JEE Main 2015MathematicsStatisticsEasyMCQ

JEE Main 2015 — Statistics Question with Solution

JEE Main 2015 (04 Apr)

Question

The mean of a data set comprising of 16 observations is 16. If one of the observation value 16 is deleted and three new observations valued 3, 4 and 5 are added to the data, then the mean of the resultant data is

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Show full solutionCorrect option: A
Correct answer
A14.0

Step-by-step explanation

Given, ( ∑ i=1 15 x i )+16 16 =16

⇒ ∑i=115xi +16= 256

⇒∑i=115xi=240

Required mean =∑i = 115xi+3+4+518=240+3+4+518

=25218=14

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About this question

This is a previous-year question from JEE Main 2015, 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.