JEE Main 2020 — Statistics Question with Solution
From: JEE Main 2020 (Online) 5th September Morning Slot
Question
The mean and variance of 7 observations are 8 and 16, respectively. If five observations are 2, 4, 10, 12, 14, then the absolute difference of the remaining two observations is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A2
Step-by-step explanation
x + y = 14 ....(i)
560 = 460 + x2 + y2
x2 + y2 = 100 ......(ii)
Clearly by (i) and (ii),
(x + y)2 - 2xy = 100
(14)2 - 2xy = 100
2xy = 96
xy = 48
Now, |x - y| =
=
= 2
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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.