JEE Main 2024MathematicsStatisticsEasyNumerical

JEE Main 2024 — Statistics Question with Solution

JEE Main 2024 (30 Jan Shift 2)

Question

If the variance σ2 of the data xi0156101217fi3232633 is k then the value of k is ______ {where . denotes the greatest integer funciton}

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Show full solutionCorrect answer: 29
Correct answer
29

Step-by-step explanation

Finding the fixi & fixi2 we get, 

Now, from above table we get, ∑fixi=176

Now, finding  x¯=∑fixi∑fi=17622=8

Now, finding variance, we get,

σ2=1N∑fixi-2(x¯)2

⇒σ2=122×2048-(8)2

⇒σ2= 93.090964 

⇒σ2= 29.0909 

⇒σ2= 29.0909=29

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About this question

This is a previous-year question from JEE Main 2024, 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.