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Question

The minimum value of |x6|+|x+3|+|x8|+|x+4|+|x3| is 


Solution

Minimum value of |x6|+|x+3|+|x8|+|x+4|+|x3| i.e.
Sum of  absolute values of deviations of observation x will be minimum, when it's value is taken about median of observations 4,3,3,6,8
Median =3
So after substituting x=3 in |x6|+|x+3|+|x8|+|x+4|+|x3|
We get |36|+|3+3|+|38|+|3+4|+|33|
=3+6+5+7+0=21

Mathematics

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