JEE Main 2008MathematicsStatisticsCalculation Of Standard Deviation Variance And Mean Deviation Of Grouped And Ungrouped DatamediumMCQ

JEE Main 2008Statistics Question with Solution

From: AIEEE 2008

Question

The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a and b?

Choose an option

Show full solutionCorrect option: D
Correct answer
Da = 3, b = 4

Step-by-step explanation

Given that,

Mean of a, b, 8, 5, 10 = 6



a + b + 23 = 30

a + b = 7 ....... (1)

Variance









By using (1) we get,





a = 3, 4

then b = 4, 3.

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About this question

This is a previous-year question from JEE Main 2008, 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.