JEE Main 2020MathematicsStatisticsMediumMCQ

JEE Main 2020 — Statistics Question with Solution

JEE Main 2020 (09 Jan Shift 1)

Question

Let the observation xi1≤i≤10 satisfy the equations  ∑i=110xi-5=10, ∑i=110xi-52=40 . If μ and λ are the mean and the variance of the observations, x1-3,x2-3,....,x10-3, then the ordered pair μ,λ is equal to:

Choose an option

Show full solutionCorrect option: A
Correct answer
A3,3

Step-by-step explanation

Mean xi-5=∑xi-510=1 ∴Meanxi-5+2=3
μ=varxi-5=∑xi-5210-∑xi-510=3

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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.