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UPSC NDA Math Model Paper 1
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© examsnet.com
Question : 48
Total: 120
Find the mean deviation about the median for the following data 6, 3, 4, 9, 2, 7 and 11.
1.89
2.57
3.14
6.23
Validate
Solution:
Arrange data in ascending order –
2, 3, 4, 6, 7, 9, 11
No. of observation n = 7 (odd)
Median will be
(
n
+
1
2
)
th term i.e.
4
th
term
=
6
.
Mean deviation about their median
M
is given by
M
.
D
(
M
)
=
x
i
−
M
|
n
Here,
M
=
6
M
.
D
(
M
)
=
|
2
−
6
|
+
|
3
−
6
|
+
|
4
−
6
|
+
|
6
−
6
|
+
|
7
−
6
|
+
|
9
−
6
|
+
|
11
−
6
|
7
M
.
D
(
M
)
=
18
7
=
2.57
© examsnet.com
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