JEE Main 2018 — Statistics Question with Solution
From: JEE Main 2018 (Offline)
Question
If and
, then the standard deviation of the 9 items
is
, then the standard deviation of the 9 items
is
Choose an option
Show full solutionCorrect option: D
Correct answer
D2
Step-by-step explanation
IMPORTANT POINT :-
When every number is added or subtracted by a fixed number then the standard Deviation remain unchanged.
so let
So, new equation is
and
As, we know. Standard Deviation (S.D)
When every number is added or subtracted by a fixed number then the standard Deviation remain unchanged.
so let
So, new equation is
and
As, we know. Standard Deviation (S.D)
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Statistics chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2018, covering the Statistics chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.