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?
SD < MD
SD > MD
SD = MD
None of these
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