Statistics & Mathematics for Data Science & Data Analytics
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Statistics & Mathematics for Data Science & Data Analytics
This course is part of Data Science Essentials: Analysis, Statistics, and ML Specialization
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What you'll learn
Master key descriptive statistics concepts, including mean, median, and skewness.
Gain a solid understanding of probability theory, including Bayes' Theorem and the Law of Large Numbers.
Learn hypothesis testing techniques such as t-tests and understand Type I and Type II errors.
Apply regression analysis techniques, including linear and logistic regression, to solve data problems.
Skills you'll gain
- Regression Analysis
- Statistical Inference
- Applied Machine Learning
- Data Analysis
- Probability Distribution
- Data-Driven Decision-Making
- Statistical Analysis
- Statistical Machine Learning
- Statistical Modeling
- Probability & Statistics
- Statistics
- Correlation Analysis
- Statistical Methods
- Predictive Analytics
- Classification And Regression Tree (CART)
- Data Preprocessing
- Data Science
- Bayesian Statistics
- Probability
- Predictive Modeling
Details to know
10 assignments
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There are 9 modules in this course
Updated in May 2025.
This course now features Coursera Coach! A smarter way to learn with interactive, real-time conversations that help you test your knowledge, challenge assumptions, and deepen your understanding as you progress through the course. This course equips you with essential statistical and mathematical tools to become proficient in data science and analytics. You will learn key concepts in descriptive statistics, probability theory, regression analysis, hypothesis testing, and more. By the end of the course, you will have a deep understanding of how statistical methods can be applied to solve real-world data problems and enhance data-driven decision-making. The course begins with an introduction to the basics of descriptive statistics, such as measures of central tendency, dispersion, and the differences between sample and population data. You will then explore distributions, including the normal distribution and Z-scores, and how to apply them in various scenarios. The journey continues with probability theory, where you will tackle concepts like Bayes' theorem, expected value, and the central limit theorem, building a solid foundation for statistical analysis. Next, you will dive into hypothesis testing and learn how to perform tests like t-tests and proportion testing. You will also understand the significance of confidence intervals, the margin of error, and Type I and Type II errors. The regression section teaches you how to predict data values using linear regression, explore correlation coefficients, and analyze model accuracy with metrics such as MSE and RMSE. This course is ideal for aspiring data scientists, analysts, and anyone who wants to use statistics to interpret data. No prior knowledge of statistics is required, though familiarity with basic mathematics will be helpful. The course is structured to be engaging and practical, offering exercises and real-world applications that allow you to practice your skills.
In this module, we will introduce you to the overall course structure, key learning outcomes, and the mindset required to thrive in data science. You'll gain clarity on what to expect and how to approach the course strategically. This foundation sets the tone for an efficient and impactful learning journey.
What's included
3 videos2 readings1 assignment
3 videosβ’Total 11 minutes
- Welcome!β’2 minutes
- What Will You Learn in This Course?β’6 minutes
- How Can You Get the Most Out of It?β’3 minutes
2 readingsβ’Total 20 minutes
- Introduction to the Course 'Statistics & Mathematics for Data Science & Data Analytics'β’10 minutes
- Full Course Resourcesβ’10 minutes
1 assignmentβ’Total 15 minutes
- Let's Get Started - Assessmentβ’15 minutes
In this module, we will explore the foundational tools of descriptive statistics, including mean, median, mode, and measures of spread like range and standard deviation. You'll also practice interpreting real-world data distributions and grasp the significance of statistical moments. This section lays the groundwork for making sense of raw data.
What's included
13 videos1 assignment
13 videosβ’Total 88 minutes
- Introductionβ’3 minutes
- Meanβ’6 minutes
- Medianβ’5 minutes
- Modeβ’4 minutes
- Mean or Median?β’8 minutes
- Skewnessβ’8 minutes
- Practice: Skewnessβ’1 minute
- Solution: Skewnessβ’3 minutes
- Range and IQRβ’10 minutes
- Sample Versus Populationβ’5 minutes
- Variance and Standard Deviationβ’11 minutes
- Impact of Scaling and Shiftingβ’19 minutes
- Statistical Momentsβ’6 minutes
1 assignmentβ’Total 15 minutes
- Descriptive Statistics - Assessmentβ’15 minutes
In this module, we will dive into the concept of distributions, focusing on the normal distribution and Z-scores. Through theory and practice, you'll learn how to interpret standardized scores and recognize distribution patterns in datasets. These insights are key to deeper statistical understanding.
What's included
5 videos1 assignment
5 videosβ’Total 43 minutes
- What Is a Distribution?β’10 minutes
- Normal Distributionβ’9 minutes
- Z-Scoresβ’13 minutes
- Practice: Normal Distributionβ’4 minutes
- Solution: Normal Distributionβ’7 minutes
1 assignmentβ’Total 15 minutes
- Distributions - Assessmentβ’15 minutes
In this module, we will transition from descriptive statistics to probability theory, covering foundational rules, key theorems, and probability distributions. Youβll build strong analytical skills through hands-on practice and explore concepts like expected value and the central limit theorem. Mastery of this section is essential for predictive modeling.
