First slide
Introduction to statistics
Question

 For (2n+1) observations x1,x1,x2,x2,,xn,xn and 0 ,  

whereall x 's are distinct, let SD and MD denote the  standard deviation

and median respectively. Then which  of the following is always true? 

Easy
Solution

on arranging the given observations in ascending order, we get 

 All negative terms O(n+1)th  term  All positive terms 

Median of given observations = (n + 1) th term = 0 

SD>MD

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