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      About Featured

      Statistics Fundamentals

      Describe data, reason with probability, test hypotheses and fit a linear regression. Thirty hours of statistics, ending in practice at explaining it clearly.

      4.9 out of 5 for LUNARTECH, from 100+ reviews10,000+ students

      Partners and press
      Anthropic logo featuring a clean, modern font, symbolizing responsible AI development and innovation supported by LUNARTECH.NVIDIA logo representing industry-leading graphics processing, AI innovation, and cutting-edge computing technologies, integrated by LUNARTECH.Microsoft Azure logo with a sleek, minimalist design, symbolizing powerful cloud computing and AI capabilities integrated by LUNARTECH.White Google logo featuring an abstract swirl design. -| LUNARTECHOpenAI logo with a hexagonal geometric design next to the text 'OpenAI' in a clean sans-serif font. - LUNARTECH
      Anthropic logo featuring a clean, modern font, symbolizing responsible AI development and innovation supported by LUNARTECH.NVIDIA logo representing industry-leading graphics processing, AI innovation, and cutting-edge computing technologies, integrated by LUNARTECH.Microsoft Azure logo with a sleek, minimalist design, symbolizing powerful cloud computing and AI capabilities integrated by LUNARTECH.White Google logo featuring an abstract swirl design. -| LUNARTECHOpenAI logo with a hexagonal geometric design next to the text 'OpenAI' in a clean sans-serif font. - LUNARTECH
      Anthropic logo featuring a clean, modern font, symbolizing responsible AI development and innovation supported by LUNARTECH.NVIDIA logo representing industry-leading graphics processing, AI innovation, and cutting-edge computing technologies, integrated by LUNARTECH.Microsoft Azure logo with a sleek, minimalist design, symbolizing powerful cloud computing and AI capabilities integrated by LUNARTECH.White Google logo featuring an abstract swirl design. -| LUNARTECHOpenAI logo with a hexagonal geometric design next to the text 'OpenAI' in a clean sans-serif font. - LUNARTECH
      Entrepreneur logo showcasing startup and business innovation by LUNARTECH.Forbes logo representing a global leader in business, finance, and entrepreneurship insights, associated with innovation and industry expertise by LUNARTECH.Bloomberg logo symbolizing financial data and market analytics, integrated by LUNARTECH.Insider logo highlighting business and technology trends by LUNARTECH.
      Entrepreneur logo showcasing startup and business innovation by LUNARTECH.Forbes logo representing a global leader in business, finance, and entrepreneurship insights, associated with innovation and industry expertise by LUNARTECH.Bloomberg logo symbolizing financial data and market analytics, integrated by LUNARTECH.Insider logo highlighting business and technology trends by LUNARTECH.
      Entrepreneur logo showcasing startup and business innovation by LUNARTECH.Forbes logo representing a global leader in business, finance, and entrepreneurship insights, associated with innovation and industry expertise by LUNARTECH.Bloomberg logo symbolizing financial data and market analytics, integrated by LUNARTECH.Insider logo highlighting business and technology trends by LUNARTECH.
      Overview

      Statistics decides what data is allowed to claim.

      A thirty-hour course on the statistics behind data analysis: random variables and distributions, the mean, variance and standard deviation, correlation and covariance, then probability, conditional probability and Bayes’ theorem.

      It builds the framework for hypothesis testing, works through the t-test, ANOVA and chi-squared test, and reaches the Central Limit Theorem, the Law of Large Numbers and linear regression. The last module is practice at explaining it.

      30Hours
      6Modules
      4.9Academy rating
      10,000+Students
      What you’ll learn

      Learn all the way down.
      Perform when it matters.

      Data described precisely

      Work with random variables and distributions, and summarize them with the mean, variance, standard deviation, correlation and covariance.

      Probability you can compute

      Use key probability distributions, conditional probability and Bayes’ theorem to reason about uncertain outcomes in data.

      Hypotheses tested properly

      Set up a hypothesis test, read p-values and confidence intervals, weigh Type I and Type II errors, and choose the test that fits.

      Inference and regression

      Use the Central Limit Theorem and the Law of Large Numbers to reason from samples, and fit a linear regression to model relationships in data.

      Course outline

      Six modules, from random variables
      to regression and clear explanations.

      6 modules30 hoursSelf-paced

      Understand random variables and distributions, the measures of central tendency and spread, and how variables relate through correlation and covariance.

      Random variablesDistributionsMean and varianceStandard deviationCorrelationCovariance

      Learn the key probability distributions, conditional probability and Bayes’ theorem, the tools behind predictions and data modeling.

      Probability distributionsConditional probabilityBayes’ theorem

      Build a framework for hypothesis testing: p-values, confidence intervals, Type I and Type II errors, and what each means for a decision.

