JEE Main 2026 — Statistics Question with Solution
JEE Main 2026 (24 January Shift 1)
Question
The mean and variance of a data of 10 observations are 10 and 2, respectively. If an observations in this data is replaced by , then the mean and variance become 10.1 and 1.99, respectively. Then equals
Choose an option
Show full solutionCorrect option: D
Correct answer
D20
Step-by-step explanation
, mean , variance .
So and .
After replacing by :
new mean
New variance
So and .
After replacing by :
new mean
New variance
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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.