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) =
=
= 13.5
∴ M.D. about median =
| x i − M | =
× 28 = 2.33
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) =
10 | 11 | 11 | 12 | 13 | 13 | 14 | 16 | 16 | 17 | 17 | 18 | Total | |
| 3.5 | 2.5 | 2.5 | 1.5 | 0.5 | 0.5 | 0.5 | 2.5 | 2.5 | 3.5 | 3.5 | 4.5 | 28 |
∴ M.D. about median =
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