JEE Main 2022 — Statistics Question with Solution
JEE Main 2022 (28 Jun Shift 2)
Question
Suppose a class has students. The average marks of these students in the mathematics examination is , and their variance is . A student fails in the examination if he/she gets less than marks, then in worst case, the number of students can fail is
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Correct answer
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Step-by-step explanation
Applying the formula of variance we get,
If (taking the least possibility)
then,
Negative Number which is not possible, therefore, no student can fail.
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This is a previous-year question from JEE Main 2022, 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.