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Introduction to Statistics
MAT202 | 3 Credits
In Introduction to Statistics, you’ll learn the properties behind concepts of probability and statistics while also focusing on applications of statistical knowledge. Discover how statistics and probability work together, plus learn how to collect, summarize, and interpret data.
Professor: Ms. Amita Sane
About This Course
What You’ll Learn
During our Introduction to Statistics online course, study the properties behind the basic concepts of probability and statistics while also focusing on applications of statistical knowledge.
- Understand fundamental statistical terms and concepts, explain different sampling methods, and distinguish between various types of study designs.
- Construct various charts and graphs to display numerical and categorical data effectively, and calculate and interpret measures of center and spread within the context of diverse datasets.
- Understand basic concepts, types, and rules of probability theory, analyze multi-event scenarios to assess outcome likelihood, and calculate conditional probabilities using appropriate formulas and rules.
- Compute probabilities for both discrete and continuous random variables, and demonstrate proficiency in identifying and calculating probabilities using the normal distribution.
- Understand the role of sampling distribution and construct and interpret confidence intervals in estimating population parameters.
- Formulate hypotheses and conduct hypothesis tests for one-sample and two-sample scenarios.
- Perform Chi-Square tests, compute correlation coefficients, and apply linear regression for predictive modeling, drawing meaningful conclusions from the results.
- Apply analysis of variance (ANOVA) to compare means across multiple groups
- Analyze real-world data through case studies and practice sets to develop practical skills in statistical reasoning and problem-solving.
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WANT US TO CHECK?Course Details
This course offers a thorough introduction to the basic ideas of statistics, making it perfect for students who want to understand how data influences decision-making in a variety of domains. It goes over the fundamentals of probability, data sampling concepts, and tabular and graphical data presentation techniques. Students will study statistical estimate methods, random variables, and important ideas in hypothesis testing. Additionally, the course introduces analysis of variance (ANOVA) and explores bivariate correlations. With a balanced focus on theory and application, this course lays the groundwork for advanced studies in statistics and data analysis.
ACE-Recommended
ACE Code:
OOSL-0070
Flexible Schedule
28-day Average Course Completion
Transferred 5,000 times
$5,600,000 Saved on Tuition
Prerequisites
There are no prerequisites for this course.
Course Text
No need to track down a textbook; the readings are built right into this course. We adapted the lessons from the following source:
- Illowsky, Barbara and Dean, Susan. Statistics, 2e. E-book, OpenStax, 2023, https://openstax.org/books/introductory-statistics-2e/pages/1-introduction.
Course Checkpoints
Checkpoint 1: Foundations of Statistical Analysis
- Checkpoint Overview: Foundations of Statistical Analysis
- An Introduction & Basic Concepts
- Levels of Measurement
- Simple Random and Systematic Sampling
- Stratified and Cluster Sampling
- Case Study: Stratified and Cluster Sampling
- Observational Studies and Experiments
- Experimental Design
- Checkpoint 1 Conclusion
- Case Study: Types of Study Designs
- Practice Set 1: Foundations of Statistical Analysis
Checkpoint 2: Descriptive Statistics
- Checkpoint Overview: Descriptive Statistics
- Relative & Cumulative Frequency
- Pie Charts & Bar Graphs
- Histograms
- Stem-Leaf Plots
- Quartiles
- Percentiles
- Box Plots
- Mean for Grouped and Ungrouped Data
- Mode & Median
- Effects of Skewness on Measures of Center
- Range & Standard Deviation
- Case Study: Descriptive Statistics
- Checkpoint 2 Conclusion
- Practice Set 2: Descriptive Statistics
Checkpoint 3: Probability
- Checkpoint Overview: Probability
- Basic Concepts
- Union, Intersection, and Complement of Events
