1.

For (2n+1) observations x_(1), x_(2),-x_(2),..,x_(n),-x_(n) and 0, where all x's are distinct, let SD and MD denote the standard deviation and median, respectively. Then which of the following is always true ?

Answer»

`SD lt MD`
`SD GT MD`
SD=MD
Nothing can be said in general about the relationship between SD and MD

Solution :On ARRANGING the given observations in ascending order, we get All NEGATIVE terms `ubrace("0")_((n+1)^(th)"term")` All positive terms
Median of given observations =(n+1)th term=0
`therefore SD gt MD`


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