First slide
Introduction to statistics
Question

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

Moderate
Solution

On arranging the given observations in ascending order, we get

All negative terms 0(n+1)th  term All positive terms

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

 SD>MD 

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