JEE Main 2023 — Statistics Question with Solution
From: JEE Main 2023 (Online) 25th January Morning Shift
Question
The mean and variance of the marks obtained by the students in a test are 10 and 4 respectively. Later, the marks of one of the students is increased from 8 to 12. If the new mean of the marks is 10.2, then their new variance is equal to :
Choose an option
Show full solutionCorrect option: C
Correct answer
C3.96
Step-by-step explanation
, No. of students (let)
Now if one of is changed from 8 to 12 we have
New mean
and
Now if one of is changed from 8 to 12 we have
New mean
and
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This is a previous-year question from JEE Main 2023, 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.