JEE Main 2018 — Statistics Question with Solution
From: JEE Main 2018 (Online) 15th April Morning Slot
Question
The mean of set of 30 observations is 75. If each observation is multiplied by a non-zero number and then each of them is decreased by 25, their mean remains the same. Then is equal to :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
As mean is a linear operation, so if each observation is multiplied by and decreased by 25 then the mean becomes 7525.
According to the question,
75 25 = 75 = .
According to the question,
75 25 = 75 = .
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This is a previous-year question from JEE Main 2018, 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.