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Question

Number of goals scored by Ronaldo in champions league for past 10 years are as follows. {1, 3, 8, 4, 7, 6, 10, 12, 17, 10} Find the mean deviation about the mean.


A

3

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B

3.6

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C

4

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D

3.4

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Solution

The correct option is B

3.6


Mean of the given observations = 1+3+8+4+7+6+10+12+17+1010

¯x = 7810 = 7.8

Absolute deviation of the given observations = {6.8,4.8,0.2,3.8,0.8,1.8,2.2,4.2,9.2,2.2}

10i=1|xi7.8| = 6.8 + 4.8 + 0.2 + 3.8 + 0.8 + 1.8 +2.2 + 4.2 + 9.2 + 2.2 = 36

Therefore mean deviation = 10i=1|xi7.8|10

= 3610 = 3.6


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