      Hypothesis testingp-valuesConfidence intervalsType I and II errors

      Work through the common tests, including the t-test, ANOVA and chi-squared test, and learn to select the right one and interpret its result.

      t-testANOVAChi-squared testChoosing a test

      Understand the Central Limit Theorem and the Law of Large Numbers, then use linear regression to make predictions and understand relationships in data.

      Central Limit TheoremLaw of Large NumbersLinear regression

      Practice explaining statistical concepts, work through the questions people are asked about them, and show your reasoning in a data-driven setting.

      Explaining conceptsInterview questionsShowing your reasoning
      Your instructor
      Tatev Aslanyan

      Instructor · LUNARTECH

      Tatev Aslanyan

      Tatev brings industry experience, advanced AI/ML degrees and a reputation as a thought leader in data science to LUNARTECH. She holds Bachelor’s and Master’s degrees in STEM, and her publications in top journals and presentations at international conferences showcase her expertise.

      Trusted by over 10,000 students
      How you get there

      Top-tier roles go to people who can do the work.
      Here’s how you get there.

      Describe, then model chance.

      Summarize data with the mean, variance and correlation, then model uncertainty with probability.

      Test the claim.

      Frame a hypothesis, then choose the t-test, ANOVA or chi-squared test that fits and read what it says.

      Infer, then explain.

      Use the Central Limit Theorem and linear regression to reason from samples, and practice saying why.

      Support

      Support at every stage.
      You won’t be working through this alone.

      Before you start

      Try it first.

      A 3-day free trial opens a selection of the content. Your card is only charged once it ends.

      While you learn

      Mentors within reach.

      Stuck on a concept? Reach out to a mentor whenever you need help.

      While you learn

      One-on-one sessions.

      On the yearly plan, one-on-one sessions give you dedicated support.

      Any time

      A team behind you.

      Write to info@lunartech.ai at any point, from your trial onwards. If your employer is funding you, we’ll set it up with them directly.

      All the way through

      A schedule that fits around your life.

      30 hours in totalYour own paceFrom anywhereAt any hour

      After the last lesson

      Stay in the network.

      Your alumni network stays with you: ongoing support, opportunities and industry insight.

      Career support

      Career support, past the last lesson. Coaching, a sharper resume, real interview preparation and the people to know.

      Career direction

      Tailored coaching helps you decide where to aim and how to get there.

      Course · 1 hourLaunching Your Data Science Career

      Strong portfolio

      Hands-on projects become work you can show, not just claim.

      Course · 60 hoursBuild Your Data Science Portfolio

      Resume and profile

      Personalized refinement, so what you send says what you can actually do.

      Course · 10 hoursPersonal Branding for Professionals

      Interview preparation

      Preparation for the questions that decide it, so you walk in ready.

      Course · 12 hoursMaster Deep Learning Interviews: 50 Q&A

      Network and search

      Connections with industry leaders, and an alumni network that stays with you.

      Course · 40 hoursData Science Career Playbook
      Reviews

      Real stories from the community.

      4.9out of 5, from 100+ reviews
      LUNARTECH Academy has been the most empowering learning experience of my life, giving me a clear, structured path from the absolute basics to building real-world AI systems with confidence.
      Farnia GhanizadehSerajAI Engineer
      I’m really enjoying your linear algebra video. It’s been very valuable.
      Lando A.Associate, AI.Cyber
      I’m going through your mathematics course. It’s amazing. Thank you for putting it together.
      Apratim B., PhDDirector & CTO
      Thank you for the helpful videos. They’ve taught me a lot. I’m excited to continue with your linear algebra course.
      Christian L.Full-stack SWE
      Your page is fantastic. As a bachelor’s student in Data Science now accepted for a master’s at UConn, your work has been a real source of motivation.
      Mahmoud A.Data Scientist
      The programme’s clear, bite-sized content and practical projects dramatically improved my speed from fuzzy idea to MVP and my ability to communicate AI value. I followed the system, and it works.
      Rod MorrissonHead of Data Science & AI
      I really appreciate your teaching style and the way you break down complex topics. It has been incredibly helpful.
      Narine P.Data Analyst
      After years working mainly with R for econometrics, I found your Python machine learning course a refreshing and engaging way to learn Python.
      Raphael J., PhDQuantitative Analyst
      As a Data Science graduate, I want to thank you for the effort you put into making videos to support growing data scientists.
      Stanley M.AI Engineer
      I’ve been following your work since taking your machine learning course, and I’m impressed by your practical approach to applying AI.
      Sai Eshwar G.Data Scientist
      Why choose us

      Built around how you actually learn.

      One standard behind every course, from the first lesson to long after the last.

      Hands-on practice

      Apply every idea to real problems, so it becomes something you have used, not only seen.

      Industry-aligned curriculum

      We keep courses current with the tools, techniques and skills the field asks for.

      Flexible learning

      Study at your own pace, from anywhere, at any hour.

      Certificate of completion

      Finish the course and earn a certificate that shows what you have learned.

      Focus on your success

      Personalized learning plans and support structures carry you through the hard parts.

