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Previous year question hub

Statistics Previous Year Questions

Practice Statistics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

8Papers
8Years
439Questions
12Topics

Statistics question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Statistics. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 298 67.9%
Easy 105 23.9%
Hard 36 8.2%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 222 50.6%
Numerical Answer Type (NAT) 170 38.7%
MSQ 47 10.7%

Subject weightage

Top subjects by unique question coverage.

Statistics
439 Qs

Most asked topics

Top topics across the included previous year papers.

Probability
60 Qs
Calculus
50 Qs
Matrix Theory:
50 Qs
Estimation
49 Qs
Testing of Hypotheses
41 Qs
Multivariate Analysis
38 Qs
Joint Distributions
36 Qs
Stochastic Processes
35 Qs
Regression Analysis
27 Qs
Convergence of Random Variables
26 Qs
Standard Univariate Distributions
16 Qs
Non-parametric Statistics
11 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Random Variables, Moments and Transformations
48 Qs
Optimal Tests and Likelihood Ratios
34 Qs
Eigenvalues, Diagonalization and Quadratic Forms
30 Qs
Joint, Marginal and Conditional Distributions
29 Qs
Multivariate normal distribution
28 Qs
Linear Regression Models and Fit
27 Qs
Single-variable Calculus and Integration
26 Qs
Vector Spaces and Matrix Operations
20 Qs
Markov Chains and Stationary Distributions
19 Qs
Moment and Maximum-likelihood Estimation
17 Qs
Functions of several real variables
15 Qs
Unbiased Estimation and Variance Bounds
14 Qs
Modes of Convergence
14 Qs
Laws of Large Numbers and Central Limit Theorem
12 Qs
Sufficiency, Completeness and Ancillarity
12 Qs
Probability Axioms and Conditioning
11 Qs
Continuous Probability Distributions
10 Qs
Poisson and Birth-death Processes
10 Qs
Sets, Sequences and Series
9 Qs
Order Statistics and Sampling Distributions
7 Qs
Unbiased and Large-sample Tests
7 Qs
Rank, Sign and Distribution-free Tests
7 Qs
Interval estimation
6 Qs
Brownian Motion
6 Qs
Discrete Probability Distributions
6 Qs
Multiple and Partial Correlation
5 Qs
Wishart Distribution and Hotelling Tests
5 Qs
Empirical Distributions and Goodness of Fit
4 Qs
Probability Inequalities
1 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Statistics (ST) 2026
55 Qs
Statistics (ST) 2025
55 Qs
Statistics (ST) 2024
55 Qs
Statistics (ST) 2023
55 Qs
Statistics (ST) 2022
55 Qs
Statistics (ST) 2021
55 Qs
Statistics (ST) 2020
54 Qs
Statistics (ST) 2019
55 Qs

Browse by topics

Open a focused page built from the same verified paper data.

Probability

Explore previous-paper coverage, trends and focused practice for Probability.

60 questions8 papers8 years

Calculus

Explore previous-paper coverage, trends and focused practice for Calculus.

50 questions8 papers8 years

Matrix Theory:

Explore previous-paper coverage, trends and focused practice for Matrix Theory:.

50 questions8 papers8 years

Estimation

Explore previous-paper coverage, trends and focused practice for Estimation.

49 questions8 papers8 years

Testing of Hypotheses

Explore previous-paper coverage, trends and focused practice for Testing of Hypotheses.

41 questions8 papers8 years

Multivariate Analysis

Explore previous-paper coverage, trends and focused practice for Multivariate Analysis.

38 questions8 papers8 years

Joint Distributions

Explore previous-paper coverage, trends and focused practice for Joint Distributions.

36 questions8 papers8 years

Stochastic Processes

Explore previous-paper coverage, trends and focused practice for Stochastic Processes.

35 questions8 papers8 years

Regression Analysis

Explore previous-paper coverage, trends and focused practice for Regression Analysis.

27 questions8 papers8 years

Convergence of Random Variables

Explore previous-paper coverage, trends and focused practice for Convergence of Random Variables.

26 questions8 papers8 years

Standard Univariate Distributions

Explore previous-paper coverage, trends and focused practice for Standard Univariate Distributions.

16 questions8 papers8 years

Non-parametric Statistics

Explore previous-paper coverage, trends and focused practice for Non-parametric Statistics.

11 questions7 papers7 years

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Statistics (ST) 2026202655View paper
Statistics (ST) 2025202555View paper
Statistics (ST) 2024202455View paper
Statistics (ST) 2023202355View paper
Statistics (ST) 2022202255View paper
Statistics (ST) 2021202155View paper
Statistics (ST) 2020202054View paper
Statistics (ST) 2019201955View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2019 · Statistics · Calculus · Single-variable Calculus and Integration
Statistics (ST) 2019
\[\lim_{n\to\infty}\sum_{k=1}^{n}\frac{n}{n^2+k^2}\] is equal to
Open complete paper
2
2020 · Statistics · Matrix Theory: · Eigenvalues, Diagonalization and Quadratic Forms
Statistics (ST) 2020
Let \(M\) be a \(3 \times 3\) non-zero idempotent matrix and let \(I_3\) denote the \(3 \times 3\) identity matrix. Then which of the following statements is FALSE?
Open complete paper
3
2021 · Statistics · Probability · Probability Inequalities
Statistics (ST) 2021
Let \( X \) be a non-constant positive random variable such that \( E(X) = 9 \). Then which one of the following statements is true?
Open complete paper
4
2022 · Statistics · Matrix Theory: · Eigenvalues, Diagonalization and Quadratic Forms
Statistics (ST) 2022
Let \( M \) be a \( 2 \times 2 \) real matrix such that \( (I + M)^{-1} = I - \alpha M \), where \( \alpha \) is a non-zero real number and \( I \) is the \( 2 \times 2 \) identity matrix. If the trace of the matrix \( M \) is 3, then the value of \( \alpha \) is
Open complete paper
5
2023 · Statistics · Calculus · Single-variable Calculus and Integration
Statistics (ST) 2023
The area of the region bounded by the parabola \( x = -y^2 \) and the line \( y = x + 2 \) equals
Open complete paper
6
2024 · Statistics · Calculus · Single-variable Calculus and Integration
Statistics (ST) 2024
Let \( D \) be the region bounded by the line \( y = x \) and the parabola \( y = 4x - x^2 \). Then \( \iint_D x \, dx \, dy \) equals
Open complete paper