Rishabh 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 clientwork4.shivamdev.in/
📞 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.