      Lifetime alumni network

      Stay connected after you finish, with ongoing support, opportunities and industry insight.

      Your certificate

      It doesn’t raise its voice. Neither will you.

      Finish the course and it is issued in your name, under our signature. There is no other way to get one.

      A sample. Only yours carries your name.
      Pricing

      This course comes with the membership.
      So does everything else.

      One membership opens every course, certification, workshop and masterclass in the Academy. Every plan starts with a 3-day free trial.

      3 days free, then $29.97 a month. Your card is only charged once the trial ends.

      Included in every plan

      • Every course in the Academy
      • Every certification course
      • Workshops and masterclasses
      • A certificate of completion
      • A 3-day free trial
      • Learning at your own pace
      • The lifetime alumni network
      • Upgrades at any time
      In practice

      Six modules. Four professions.
      One discipline under every claim a dataset makes.

      Every role uses all six modules. Here’s where each one leans hardest, and where its work ends up.

      1. 01Core concepts
      2. 02Probability
      3. 03Hypothesis tests
      4. 04Statistical tests
      5. 05Inference
      6. 06Interview practice
      • Summarizes data and says what it can support. Explains the numbers to people making the decision.

        Core concepts, Probability, Interview practice

        Data analysis, Business decisions

      • Tests a claim with the right test for the data. Fits a regression and says how far to trust it.

        Hypothesis tests, Statistical tests, Inference

        Data science, Machine learning

      • Works out what a sample can and can’t tell you. Chooses the method and defends the choice.

        Probability, Hypothesis tests, Statistical tests, Inference

        Data analysis, Data science

      • Uses probability to reason about uncertain outputs. Reads regression as the simplest model to beat.

        Probability, Inference

        Machine learning

      • Data analysis
      • Data science
      • Machine learning
      • Business decisions
      Data Analyst

      Summarizes data and says what it can support. Explains the numbers to people making the decision.

      Over 10,000 students trust LUNARTECH

      LUNARTECH gives you the skills
      to learn, build, create and lead.

      Engineers

      Understand systems all the way down. Build the ones others rely on.

      Scientists

      Understand what the data says. Build models that hold up.

      Researchers

      Understand the papers. Build on them, and take the work further.

      The field

      Anyone can use AI.
      Few can engineer it. This is where that starts.

      +340%growth in open roles requiring AI skills

      Data source: Stanford AI Index 2026 & 2024 (Lightcast data), Indeed Hiring Lab, Hacker News “Who’s Hiring”. Aug–Nov 2026 (dashed) is an estimate from the trend.
      Roles and pay

      ~35,000 open roles right now

      Open roles: Built In, Greenhouse, LinkedIn.
      Typical salaries: Glassdoor, Levels.fyi, Payscale, Indeed, Ravio, JobRise, U.S. BLS. Military: 2026 U.S. basic pay, drone officers with aviation incentive pay.
      Updated November 2026.

      FAQ

      Frequently asked questions.

      Need help? These answers cover most of what people ask before they start.

      Yes. Linear regression sits in the inferential statistics module, alongside the Central Limit Theorem and the Law of Large Numbers.

      The t-test, ANOVA and chi-squared test among others, with practice choosing the right one and interpreting the result.

      Practice at explaining statistical concepts and answering questions about them.

      Our 3-day free trial gives you access to a selection of content in the bootcamps, courses and materials, so you can experience the value of our content first-hand. This includes comprehensive learning materials and interactive sessions. You won’t be charged during this period, though we require your credit card details at the start to ensure a seamless transition should you choose to continue.

      Yes, entering your credit card details is a necessary step to begin your free trial. The process is entirely secure, and we ask for it to provide a seamless transition to a paid subscription if you decide to continue beyond the trial. You will only be charged after the trial period ends, with full access to our content based on the plan you choose.

      After your 3-day free trial you gain access to the full breadth of our content, depending on the subscription plan you choose. We offer free trials for our monthly, bi-annual and annual plans, and each plan provides a different scope of access and benefits.

      If your employer has agreed to fund your learning, in part or in full, please contact us at info@lunartech.ai. We’ll work with you and your employer to set up everything needed for your subscription.

      Yes. Our support remains strong both during your free trial and after you subscribe. Reach the team at info@lunartech.ai with any question, whether you’re onboarding, navigating your trial, or need help as a member. Subscribers to the yearly plan also receive dedicated support in one-on-one sessions.

      You can upgrade your plan at any time during your subscription. Downgrading is not available for bi-annual or annual plans, but you can cancel and then choose a new plan that suits you better. For bi-annual and annual plans we also offer payment in instalments; please reach out to learn more.

      The foundation

      Work from one mean to a fitted model.

      Thirty hours that take statistics from random variables to hypothesis tests, regression and clear explanation. Begin with a free lesson, or enroll in the full course.

      6 modules30 hoursSelf-pacedCertificate of completion