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Question

Number of goals scored by Ramos in the past 10 years is as follows: {1, 1, 6, 9, 8, 12, 14, 8, 8, 10}.
The mean deviation about the median is

A
2.8
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B
2.9
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C
3
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D
3.1
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Solution

The correct option is B 2.9

First we have to calculate the median of the goals.
Arranging the given values, we get,
1, 1, 6, 8, 8, 8, 9, 10, 12, 14,

5th and 6th values are 8 and 8.

Therefore, median = 8+82 = 8 = M
Absolute deviations respectively are {7,7,2,1,0,4,6,0,0,2}

=10i=1|xiM| = 7+7+2+1+0+4+6+0+0+2 = 29

MD(M)=10i=1|xiM|10=2910=2.9


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