Introduction to Statistics

Learn the properties behind the basic concepts of probability and statistics while also focusing on applications of statistical knowledge. You will discover how statistics and probability work together plus learn how to collect, summarize, and interpret data.

What you’ll learn

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Introduction to Statistics

$79

Plus membership

3 Credits

All courses include:

eTextbooks

2 to 3-day turnaround for grading

Multiple chances to improve your grade

On-demand tutoring & writing center

Student support 7 days a week

$79

Plus membership

3 Credits

All courses include:

eTextbooks

2 to 3-day turnaround for grading

Multiple chances to improve your grade

On-demand tutoring & writing center

Student support 7 days a week

Introduction to Statistics

$79

Plus membership

3 Credits

About This Course

|
ACE Approved 2024

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.

What You'll Learn

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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Course Details

MAT202

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Introduction to Statistics

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.

Prerequisites

There are no prerequisites for this course.

Topic Subtopics
Foundations of Statistical Analysis
  • Overview of Statistics
  • Sampling Methods
  • Types of Study Designs
Descriptive Statistics
  • Visualizing Data: Tabular & Graphical Representation
  • Measures of the Center & Spread of the Data
Probability
  • Introduction to Probability
  • Probability of Events
  • Conditional Probability
Random Variables
  • Discrete Random Variables
  • Continuous Random Variables
  • Normal Distribution
Statistical Estimation
  • Sampling Distribution
  • Confidence Interval
Hypothesis Testing
  • Hypothesis Testing for one sample
  • Hypothesis Testing for two samples
Bivariate Relationships
  • Chi Square Distribution
  • Correlation
  • Linear regression
Analysis of Variance
  • One Way ANOVA

Your score provides a percentage score and letter grade for each course. A passing percentage is 70% or higher.

Assignments for this course include:

  • 4 Graded Reviews
  • 4 Graded Quizzes
  • 4 Graded Exams
  • 1 Graded Final

All course readings can be found within the course:
https://openstax.org/details/books/introductory-statistics-2e

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