Welcome to Mathematics Elevate Academy, where luxury meets academic mastery. I’m Rishabh Kumar, alumnus of IIT Guwahati and the Indian Statistical Institute, with over six years of global teaching experience. I specialize in bespoke private tuition for high-performing students worldwide.
One of our most in-demand tracks is Statistics — a discipline essential for everything from Data Science to Economics, Psychology to Finance, and beyond.
Today, I’m proud to present our Complete and Integrated Statistics Syllabus — a structured journey from foundational concepts to high-level statistical modeling and software-based application.
🎓 Who Is This For?
- IB Math AA/AI HL students
- University undergraduates in STEM, Economics, and Social Sciences
- Olympiad aspirants & Data Science beginners
- Working professionals seeking statistical literacy
- Anyone serious about mastering statistics with expert guidance
🧠 What You’ll Learn – Full Syllabus Overview
🔹 1. Descriptive Statistics (Foundation)
- Types of data: Qualitative vs Quantitative
- Frequency distributions & relative frequency
- Measures of central tendency: Mean, Median, Mode, Weighted Mean
- Measures of dispersion: Range, IQR, Variance, Standard Deviation
- Boxplots, histograms, stem-leaf plots, dot plots
- Outlier detection using IQR and Z-score methods
🔹 2. Data Visualization
- Bar charts, Pie charts, Time series plots
- Histograms vs frequency polygons
- Cumulative frequency graphs (Ogives)
- Box and whisker plots
- Scatter plots and trend lines
🔹 3. Probability Theory
- Classical and empirical probability
- Sample spaces, events, Venn diagrams
- Addition and multiplication rules
- Conditional probability and independence
- Bayes’ Theorem
🔹 4. Discrete & Continuous Distributions
- Probability mass functions (PMF)
- Probability density functions (PDF)
- Binomial, Poisson, Geometric distributions
- Uniform and Normal distributions
- Empirical Rule (68-95-99.7)
🔹 5. Normal Distribution & Standardization
- Z-scores and applications
- Percentiles and standard normal tables
- Applications in real-world data (IQ, SAT, etc.)
🔹 6. Inferential Statistics
- Sampling techniques and bias
- Central Limit Theorem
- Confidence Intervals for means, proportions
- Margin of error and reliability
🔹 7. Hypothesis Testing
- Null and Alternative Hypotheses
- One-tailed vs Two-tailed tests
- p-values, significance level, and Type I/II errors
- t-tests, chi-square tests, ANOVA
🔹 8. Correlation & Regression
- Scatter plots and strength of association
- Pearson and Spearman correlation
- Simple linear regression
- Multiple regression (introduction)
🔹 9. Advanced Statistical Methods
- Logistic regression
- Time series analysis: moving averages, seasonal indices
- Forecasting models
- Principal Component Analysis (PCA)
🔹 10. Statistical Software Mastery (Integrated Training)
- Excel / Google Sheets: Descriptive stats, histograms, regression
- R & RStudio: Data frames, ggplot2, modeling, inference
- Python (NumPy, Pandas, Seaborn, SciPy, StatsModels)
- SAS, SPSS, MiniTab: Intro for professionals
- MATLAB & LibreOffice Calc (optional modules)
💼 Why Choose Mathematics Elevate Academy?
- 🌍 World-class one-on-one attention for global students
- 🧑🎓 Mentorship from a top IIT + ISI alumnus
- ✍️ Custom assessments and challenge sets curated per student
- 🧪 Hands-on with real datasets & tools from the start
- 🎓 University-level readiness by high school graduation
🗓 Apply for Private Mentorship
Whether you’re aiming for a top university, preparing for competitive exams, or simply want to master statistics to the level of a data scientist — this is the most structured and elite path you can take.
📧 Book a free consultation or
🌐 Apply directly at www.mathematicselevateacademy.com
📞 Or LinkedIn / Telegram me directly for more information.
🌟 Learn Differently. Learn Deeply. Learn with Rishabh.
Welcome to the future of elite statistical education.
Let’s build something exceptional — one equation at a time.
