Statistics And Probability Question 422
Question: For (2n+1) observations $ x_1,,-x_1 $ , $ x_2,,-x_2,,…..x_{n},,-x_{n} $ and 0 where x?s are all distinct. Let S.D. and M.D. denote the standard deviation and median respectively. Then which of the following is always true
[Orissa JEE 2002]
Options:
A) S.D. < M.D.
B) S.D. > M.D.
C) S.D. = M.D.
D) Nothing can be said in general about the relationship of S.D. and M.D.
Show Answer
Answer:
Correct Answer: B
Solution:
On arranging the given observations in ascending order, we get All negative terms $ \underbrace{O_{{{(n+1)}^{th}}term}} $ All positive terms The median of given observations $ ={{(n+1)}^{th}} $ term = 0 \ S. D. > M .D.
BETA
