NCERT Class XI Mathematics - Statistics - Solutions

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Question : 3
Total: 34
13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17
Solution:  
Arranging the data in ascending order,
we have
10, 11, 11, 12, 13, 13, 14, 16, 16, 17, 17, 18
Here n = 12 (which is even)
So median is the average of 6th and 7th observations
∴ Median (M) =
13+14
2
=
27
2
= 13.5
xi 10 1111121313 14 16 16 1717 18Total
|xi13.5|3.5 2.5 2.5 1.5 0.50.50.5 2.5 2.5 3.5 3.5 4.5 28

∴ M.D. about median =
1
n
n
Σ
i=1
|xiM
|
=
1
12
× 28 = 2.33
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