JEE Main 2026MathematicsStatisticsMediumMCQ

JEE Main 2026 — Statistics Question with Solution

JEE Main 2026 (08 April Shift 2)

Question

A set of four observations has mean and variance . Another set of six observations has mean and variance . Then, the variance of all these observations is equal to:

Choose an option

Show full solutionCorrect option: C
Correct answer
C

Step-by-step explanation

Given for the first set: , , .





Also,

Given for the second set: , , .





Also,

For the combined set of observations:

Total sum

Combined mean

Total sum of squares

Combined variance



Answer:

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About this question

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.