Learn Statistics & Probability Online: Free Course with AI Tutor & Certificate
Spanning 23 hours across 73 video lessons, this free online statistics course teaches you how to analyze data and test hypotheses. You'll start with basic concepts and progress to advanced regression analysis. By the end, you'll be ready to apply probability theory to real business problems.
What you'll learn in this Statistics & Probability course
Five concrete outcomes you'll walk away with, each mapped to modules in the curriculum below.
Understand the fundamental concepts of statistics and probability.
Analyze and interpret data using descriptive statistics techniques.
Apply probability theory to solve real-world problems.
Utilize various probability distributions in statistical analysis.
Perform hypothesis testing and make informed decisions based on statistical evidence.
Statistics & Probability course syllabus
01 Introduction to Statistics & Probability
- What is Statistics?
- Types of Data: Qualitative vs Quantitative
- Levels of Measurement: Nominal, Ordinal, Interval, Ratio
- Descriptive vs Inferential Statistics
- Population vs Sample
- Understanding Probability in Statistics
02 Descriptive Statistics
- Measures of Central Tendency: Mean, Median, Mode
- Measures of Dispersion: Range, Variance, Standard Deviation
- Skewness and Kurtosis
- Understanding Z-scores
- Coefficient of Variation
- Calculating Quartiles and Percentiles
- Five-Number Summary
- Interpreting Descriptive Statistics
03 Introduction to Probability
- What is Probability?
- The Multiplication Rule of Probability
- Complementary Events
- Independent and Dependent Events
- Conditional Probability
- Bayes' Theorem
04 Probability Distributions
- What is a Probability Distribution?
- Discrete vs Continuous Distributions
- Uniform Distribution
- Binomial Distribution
- Poisson Distribution
- Normal Distribution
- Exponential Distribution
- Understanding the Central Limit Theorem
05 Random Variables and Expectations in Statistics & Probability
- Random Variables Explained
- Expected Value of a Random Variable
- Variance and Standard Deviation of Random Variables
- Probability Mass Function (PMF)
- Probability Density Function (PDF)
- Cumulative Distribution Function (CDF)
- Moment Generating Functions
- Joint Distributions of Random Variables
06 Sampling Distributions in Statistics & Probability
- Introduction to Sampling Distributions
- Sampling Distribution of the Mean
- Sampling Distribution of the Proportion
- Central Limit Theorem in Action
- Standard Error and its Importance
- Unbiasedness and Consistency
- Applications of Sampling Distributions
07 Hypothesis Testing in Statistics & Probability
- What is Hypothesis Testing?
- Null Hypothesis vs Alternative Hypothesis
- Types of Errors: Type I and Type II
- Significance Level (α) and P-value
- One-Tailed vs Two-Tailed Tests
- Test Statistics: Z-test, T-test
- Steps in Hypothesis Testing
08 t-tests and z-tests in Statistics & Probability
- When to Use t-tests and z-tests
- Z-test for Population Mean
- t-test for Population Mean
- Two-Sample t-test
- Paired t-test
09 Chi-Square Tests in Statistics & Probability
- What is a Chi-Square Test?
- Chi-Square Goodness of Fit Test
- Chi-Square Test for Independence
- Degrees of Freedom in Chi-Square Tests
- Applications of Chi-Square Tests
- Assumptions for Chi-Square Tests
10 Analysis of Variance (ANOVA) in Statistics & Probability
- What is ANOVA?
- One-Way ANOVA
- Two-Way ANOVA
- Assumptions of ANOVA
- F-statistic in ANOVA
- Post-hoc Tests after ANOVA
11 Regression Analysis in Statistics & Probability
- Introduction to Regression Analysis
- Simple Linear Regression
- Multiple Linear Regression
- Assumptions in Linear Regression
- Interpreting Regression Coefficients
- Goodness of Fit: R-squared and Adjusted R-squared
Real-world projects you'll work on
Practice the exact kind of work Statistics & Probability professionals do on the job.
- Data-Driven Decision Making at Tech Giant X: Leveraging Statistics & Probability for Strategic Insights
- Optimizing User Experience at Innovative Startup Y: Applying Descriptive Statistics for Performance Enhancement
- Predictive Analytics for Market Trends at Leading E-commerce Company Z: Harnessing Probability Distributions for Forecasting
- Performance Evaluation and Optimization at Global Tech Innovator A: Utilizing Regression Analysis for Business Growth
Skills you'll gain
Add these to your LinkedIn profile and resume the day you finish.
Who should take this Statistics & Probability course?
And exactly what you need before starting (spoiler: almost nothing).
This course is for
- Students preparing for data science or probability and statistics for engineering roles in India.
- Working professionals looking to add quantitative analysis to their skill set.
- Career switchers aiming for analytics or machine learning positions.
- Anyone seeking a business statistics course to make data-driven decisions.
Prerequisites
- No prior statistical experience is required to begin this course.
- Basic high school math skills are recommended.
- A computer or mobile device with a stable internet connection.
How learning works on LearnTube
The structure of a bootcamp, the price of free.
AI curates your path
Our AI picks the top 1% of video content for each topic and arranges it into a structured, goal-based curriculum. No more tutorial roulette.
Learn, then get quizzed
After every lesson, your AI tutor asks you a question and gives personalised feedback on your answer, so gaps get fixed immediately.
