🧠 Introduction In real-world statistics, we often want to know whether our observed data follow a theoretical or expected pattern. For example: To answer such questions, statisticians use the Chi-Squared Goodness of Fit Test, one of the most important non-parametric hypothesis tests. 📘 What is the Chi-Squared Goodness of Fit Test? The Goodness of Fit […]

Mathematics is more than numbers—it is the language of logical reasoning, problem-solving, and STEM excellence. For ambitious students in South Korea, excelling in math opens doors to top Korean universities, international STEM programs, and global competitions. As an IIT Guwahati and Indian Statistical Institute alumnus, published author, and passionate educator with 6+ years of global […]

Mathematics is not just about numbers—it is the language of logic, problem-solving, and innovation. For ambitious students in the Netherlands, excelling in math opens doors to top universities in Europe and globally, as well as international competitions. As an IIT Guwahati and Indian Statistical Institute alumnus, published author, and passionate educator with 6+ years of […]

In probability and statistics, distributions form the backbone of how we understand randomness and uncertainty. After studying discrete distributions, the next important step is learning about continuous distributions. Continuous distributions are crucial in real-world applications: from modeling exam scores, waiting times, and product lifespans to financial returns, risk analysis, and even machine learning algorithms. This […]

In the world of probability and statistics, distributions are at the heart of everything we do. They describe how outcomes are spread out, help us model uncertainty, and form the foundation of decision-making in fields ranging from finance to artificial intelligence. One of the first classes of probability distributions every student encounters is the discrete […]

Learn from Rishabh Kumar — Premium Private Math Mentor for Top Achievers If you’re aiming for a 7 in IB HL, an A in A-Level*, or preparing for STEP, TMUA, MAT, or elite university admissions like Oxbridge, Ivy League, or ETH Zurich, mastering vectors and matrices is non-negotiable. These concepts power not just advanced geometry […]

Mathematics has always been more than formulas and equations—it is a way of thinking, problem-solving, and unlocking new possibilities. Over the past six years, I’ve had the privilege of teaching mathematics to students across the globe, preparing them for some of the most challenging international curricula and standardized exams. Through this journey, I realized one […]