JEE Main 2019 — Statistics Question with Solution
From: JEE Main 2019 (Online) 9th January Morning Slot
Question
5 students of a class have an average height 150 cm and variance 18 cm2. A new student, whose height is 156 cm, joined them. The variance (in cm2) of the height of these six students is :
Choose an option
Show full solutionCorrect option: C
Correct answer
C20
Step-by-step explanation
Average height of 5 students,
We know,
Variance
given that,
Height of new student, x6 156 cm
New average height
New variance
We know,
Variance
given that,
Height of new student, x6 156 cm
New average height
New variance
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This is a previous-year question from JEE Main 2019, 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.