JEE Main 2021 — Statistics Question with Solution
From: JEE Main 2021 (Online) 26th August Evening Shift
Question
Let the mean and variance of four numbers 3, 7, x and y(x > y) be 5 and 10 respectively. Then the mean of four numbers 3 + 2x, 7 + 2y, x + y and x y is ______________.
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Show full solutionCorrect answer: 12
Correct answer
12
Step-by-step explanation
Var(x) =
x + y = 10
(x, y) = (9, 1)
Four numbers are 21, 9, 10, 8
Mean = = 12
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This is a previous-year question from JEE Main 2021, 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.