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UPSC CDS Math Statistics Questions
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© examsnet.com
Question : 42
Total: 63
Suppose
x
i
=
1
i
for
i
=
1
,
2
,
3
,
.
.
.11
.
Which one of the following is not correct?
[2016 CDS-I]
AM >1/6
GM >1/6
HM >1/6
Median = HM
Validate
Solution:
The data set is
1
,
1
2
,
1
3
,
1
4
,
1
5
,
1
6
,
1
7
,
1
8
,
1
9
,
1
10
,
1
11
Number of observations, n = 11 (odd)
Therefore, median
=
(
11
+
1
2
)
th
observation = 6th observation
=
1
6
H
M
=
11
∑
i
=
1
11
1
(
1
i
)
=
11
∑
i
=
1
11
i
=
11
1
+
2
+
3
+
.
.
.
+
11
=
11
11
×
(
11
+
1
)
2
=
1
6
But in option (c) it is given
H
M
>
1
6
which is wrong.
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