This online data science specialization is designed to provide you with a solid foundation in probability theory in preparation for the broader study of statistics. The specialization also introduces you to the fundamentals of statistics and statistical theory and will equip you with the skills needed to perform fundamental statistical analysis of a data set in the R programming language.

By completing this specialization, you will be able to:

  • Model statistical experiments with probability distributions
  • Calculate statistical intervals and point estimates with any given data set using R
  • Apply statistical theory to construct, conduct, and interpret tests of hypotheses in various modalities


  • Probability Theory: Foundation for Data Science
  • Statistical Inference for Estimation in Data Science
  • Statistical Inference and Hypothesis Testing in Data Science Applications

This specialization can be taken for academic credit as part of CU Boulder’s Master of Science in Data Science (MS-DS) degree offered on the Coursera platform. The MS-DS is an interdisciplinary degree that brings together faculty from CU Boulder’s departments of Applied Mathematics, Computer Science, Information Science, and others. With performance-based admissions and no application process, the MS-DS is ideal for individuals with a broad range of undergraduate education and/or professional experience in computer science, information science, mathematics, and statistics. Learn more about the MS-DS program.

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