Finish with proof
Complete the course, build the capstone project, and claim a certificate recognised by 900+ hiring partners.
A complete Statistics & Probability course: free, structured and job-focused
Across 23 hours and 73 curated video lessons, this online statistics course covers everything you need to analyze data effectively. You'll begin with the "What is Statistics?" lesson before moving into core modules like Descriptive Statistics, Introduction to Probability, and Probability Distributions. It's designed to help you understand fundamental concepts and apply probability theory to solve actual problems. As you progress, you will tackle advanced topics including Sampling Distributions in Statistics & Probability, Hypothesis Testing in Statistics & Probability, and t-tests and z-tests in Statistics & Probability.
LearnTube pairs top YouTube tutorials with an interactive AI tutor. After every video, you'll take a quick quiz to verify your understanding. You will also complete four hands-on projects to build a portfolio. These include Data-Driven Decision Making at Tech Giant X, Optimizing User Experience at Innovative Startup Y, Predictive Analytics for Market Trends at Leading E-commerce Company Z, and Performance Evaluation and Optimization at Global Tech Innovator A.
The entire learning experience is completely free. You can study at your own pace, mastering complex subjects like Chi-Square Tests in Statistics & Probability, Analysis of Variance (ANOVA) in Statistics & Probability, and Regression Analysis in Statistics & Probability. If you want a credential for your resume, you can choose to add a paid certificate once you finish all 11 modules. This is a great statistics and probability for data science foundation.
Jobs you can target after learning Statistics & Probability
Statistics & Probability is a gateway skill for some of the fastest-growing roles in tech.
Cleans and interprets datasets to help companies make better decisions.
Evaluates business processes and uncovers trends using statistical models.
Assists senior teams with probability distributions and basic predictive modeling.
Typical entry-level salary ranges in India as of August 2026. Actual compensation varies by city, company and experience.
Earn a Statistics & Probability certificate employers recognise
Finish the course and claim a certificate you can share anywhere.
- Learn 100% free: every lesson, quiz and the AI tutor cost nothing
- Claim your certificate when you complete the course (an optional paid add-on)
- Recognised by 900+ hiring partners across India
- One click to share on LinkedIn and add to your resume
Why learners choose LearnTube
Real reviews from Google. You learn free, you get assessed free, and you pay only if you want the certificate.
Though I have 11 years of experience as an HRBP, the course helped me refresh my knowledge and gave me insights into new trends in the market. The modules were clear and easy to understand, and the quizzes were well designed. I have added the certificate to my LinkedIn profile.
I had a lot of doubts while learning, but the AI chatbot answered them in detail with simple summaries. The videos on the platform saved me a lot of time as I didn't have to search YouTube and watch random content.
Just earned my certificate in HR Management from LearnTube.ai! The platform is user-friendly and the assessment was a great way to validate my knowledge. Feeling proud of this accomplishment!
I enrolled in a LearnTube personalized course to get into a Data Analytics role. It helped me learn SQL in depth and gave me hands-on experience with Power BI. I attached the LearnTube certificate to my CV, it added credibility to my profile, and I'm currently in the interview process.
The interface is user-friendly and intuitive, making it easy to navigate the course. I encountered no errors during my time using the platform, which was a refreshing change from other online learning platforms.
Just cleared the Business Analyst assessment and got certified! Loved how the course simplifies big concepts like data-driven decision making into short, practical lessons. The automated quizzes kept me on track the whole time. Perfect boost for my resume!
The certificate gave me a real edge during my B.Tech. By the time I graduated, I had skills that set me apart from my peers, and the certification opened up more job opportunities. It gave me the confidence to stand out during interviews.
I manage many software projects as a General Manager and was looking for a good certification program to stay competitive. After researching many programs, I chose LearnTube and it was much better than I expected. The material is well-organized and practical, and what I liked most is the lifetime access.
Frequently asked questions
Everything learners ask before starting this Statistics & Probability course.
Do I get a free statistics course with certificate?
The learning materials and AI quizzes are completely free. Once you finish all 73 video lessons, you have the option to purchase a verified certificate to share on your resume or professional profile.
How is this different from watching regular YouTube videos?
LearnTube organizes top YouTube videos into a structured curriculum with 11 clear modules. Instead of passively watching, you'll interact with an AI tutor and take quizzes after every lesson to ensure you actually understand the material.
Do I need to install any specific software?
No special software is required to start learning. You can watch the videos and complete the AI quizzes directly in your web browser. Later projects might require basic spreadsheet tools like Excel or Google Sheets.
Do I need prior experience for this statistics and probability course?
No prior experience is necessary. The curriculum starts with a basic "What is Statistics?" lesson and gradually moves into advanced topics like regression analysis. Basic high school math knowledge is the only real requirement.
Is this a good statistics and probability for machine learning foundation?
Yes. Understanding probability distributions, random variables, and hypothesis testing is essential for machine learning. This course provides the exact mathematical foundation you need before moving into advanced predictive modeling or artificial intelligence topics.
How long does it take to finish the statistics classes online?
The course contains about 23 hours of video content. Since the platform is self-paced, you can complete the 11 modules over a few weeks or take your time depending on your personal schedule.
Will I build any real projects?
Yes. You will complete four practical projects during the course. These include analyzing market trends for an e-commerce company and optimizing user experience for a startup, giving you tangible examples for your portfolio.
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