JEE Main 2022MathematicsStatisticsCalculation Of Standard Deviation Variance And Mean Deviation Of Grouped And Ungrouped DatamediumMCQ

JEE Main 2022 — Statistics Question with Solution

From: JEE Main 2022 (Online) 26th June Evening Shift

Question

The mean and standard deviation of 50 observations are 15 and 2 respectively. It was found that one incorrect observation was taken such that the sum of correct and incorrect observations is 70. If the correct mean is 16, then the correct variance is equal to :

Choose an option

Show full solutionCorrect option: C
Correct answer
C43

Step-by-step explanation

Given

Let a be the correct observation and b is the incorrect observation

then

and

Correct variance

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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.