The following data have been arranged in ascending order of magnitude. 63, 66, 69, x, x + 2, 76, 89 and 103. If the median of the given data is 71, find the value of ′x′.
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Answer:
The following data have been arranged in ascending order of magnitude.
63
,
66
,
69
,
x
,
x
+
2
,
76
,
89
and
103
.
If the median of the given data is
71
, find the value of
x
.
A
60
B
69
C
70
DNone of these
Solution
median of the data:
63
,
66
,
69
,
x
,
x
+
2
,
76
,
89
,
103
is
71
The number of observations in the data are 8. Hence, the median will be the mean of
3
r
d
term and
4
t
h
term,
Thus,
x
+
x
+
2
2
=
71
⇒
2
x
+
2
=
142
⇒
x
=
70
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