Calculus Based Statistics

Calculus Based Statistics Online High School Course

COURSE LENGTH:

Full Year (30 Sessions)

COURSE DESCRIPTION:

Calculus Based Statistics is an advanced level course for those who have successfully completed a semester of differential and integral calculus as a prerequisite. In order to succeed in this course, students must have exceptional mathematical, analytical, and problem-solving skills. This is a full year course, consisting of 30 synchronous sessions. Each session will have approximately 2-3 hours of corresponding asynchronous material. This material will help students develop skills so that synchronous class time can be spent on answering questions and problem solving. The class moves at a fast pace. We will be covering a total of 10 chapters, averaging one chapter every 3 synchronous sessions. Students will take summative assessments on a unit basis, and there will be a formative assessment in each module.


LEARNING OBJECTIVES:

  • Understand the concepts of statistical inference, samples, and populations.

  • Learn various sampling procedures and data collection methods.

  • Calculate measures of location, including the sample mean and median.

  • Explore measures of variability and their significance.

  • Differentiate between discrete and continuous data.

  • Study probability concepts, including sample space and events.

  • Apply probability rules and conditional probability.

  • Comprehend random variables and their probability distributions.

  • Calculate moments and moment-generating functions for random variables.

  • Conduct hypothesis tests, estimate parameters, and use graphical methods for data analysis.


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