Published concept labs
UPSC CSAT concept study map
Use these published, interactive labs to practise data interpretation, probability, and quantitative reasoning through manipulable examples rather than static worked answers.
How to use this page
Open a lab, vary one input at a time, and write down the relationship you observe. Then return to your textbook or problem set and explain the same relationship without the visual aid.
CSAT data interpretation
Start with the lab authored for the CSAT route, then compare distributions and summary statistics in the broader mathematics library.
Published interactive lab
UPSC CSAT Statistics — Distributions & Data Sets
Practice UPSC CSAT statistics and data interpretation with interactive problems on mean, median, mode, variance, and probability distributions drawn from real data sets.
Concepts: mean, median, mode
Published interactive lab
Statistics Explorer – Data Analysis & Hypothesis Testing
Analyze data with interactive statistics tools: compute descriptive statistics, visualize distributions, run hypothesis tests, and explore correlation and regression with real datasets.
Concepts: statistics, descriptive statistics, hypothesis testing
Published interactive lab
Probability Simulator – Distributions & Random Events
Explore probability with interactive simulations: flip coins, roll dice, sample distributions, and visualize the central limit theorem. Build intuition for random variables and expected value.
Concepts: probability, random variables, probability distributions
Published interactive lab
Statistical Distributions — Interactive Probability
Explore normal, binomial, Poisson, and other statistical distributions by adjusting parameters and computing probabilities, percentiles, and moment statistics interactively.
Concepts: probability density function, cumulative distribution function, normal distribution
Quantitative foundations
Use these visual tools to revisit equations and vector reasoning when a problem calls for a concrete model.
Published interactive lab
Algebra Visualizer – Equations, Functions & Inequalities
Visualize algebra concepts: solve linear and quadratic equations, graph functions, and explore inequalities with an interactive algebra tool designed for students at every level.
Concepts: algebra, linear equations, quadratic equations
Published interactive lab
Linear Algebra Visualizer – Vectors, Matrices & Transforms
Visualize linear algebra: perform matrix operations, apply linear transformations to 2D and 3D vectors, find eigenvectors, and explore vector spaces with an interactive tool.
Concepts: linear algebra, matrices, eigenvectors