Statistics — JEE Main Previous Year Questions

132 solved PYQs · 2016–2026 · Mathematics

Solved PYQs: 132
Years covered: 2016–2026
Avg / year: ~12
Subject: Mathematics

How many JEE Main questions come from Statistics?

Statistics has contributed 132 questions to Joint Entrance Examination (Main) papers between 2016 and 2026 — an average of about 12 questions a year. That count is measured from EByAi’s bank of 55,289 JEE Main questions, not estimated from a syllabus. Every one of the 132 questions carries a written, step-by-step solution, and each is tagged to Statistics within Mathematics, so you can drill this chapter across every year at once instead of hunting through paper PDFs. Practising a chapter’s full PYQ history is the fastest way to learn the patterns examiners reuse.

Sample Statistics questions from real JEE Main papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 132 Statistics questions (with full written solutions) are available in practice.

Question 1 · JEE Main 2026
A set of four observations has mean 1 and variance 13. Another set of six observations has mean 2 and variance 1 . Then, the variance of all these 10 observations is equal to :
1. (A) $5.96$
2. (B) $6.14$
3. (C) $6.04$
4. (D) $6.24$
Show answerAnswer
$Answer: (C) 6.04$
Question 2 · JEE Main 2026
The mean and variance of n observations are 8 and 16, respectively. If the sum of the first (n − 1) observations is 48 and the sum of squares of the first (n − 1) observations is 496, then the value of n is :
1. (A) $21$
2. (B) $16$
3. (C) $13$
4. (D) $7$
Show answerAnswer
$Answer: (D) 7$
Question 3 · JEE Main 2025
Marks obtained by all the students of class 12 are presented in a frequency distribution with classes of equal width. Let the median of this grouped data be 14 with median class interval 12-18 and median class frequency 12. If the number of students whose marks are less than 12 is 18 , then the total number of students is :
1. (A) $52$
2. (B) $44$
3. (C) $40$
4. (D) $48$
Show answerAnswer
$Answer: (B) 44$
Question 4 · JEE Main 2024
The mean and standard deviation of 20 observations are found to be 10 and 2 , respectively. On rechecking, it was found that an observation by mistake was taken 8 instead of 12. The correct standard deviation is
1. (A) $1.94$
2. (B) $3.96$
3. (C) $3.86$
4. (D) $1.8$
Show answerAnswer
$Answer: (B) 3.96$
Question 5 · JEE Main 2023
The mean and variance of 5 observations are 5 and 8 respectively. If 3 observations are 1, 3, 5, then the sum of cubes of the remaining two observations is :
1. (A) $1792$
2. (B) $1216$
3. (C) $1456$
4. (D) $1072$
Show answerAnswer
$Answer: (D) 1072$

Statistics questions by year

Year	Questions	Share of chapter questions
2026	16
2025	8
2024	15
2023	22
2022	13
2021	20
2020	15
2019	14
2018	4
2017	2
2016	3

Practise these 132 questions with solutions

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FAQs

How many JEE Main questions have been asked from Statistics?

EByAi's bank holds 132 real JEE Main questions from Statistics, asked between 2016 and 2026 — about 12 per year on average. Every count is measured from actual papers, not estimated.

Is Statistics important for JEE Main?

132 questions over 11 papers make Statistics a moderate-weightage chapter in JEE Main Mathematics. The year-wise table above shows exactly how often it appears.

Can I solve Statistics PYQs online for free?

Yes. EByAi lets you solve JEE Main past-year questions in the browser with written solutions — free daily practice, no card needed.

More JEE Main Mathematics chapters

All JEE Main Mathematics chapters →JEE Main overview →