What's included
27 videos1 assignment
27 videosβ’Total 194 minutes
- Introductionβ’1 minute
- Probability Basicsβ’10 minutes
- Calculating Simple Probabilitiesβ’5 minutes
- Practice: Simple Probabilitiesβ’1 minute
- Quick Solution: Simple Probabilitiesβ’1 minute
- Detailed Solution: Simple Probabilitiesβ’6 minutes
- Rule of Additionβ’13 minutes
- Practice: Rule of Additionβ’2 minutes
- Quick Solution: Rule of Additionβ’1 minute
- Detailed Solution: Rule of Additionβ’7 minutes
- Rule of Multiplicationβ’11 minutes
- Practice: Rule of Multiplicationβ’1 minute
- Solution: Rule of Multiplicationβ’3 minutes
- Bayes Theoremβ’10 minutes
- Bayes Theorem - Practical Exampleβ’7 minutes
- Expected Valueβ’11 minutes
- Practice: Expected Valueβ’1 minute
- Solution: Expected Valueβ’3 minutes
- Law of Large Numbersβ’8 minutes
- Central Limit Theorem - Theoryβ’10 minutes
- Central Limit Theorem - Intuitionβ’8 minutes
- Central Limit Theorem - Challengeβ’11 minutes
- Central Limit Theorem - Exerciseβ’2 minutes
- Central Limit Theorem - Solutionβ’14 minutes
- Binomial Distributionβ’16 minutes
- Poisson Distributionβ’17 minutes
- Real-Life Problemsβ’16 minutes
1 assignmentβ’Total 15 minutes
- Probability Theory - Assessmentβ’15 minutes
In this module, we will introduce you to inferential statistics through hypothesis testing. You'll learn how to draw conclusions about populations, calculate sample sizes, and test assumptions using statistical methods. This section empowers you to make data-driven decisions with confidence.
What's included
12 videos1 assignment
12 videosβ’Total 115 minutes
- Introductionβ’1 minute
- What Is a Hypothesis?β’19 minutes
- Significance Level and P-Valueβ’6 minutes
- Type I and Type II Errorsβ’5 minutes
- Confidence Intervals and Margin of Errorβ’15 minutes
- Excursion: Calculating Sample Size and Powerβ’11 minutes
- Performing the Hypothesis Testβ’20 minutes
- Practice: Hypothesis Testβ’1 minute
- Solution: Hypothesis Testβ’6 minutes
- t-test and t-distributionβ’13 minutes
- Proportion Testingβ’10 minutes
- Important p-z Pairsβ’8 minutes
1 assignmentβ’Total 15 minutes
- Hypothesis Testing - Assessmentβ’15 minutes
In this module, we will explore regression analysis as a predictive tool, starting with simple linear regression. You'll learn to quantify relationships between variables and evaluate the quality of your models. Real-world practice exercises will reinforce key statistical techniques.
What's included
14 videos1 assignment
14 videosβ’Total 73 minutes
- Introductionβ’2 minutes
- Linear Regressionβ’11 minutes
- Correlation Coefficientβ’10 minutes
- Practice: Correlationβ’2 minutes
- Solution: Correlationβ’8 minutes
- Practice: Linear Regressionβ’1 minute
- Solution: Linear Regressionβ’7 minutes
- Residual, MSE, and MAEβ’8 minutes
- Practice: MSE and MAEβ’1 minute
- Solution: MSE and MAEβ’3 minutes
- Coefficient of Determinationβ’12 minutes
- Root Mean Square Errorβ’6 minutes
- Practice: RMSEβ’1 minute
- Solution: RMSEβ’2 minutes
1 assignmentβ’Total 15 minutes
- Regressions - Assessmentβ’15 minutes
In this module, we will take a deeper dive into advanced regression techniques and machine learning algorithms. From multiple linear regression to decision trees and random forests, youβll explore predictive modeling in more dynamic environments. You'll also learn to handle common data challenges like overfitting and missing data.
What's included
8 videos1 assignment
8 videosβ’Total 102 minutes
- Multiple Linear Regressionβ’16 minutes
- Overfittingβ’5 minutes
- Polynomial Regressionβ’13 minutes
- Logistic Regressionβ’9 minutes
- Decision Treesβ’21 minutes
- Regression Treesβ’14 minutes
- Random Forestsβ’13 minutes
- Dealing with Missing Dataβ’10 minutes
1 assignmentβ’Total 15 minutes
- Advanced Regression and Machine Learning Algorithms - Assessmentβ’15 minutes
In this module, we will explore ANOVA, a powerful statistical tool for comparing group means. You'll learn to analyze the influence of single and multiple factors, apply F-distribution, and draw valid conclusions from your data. This is a critical step for mastering inferential statistics.
What's included
5 videos1 assignment
5 videosβ’Total 55 minutes
- ANOVA - Basics and Assumptionsβ’6 minutes
- One-Way ANOVAβ’12 minutes
- F-Distributionβ’10 minutes
- Two-Way ANOVA β Sum of Squaresβ’16 minutes
- Two-Way ANOVA β F-Ratio and Conclusionsβ’11 minutes
1 assignmentβ’Total 15 minutes
- ANOVA (Analysis of Variance) - Assessmentβ’15 minutes
In this module, we will conclude the course with a final wrap-up, reflecting on what you've accomplished and the knowledge you've built. Youβll be guided on how to take your learning forward and apply these concepts in real-world data analytics and data science projects.
What's included
1 video1 reading2 assignments
1 videoβ’Total 1 minute
- Wrap Upβ’1 minute
1 readingβ’Total 10 minutes
- Conclusion to the Course 'Statistics & Mathematics for Data Science & Data Analytics'β’10 minutes
2 assignmentsβ’Total 75 minutes
- Full Course Assessmentβ’60 minutes
- Full Course Practice Assessmentβ’15 minutes
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Frequently asked questions
Yes, you can preview the first video and view the syllabus before you enroll. You must purchase the course to access content not included in the preview.
If you decide to enroll in the course before the session start date, you will have access to all of the lecture videos and readings for the course. Youβll be able to submit assignments once the session starts.
Once you enroll and your session begins, you will have access to all videos and other resources, including reading items and the course discussion forum. Youβll be able to view and submit practice assessments, and complete required graded assignments to earn a grade and a Course Certificate.
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