JEE Main 2026 — Statistics Question with Solution
JEE Main 2026 (02 April Shift 2)
Question
The mean and variance of observations are and , respectively. If the sum of the first observations is and the sum of squares of the first observations is , then the value of is:
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Let the -th observation be .
Given mean , we have:
Given variance , we have:
Substituting :
Dividing by :
Since must be an integer, .
Answer:
Given mean , we have:
Given variance , we have:
Substituting :
Dividing by :
Since must be an integer, .
Answer:
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This is a previous-year question from JEE Main 2026, 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.