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Standard XII
Mathematics
Question
Find the mean deviation about the median for the data
13
,
17
,
16
,
14
,
11
,
13
,
10
,
16
,
11
,
18
,
12
,
17
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Solution
Verified by Toppr
Given: 13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 19
n = 12
median =
6
t
h
o
b
s
+
7
t
h
o
b
s
2
=
13
+
14
2
=
27
2
=
13.5
mean deviation about median
=
(
110
−
13.51
+
111.13.51
+
111
−
13.51
+
112
−
13.51
+
113
−
13.51
+
113
−
13.51
+
114
−
13.51
+
116
−
13.5
+
116
−
13.51
+
117
−
13.51
+
117
−
13.51
+
118
−
13.51
)
12
=
3.5
+
2.5
+
2.5
+
1.5
+
0.5
+
0.5
+
0.5
+
2.5
+
2.5
+
3.5
+
3.5
+
4.5
12
=
28
12
=
2.23
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