JEE Main 2020MathematicsStatisticsCalculation Of Standard Deviation Variance And Mean Deviation Of Grouped And Ungrouped DatamediumMCQ

JEE Main 2020Statistics Question with Solution

From: JEE Main 2020 (Online) 4th September Morning Slot

Question

The mean and variance of 8 observations are 10 and 13.5, respectively. If 6 of these observations are 5, 7, 10, 12, 14, 15, then the absolute difference of the remaining two observations is :

Choose an option

Show full solutionCorrect option: C
Correct answer
C7

Step-by-step explanation

Let the two remaining observations be x and y.



....(1)



....(2)

From (1) and (2)

(x, y) = (12, 5) or (5, 12)

So

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About this question

This is a previous-year question from JEE Main 2020, 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.