PrepWiser › Learn › Mathematics › StatisticsStatistics — JEE Main PYQs & Practice Questions Statistics is a Mathematics chapter in the JEE Main syllabus. This page brings together 104 previous-year and practice questions on Statistics, organised into 3 topics: Measures of Central Tendency, Measures of Dispersion and Variance and Standard Deviation. Most questions come with a step-by-step solution you can work through free in PrepWiser.
Download Statistics JEE Main PYQs as a free PDF
Revise this chapter: Revision notes · Formula sheet
Chapter weightage : how many questions each chapter had per shift in the 2024–26 papers.
Measures of Central Tendency Let M denote the median of the following frequency distribution Class | 0 - 4 | 4 - 8 |… Consider the data on x taking the values 0, 2, 4, 8,....., 2ⁿ with frequencies ⁿC₀ , ⁿC₁… If the mean of the frequency distribution Class : | 0-10 | 10-20 | 20-30 | 30-40 |… Let the mean and variance of four numbers 3, 7, x and y(x > y) be 5 and 10 respectively… If the mean of the data Class | 5-10 | 10-15 | 15-20 | 20-25 | 25-30 | 30-35; Frequency… Marks obtains by all the students of class 12 are presented in a freqency distribution… Let the mean and variance of the frequency distribution x:, x₁ = 2, x₂ = 6, x₃ = 8, x₄ =… Consider the following frequency distribution : Class : | 0-6 | 6-12 | 12-18 | 18-24 |… Let the mean of the data x | 1 | 3 | 5 | 7 | 9; Frequency (f) | 4 | 24 | 28 | α | 8 be… The mean and variance of 8 observations are 10 and 13.5, respectively. If 6 of these… The mean of 10 numbers 7 × 8, 10 × 10, 13 × 12, 16 × 14, ....... is ____________. The frequency distribution of the age of students in a class of 40 students is given… Consider the following frequency distribution : Class : | 10-20 | 20-30 | 30-40 | 40-50… The mean age of 25 teachers in a school is 40 years. A teacher retires at the age of 60… Measures of Dispersion If the mean and variance of five observations are 24/5 and 194/25 respectively and the… Let a, b, c ∈ N and a< b< c. Let the mean, the mean deviation about the mean and the… Let S be the set of all values of a₁ for which the mean deviation about the mean of 100… The mean of the numbers a, b, 8, 5, 10 is 6 and their variance is 6.8. If M is the mean… Let the mean and the standard deviation of the observation 2,3,3,4,5,7, a, b be 4 and √2… If the mean and variance of the data 65,68,58,44,48,45,60, α, β, 60 where α> β, are 56… Let the median and the mean deviation about the median of 7 observation… Let in a series of 2n observations, half of them are equal to a and remaining half are… If the mean deviation about the mean of the numbers 1, 2, 3, .........., n, where n is… The mean and standard deviation of 10 observations are 20 and 8 respectively. Later on… If the mean deviation about median for the numbers 3, 5, 7, 2k, 12, 16, 21, 24, arranged… Let α, β ∈ R. Let the mean and the variance of 6 observations -3,4,7,-6, α, β be 2 and… The mean and standard deviation of 15 observations were found to be 12 and 3… Let the mean of 6 observations 1,2,4,5, x and y be 5 and their variance be 10 . Then… Variance and Standard Deviation Suppose a class has 7 students. The average marks of these students in the mathematics… The mean and variance of 20 observations are found to be 10 and 4, respectively. On… Let the mean and variance of 8 numbers -10,-7,-1,x,y,9,2,16 be 7/2 and 293/4… If the mean and the standard deviation of the data 3, 5, 7, a, b are 5 and 2… For the frequency distribution : Variate (x) : x₁ x₂ x₃ .... x₁₅ Frequency (f) : f₁ f₂… Consider the statistics of two sets of observations as follows : Size | Mean | Variance… Let the mean and the variance of 6 observations a, b, 68,44,48,60 be 55 and 194… The mean and variance of a data of 10 observations are 10 and 2 , respectively. If an… The mean and variance of 7 observations are 8 and 16 respectively. If one observation 14… If the variance of 10 natural numbers 1, 1, 1, ....., 1, k is less than 10, then the… If the mean and variance of eight numbers 3, 7, 9, 12, 13, 20, x and y be 10 and 25… Let sets A and B have 5 elements each. Let the mean of the elements in sets A and B be 5… If the mean and the variance of the data Class, 4-8, 8-12, 12-16, 16-20; Frequency, 3… Consider a set of 3n numbers having variance 4. In this set, the mean of first 2n… The mean and standard deviation of 15 observations are found to be 8 and 3 respectively… For 10 observations x₁,x₂,…,x₁₀, if Σᵢ₌₁¹⁰(xᵢ+2)²=180 and Σᵢ₌₁¹⁰(xᵢ-1)²=90, then their… If the mean deviation about the median of the numbers k,2k,3k,….,1000k is 500 , then k²… Let a₁, a₂, … a₁₀ be 10 observations such that Σₖ₌₁¹⁰ aₖ=50 and Σ_(∀ k < j) aₖ ·… A data consists of 20 observations x₁,x₂,…,x₂₀. If Σᵢ₌₁²⁰(xᵢ+5)²=2500 and… The mean and variance of 7 observations are 8 and 16 respectively. If two observations… More Mathematics chapters Frequently asked questions How many Statistics questions are there for JEE Main? PrepWiser has 104 Statistics questions for JEE Main, grouped into 3 topics such as Measures of Central Tendency, Measures of Dispersion and Variance and Standard Deviation.
Are these Statistics questions from previous-year JEE Main papers? Yes — most are genuine previous-year questions from past JEE Main papers, and the rest are practice questions written to match the JEE Main pattern and difficulty.
Where can I see the answers and solutions to these Statistics questions? Open any Statistics question in PrepWiser (it is free) to attempt it; most come with a step-by-step solution.