$For (2 n + 1) observations x_{1}, - x_{1}, x_{2}, - x_{2}, \dots, x_{n}, - x_{n} and 0,$
$where all x's are distinct, let SD and MD denote the standard deviation$
$and median respectively. Then which of the following is always true?$

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

SD < MD

SD > MD

SD = MD

None of these

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

on arranging the given observations in ascending order, we get

$All negative terms \underset{(n + 1)^{th} term}{\underset{⏟}{O}} All positive terms$

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

$∴ SD > MD$

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE