JEE Main 2010MathematicsStatisticsCalculation Of Standard Deviation Variance And Mean Deviation Of Grouped And Ungrouped DatamediumMCQ

JEE Main 2010 — Statistics Question with Solution

From: AIEEE 2010

Question

For two data sets, each of size 5, the variances are given to be 4 and 5 and the corresponding means are given to be 2 and 4, respectively. The variance of the combined data set is

Choose an option

Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation

Given that,



and

And also given,

and

So,

v

and









and





Variance of combined data set









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About this question

This is a previous-year question from JEE Main 2010, 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.