NCERT Class XI Mathematics - Statistics - Solutions

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Question : 4
Total: 34
36, 72, 46, 42, 60, 45, 53, 46, 51, 49
Solution:  
Arranging the data in ascending order,
we have 36, 42, 45, 46, 46, 49, 51, 53, 60, 72
Here n = 10 (which is even)
So median is the average of 5th and 6th observations
Median (M) =
46+49
2
=
95
2
= 47.5
xi 36 4245464649 51 53 60 72Total
|xi47.5|11.5 5.5 2.5 1.5 1.51.53.5 5.5 12.5 24.5 70

∴ M.D. about median =
1
n
n
Σ
i=1
|xiM
|
=
1
10
× 70 = 7
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