Statistics Analysis & Data and Sampling | Free online course | Alison

The Fundamentals of Statistics

Learn key statistical methods including central tendency, and standard deviation in this free online course.

Core Maths Skills
Free Course
With this free online course, you will master the mathematics of sampling, collecting and analyzing data, computing the basic measures of central tendency which include mean, median, and mode, and discover the advantages of using sigma notation. Start the course today and learn how measures of dispersion and the normal bell curve can help you better understand today’s world as viewed through statistical analysis!
  • Duration

    1.5-3 Hours
  • Assessment

  • Certification

  • Publisher






View course modules


Statistics is used frequently to describe characteristics of large amounts of data that we may encounter in our day-to-day lives. In this course you will discover the requirements for a sampling, methods for gathering and organizing data, and types of data classifications. Basic measures of central tendency, such as mean, median, mode, will be discussed. The course also covers sigma notation – a powerful tool that enables the user to condense a large number of numerical quantities into a simplified expression.

You will then learn how measures of dispersion can give you a better understanding of the degree to which numerical data tends to spread about an average value, or not. Investigate how absolute and relative measures of dispersion can be used for the purpose of comparing data. These measures include range, mean absolute deviation, variance, standard deviation, and normal and skewed distributions.

Finally, you will explore relationships between data sets and learn about correlation, scatter plots, the Pearson coefficient of correlation, critical levels of r and determining the equation of a regression line or “best fit.” Start the course today and learn key statistical methods that can help you better understand today’s world.

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Learning Outcomes

Having successfully completed this course you will be able to:

  • Explain requirements for conducting a sampling
  • Describe methods for gathering data
  • Compare processes of classifying data
  • Compute central tendency, including mean, median, mode
  • Define sigma notation expressions in order to write large sums
  • Compute the range for a data set
  • Compute mean absolute deviation
  • Compute variance
  • Compute standard deviation
  • Label mean, standard deviations, and percentages on a normal bell curve
  • Identify variations on skewed graphs
  • Compare relationships between data sets using correlation
  • Analyze scatter plots and then create them based on given data
  • Calculate the Pearson coefficient of correlation
  • Calculate critical levels of r
  • Calculate the equation of the regression line and “best fit”


All Alison courses are free to enrol, study and complete. To successfully complete this Certificate course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment. Once you have completed this Certificate course, you have the option to acquire an official Certificate, which is a great way to share your achievement with the world. Your Alison Certificate is:

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