JEE Main 2003MathematicsStatisticsCalculation Of Standard Deviation Variance And Mean Deviation Of Grouped And Ungrouped DatamediumMCQ

JEE Main 2003Statistics Question with Solution

From: AIEEE 2003

Question

In an experiment with 15 observations on , then following results were available:
,
One observation that was 20 was found to be wrong and was replaced by the correct value 30. Then the corrected variance is :

Choose an option

Show full solutionCorrect option: D
Correct answer
D78.00

Step-by-step explanation

Given that,

N = 15,

As, 20 was replaced by 30 then,



and

So, the corrected variance









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 2003, 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.