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Question
Mathematics
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 ?
Q. 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
?
1513
217
Statistics
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A
61
15%
B
62
33%
C
62.5
36%
D
63
15%
Solution:
Given observations are
29
,
32
,
48
,
50
,
x
,
x
+
2
,
72
,
78
,
84
,
95.
Number of observations
=
10
As per definition
=
2
value of
5
th term
+
value of
6
th term
=
2
x
+
x
+
2
=
2
2
(
x
+
1
)
=
x
+
1
But Median
=
63
, is given.
So,
63
=
x
+
1
⇒
x
=
62