Data Science Statistics

Statistics for Data Science

Build the statistical reasoning needed to analyze data, validate models, and make evidence-based decisions

Statistics for Data Science logo
Quick Course Facts
20
Self-paced, Online, Lessons
20
Videos and/or Narrated Presentations
7.2
Approximate Hours of Course Media
About the Statistics for Data Science Course

Statistics for Data Science is a practical online course designed to help learners understand the statistical ideas behind real Data Science work. You will build the statistical reasoning needed to analyze data, validate models, and make evidence-based decisions with greater confidence.

Build Strong Statistical Foundations For Data Science

  • Learn how statistics supports reliable analysis, modeling, experimentation, and decision-making in Data Science.
  • Practice interpreting data types, distributions, probability, confidence intervals, and hypothesis tests.
  • Apply statistical thinking to A/B testing, regression, classification metrics, validation, and model evaluation.
  • Develop the communication skills needed to explain statistical findings clearly to technical and non-technical audiences.

This Statistics for Data Science course teaches the core concepts needed to reason about data, uncertainty, experiments, and models.

The course begins with the foundations of statistical thinking, including why statistics matters in Data Science and how data types, variables, and measurement scales affect analysis. From there, you will learn how to describe data using center, spread, and shape, then visualize distributions and relationships so patterns become easier to evaluate.

You will study probability basics, conditional probability, Bayes' Rule, random variables, and common distributions, giving you a stronger framework for working with uncertainty. The course also covers sampling, bias, the Central Limit Theorem, point estimates, standard error, and confidence intervals so you can understand how conclusions are drawn from data.

As you progress, you will build the statistical reasoning needed to analyze data, validate models, and make evidence-based decisions through hypothesis testing, p-values, significance, practical importance, and choosing the right statistical test. You will also explore experiment design topics such as power, sample size, error tradeoffs, A/B testing, and controlled experiments.

Later lessons connect statistics directly to applied Data Science practice, including correlation, confounding, causal caution, simple and multiple regression, diagnostics, classification metrics, bias, variance, overfitting, and validation. By the end of Statistics for Data Science, you will be better prepared to evaluate data-driven claims, design stronger analyses, communicate results clearly, and approach Data Science projects with sound statistical judgment.

Course Lessons

Full lesson breakdown

Lessons are organized by topic area and each includes descriptive copy for search visibility and student clarity.

Foundations of Statistical Thinking

2 lessons

This opening lesson explains why statistics is central to data science work. It frames statistics as the discipline that helps data scientists move from raw observations to reliable conclusions, espec…

Lesson 2: Data Types, Variables, and Measurement Scales

17 min
This lesson introduces the basic language used to describe data before any analysis begins: observations, variables, data types, and measurement scales. Learners will distinguish between categorical a…

Exploratory Data Analysis

2 lessons

Lesson 3: Describing Data with Center, Spread, and Shape

20 min
In this lesson, learners build the core descriptive statistics toolkit used during exploratory data analysis. They learn how measures of center, spread, and shape work together to summarize a dataset …

Lesson 4: Visualizing Distributions and Relationships

19 min
In this lesson, Professor Amit Kumar shows how exploratory visualizations reveal the shape, spread, unusual values, and relationships in data before formal modeling begins. Learners practice choosing …

Probability and Uncertainty

3 lessons

Lesson 5: Probability Basics for Data Scientists

22 min
This lesson introduces probability as the language data scientists use to reason about uncertainty. Students learn how to describe outcomes, events, complements, unions, intersections, and conditional…

Lesson 6: Conditional Probability and Bayes' Rule

23 min
This lesson introduces conditional probability as a way to update probabilities when new information is available. Students learn how to read expressions such as P(A | B), distinguish joint, marginal,…

Lesson 7: Random Variables and Common Distributions

24 min
Random variables are the bridge between uncertain real-world outcomes and statistical analysis. In this lesson, students learn how to define random variables, distinguish discrete from continuous case…

Sampling and Estimation

2 lessons

Lesson 8: Sampling, Bias, and the Central Limit Theorem

22 min
This lesson explains how data scientists use samples to learn about larger populations, why sampling design matters, and how bias can quietly distort analysis before any model is built. Learners will …

Lesson 9: Point Estimates, Standard Error, and Confidence Intervals

23 min
In this lesson, Professor Amit Kumar explains how data scientists use sample data to estimate unknown population quantities. You will distinguish parameters from statistics, understand why point estim…

Statistical Inference

3 lessons

Lesson 10: Hypothesis Testing from First Principles

24 min
In this lesson, Professor Amit Kumar builds hypothesis testing from first principles: starting with a clear claim, defining a null model, measuring how surprising the observed data would be under that…

Lesson 11: P-Values, Significance, and Practical Importance

21 min
This lesson explains how p-values help data scientists judge whether observed results are surprising under a null hypothesis, while also showing why statistical significance is not the same as real-wo…

Lesson 12: Choosing the Right Statistical Test

23 min
Choosing the right statistical test starts with a clear research question, the type of outcome variable, the number of groups or measurements being compared, and whether observations are independent o…

Experiment Design

2 lessons

Lesson 13: Power, Sample Size, and Error Tradeoffs

22 min
This lesson explains how statistical power, sample size, significance level, and effect size work together when designing experiments. Learners will see why a test can fail even when a real effect exi…

Lesson 14: A/B Testing and Controlled Experiments

24 min
This lesson explains how controlled experiments help data scientists estimate causal effects rather than merely observe correlations. Students learn how to define a testable hypothesis, choose treatme…

Relationships in Data

1 lesson

Lesson 15: Correlation, Confounding, and Causal Caution

20 min
This lesson explains how data scientists should interpret relationships between variables without jumping too quickly to causal claims. Learners will distinguish correlation from causation, recognize …

Statistical Modeling

2 lessons

Lesson 16: Simple Linear Regression and Interpretation

24 min
Simple linear regression models the relationship between one quantitative predictor and one quantitative response using a straight line. In this lesson, Professor Amit Kumar explains how to fit and in…

Lesson 17: Multiple Regression, Assumptions, and Diagnostics

25 min
Multiple regression extends simple linear regression by modeling how several predictors relate to one numeric outcome at the same time. This lesson focuses on interpreting coefficients correctly, chec…

Statistics for Machine Learning

2 lessons

Lesson 18: Classification Metrics and Statistical Evaluation

21 min
In this lesson, students learn how to evaluate classification models statistically rather than relying on accuracy alone. The lesson connects confusion matrices, threshold-based metrics, ROC and preci…

Lesson 19: Bias, Variance, Overfitting, and Validation

22 min
This lesson explains how bias, variance, overfitting, and validation fit together in practical machine learning. Students learn why a model can fail by being too simple, too sensitive to noise, or eva…

Applied Data Science Practice

1 lesson

Lesson 20: Communicating Statistical Findings Clearly

18 min
In this lesson, Professor Amit Kumar shows how to turn statistical analysis into clear, decision-ready communication. The focus is not on doing more calculations, but on explaining results with the ri…
About Your Instructor
Professor Amit Kumar

Professor Amit Kumar

Professor Amit Kumar guides this AI-built Virversity course with a clear, practical teaching style.