- Independent Events & Mutually Exclusive Events
- Basic Rules of Probability
- Introduction to Conditional Probability
- Contingency Tables
- Tree Diagrams
- Venn Diagrams
- Case Study: Probability
- Checkpoint 3 Conclusion
- Practice Set 3: Probability
Checkpoint 4: Random Variables
- Checkpoint Overview: Random Variables
- Introduction of Random Variables
- Probability Distribution Function
- Expected Value and Standard Deviation
- Binomial Distribution
- Continuous Probability Functions
- Case Study: Random Variable
- Introduction to Normal Distribution
- Standard Normal Distribution (Z Score)
- Empirical Rule
- Using Normal Distribution
- Case Study: Normal Distribution
- Checkpoint 4 Conclusion
- Practice Set: Random Variable
Checkpoint 5: Statistical Estimation
- Checkpoint Overview: Statistical Estimation
- Sampling Distribution
- Central Limit Theorem
- Using the Central Limit Theorem
- Point Estimate & Purpose of Confidence Interval
- A Single Population Mean Using the Normal Distribution
- A Single Population Using the Student t-Distribution
- Confidence Intervals for Population Proportion
- Case Study: Confidence Interval
- Checkpoint 5 Conclusion
- Practice Set 5: Statistical Estimation
Checkpoint 6: Hypothesis Testing
- Checkpoint Overview: Hypothesis Testing
- Introduction to Hypothesis
- Type I and Type II Errors
- Probability Distribution Needed for Hypothesis Testing
- Case Study: Hypothesis Testing
- Two Population Means with an Unknown Standard Deviation
- Two Population Means with a Known Standard Deviation
- Comparing Two Independent Population Proportions
- Matched or Paired Samples
- Checkpoint 6 Conclusion
- Practice Set 6: Hypothesis Testing
Checkpoint 7: Bivariate Relationships
- Checkpoint Overview: Bivariate Relationships
- Chi Square Distribution
- Test for Independence
- Goodness of Fit Test
- Case Study: Chi Square Distribution
- Linear Relationship and Scatterplots
- Correlation Coefficient & R Square
- Significance Test for Correlation
- Linear Regression
- Case Study: Correlation and Regression
- Predictions
- Outliers
- Checkpoint 7 Conclusion
- Practice Set 7: Bivariate Relationship
Checkpoint 8: Analysis of Variance
- Checkpoint Overview: Analysis of Variance
- One Way ANOVA
- The F-Distribution and the F-Ratio
- Facts about the F Distribution
- Case Study: Analysis of Variance
- Test of Two Variances
- Checkpoint 8 Conclusion
- Practice Set 8: Analysis of Variance
Assignments & Grading
Your score provides a percentage score and letter grade for each course. A passing percentage is 70% or higher.
Assignments for this course include:
- 12 Bechmarks
- 1 Cumulative Benchmark
This course has an open book proctored Cumulative Benchmark. Scientific and/or graphing calculators are allowed throughout the course.
What You’ll Need
- A reliable computer or laptop
- Stable internet connection
- Web browser
- Basic computer skills
- Any required course materials
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Course Professor
Ms. Amita Sane
Ms. Sane has a Master’s in Statistics with practical experience in statistical tools and teaching introductory statistics across diverse learning environments.
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Starting Your STEM Career with Statistics
Statistics empowers you to make decisions based on data, not assumptions. Whether you go on to become a data scientist, actuary, software developer, or financial manager, a foundation in statistics will equip you with important analytical skills.
Why it matters:
- Mathematics and statistics jobs are on the rise. Expect 11% new jobs between 2023–2032 — that’s 3x higher than the average.
- Statistics will help you see patterns, test ideas, and make smarter, evidence-based choices.
In-demand careers in this field include:
Data Scientist, Actuary, Statistician, Operations Research Analyst, Quantitative Analyst, Mathematical Modeler, Cryptographer, Financial Analyst, Market Research Analyst, Software Engineer
How this course sets you up for success:
Introduction to Statistics will build data analysis and problem-solving skills that will make you more effective in your STEM career.
Course included in Unlimited Plans
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