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Byju's Answer
Standard X
Mathematics
Finding Median of Grouped Data When Class Intervals Are Not Given
The observati...
Question
The observations 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 are arranged in ascending order. What is the value of x if the median of the data is 63?
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Solution
If number of observations is even, then the median will be the average of
n
2
th and the
n
2
+
1
th observations.
In the given case, n = 10
⇒
n
2
th
=
5
th
and
n
2
+
1
th
=
6
th
observation.
Thus,
63
=
x
+
x
+
2
2
⇒
126
=
2
x
+
2
⇒
124
=
2
x
⇒
x
=
62
Thus, the value of x is 62.
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Similar questions
Q.
The following observations have been arranged in ascending order, if the median of data is
63
.
Find the value of
x
:
29
,
32
,
48
,
50
,
x
,
x
+
2
,
72
,
78
,
84
,
95
Q.
The observations
29
,
32
,
48
,
50
,
x
,
x
+
2
,
72
,
78
,
84
,
95
are arranged in ascending order and their median is
63
, then the value of
x
is
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Standard X Mathematics
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