×10=55+3=58
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