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JEE Main Statistics questions with solutions

Mean, variance and measures of dispersion. 6 questions from our 2016–2025 JEE Main pattern papers, from the Class 11 Mathematics syllabus. Each has the answer and a full solution.

Also practise: Statistics for NDA

JEE Main 2025

If three of them are 3,5,7 and the other two are x and y, then |x-y| equalsJEE Main 2025 · medium

JEE Main 2024

One group of 20 observations has mean 8 and variance 5; another group of 30 observations has mean 13 and variance 10. The two groups are pooled, and…JEE Main 2024 · hard

JEE Main 2022

The variance of the first 10 natural numbers 1,2,…,10 isJEE Main 2022 · easy

JEE Main 2021

The mean and variance of 10 observations are 12 and 9 respectively. Two observations, 6 and 18, are removed. If σ^2 is the variance of the remaining…JEE Main 2021 · medium

JEE Main 2017

The variance of the first n odd natural numbers 1,3,5,…,(2n-1) is 16. Then n equalsJEE Main 2017 · medium

JEE Main 2016

The mean and standard deviation of 20 observations are 10 and 2 respectively. It is later found that one observation recorded as 8 was actually 12.…JEE Main 2016 · medium

Other Mathematics topics

Area Under Curves 7 Binomial Theorem 12 Complex Numbers 10 Conic Sections 5 Differential Equations 9 Differentiation and Application of Derivatives 19 Indefinite and Definite Integrals 16 Limits 9 Matrices and Determinants 19 Permutations and Combinations 10 Probability 9 Quadratic Equations 9 Sequences and Series 9 Sets, Relations and Functions 10 Straight Lines and Circles 9 Three Dimensional Geometry 14 Trigonometry and Inverse Trigonometric Functions 9 Vector Algebra 8