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Byju's Answer
Standard X
Mathematics
Finding Median for Grouped Data When Class Intervals Are Given
Calculate the...
Question
Calculate the missing frequency from the following distribution, it being given that the median of the distribution is
24
.
Age in years
0-10
10-20
20-30
30-40
40-50
No. of persons
5
25
?
18
7
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Solution
Let the missing frequency be
x
.
Age in years
(x)
No. of persons
(f)
C.F.
0-10
5
5
10-20
25
30
20-30
x
30
+
x
30-40
18
48
+
x
40-50
7
55
+
x
N
=
55
+
x
As,
N
=
55
+
x
⇒
N
2
=
55
+
x
2
M
e
d
i
a
n
=
l
+
N
2
+
C
f
×
h
As
m
e
d
i
a
n
is given
24
, therefore median class is
20
−
30.
Therefore,
l
=
lower limit of median class
=
20
C
=
C
.
F
.
of the class preceding the median class
=
30
h
=
higher limit - lower limit
=
40
−
30
=
10
f
=
frequency of median class
=
x
∴
m
e
d
i
a
n
=
20
+
55
+
x
2
−
30
x
×
10
24
=
20
+
x
−
5
2
x
×
10
4
=
x
−
5
x
×
5
⇒
4
x
=
5
x
−
25
⇒
x
=
25
Hence, the missing frequency is
25.
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Similar questions
Q.
Calculate the missing frequency from the following distribution, it being given that the median of the distribution is 24.
Age in years:
0−10
10−20
20−30
30−40
40−50
No. of persons:
5
25
?
18
7