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Variance Questions

Practice 9 Variance questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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Hard
Practice by Exam:Mathematics(9)

About Variance โ€” practice questions, PYQs & concepts

Variance is a frequently-tested topic on Mathematics. ExamTest.live currently lists 9 Variance questions spanning previous-year papers from 2026 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year โ€” every answer key is free, no sign-up required.

Variance weight in competitive exams

Across our Variance question bank, the largest sources are Mathematics (9). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 0 easy Variance questions are available โ€” build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right โ€” the explanation often surfaces a faster approach you can reuse.

All Variance Questions(1โ€“9 of 9)

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Q1mediummcqMathematicsAIEEE 20062026
0% accuracy
Suppose a population has observations , and another population has observations . If and represent the variances of the two populations, respectively, then is:
Q2mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
The variance of a random variable is given by:
Q3mediummcqMathematicsMathematics Mock Test - 42026
0% accuracy
If the expected value of a random variable is 2 and its variance is 1, then what will be the variance of ?
Q4mediummcqMathematicsAIEEE2026
Let be observations such that and . Then a possible value of among the following is:
Q5mediummcqMathematicsAIEEE-CBSE-ENG-032026
In an experiment with 15 observations on , the following results were available: , . One observation that was 20 was found to be wrong and was replaced by the correct value 30. Then the corrected variance is:
Q6mediummcqMathematicsAIEEE2026
The mean of the numbers is and the variance is . Then which one of the following gives possible values of and ?
Q7mediummcqMathematicsAIEEE 20092026
1: The variance of first even natural numbers is .
2: The sum of first natural numbers is and the sum of squares of first natural numbers is .
Q8mediummcqMathematicsAIEEE 20122026
Let be observations, and let be their arithmetic mean and be their variance.Statement 1: Variance of is .Statement 2: Arithmetic mean of is .
Q9mediummcqMathematicsJEE Main2026
All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of to each of the students. Which of the following statistical measures will not change even after the grace marks were given?

Frequently Asked Questions

How many Variance questions are on ExamTest.live?โ–ผ
We have 9 Variance questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Variance MCQs free?โ–ผ
Yes. All Variance questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Variance questions?โ–ผ
Variance questions are commonly asked in Mathematics. You can filter by exam using the links above.
How do I practice Variance questions effectively?โ–ผ
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.