Statistics And Probability Question 408
For $ ( 2n+1 ) $ observations $ x_1, x_1^{-}, x_2, x_2^{-}, \ldots, 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?
Options:
A) SD>MD
B) SD<MD
C) SD=MD
D) Nothing can be said in general about the relationship between SD and MD
Show Answer
Answer:
Correct Answer: B
Solution:
[b] on arranging the given observations in ascending order, we get All negative terms $ \underbrace{O} _{{{(n+1)}^{th}}term} $ all positive terms Median of given observations $ =(n+1) $ th term=0
$ \therefore ,SD>MD $
BETA
