JEE Main 2022 — Statistics Question with Solution
From: JEE Main 2022 (Online) 27th July Morning Shift
Question
The mean and variance of 10 observations were calculated as 15 and 15 respectively by a student who took by mistake 25 instead of 15 for one observation. Then, the correct standard deviation is _____________.
Enter your answer
Show full solutionCorrect answer: 2
Step-by-step explanation
Given ..... (1)
and
Replacing 25 by 15 we get
Correct mean
Similarly,
Correct variance
Correct .
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 2022, 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.