# MATH51 - Applied Statistics for Calibration Technicians

This course is the second of a three part series of courses covering the applied math and statistics body of knowledge for the ASQ Certified Calibration Technician exam, although this course does go a little further into the topic than is covered in the exam.

Although probability and statistics work hand in hand, they are actually two different topics. Statistics refers to measures of sets of numbers, and probability involves expected outcomes. Only when a given statistic can be related to an expected outcome does it have any meaning.

After a short introduction to summation and product notation, this course then is divided into two major sections, one on statistics, and one on probability theory. There is some optional material provided as background as well.

• Introduction
• Summation Notation
• Introduction to Statistics
• Statistic
• Measures of Central Tendency
• Mean
• Median
• Geometric Mean
• Harmonic Mean
• RMS Value
• Measures of Dispersion
• Range
• Variance
• Standard Deviation
• Other Statistics
• Skew
• Kurtosis
• Statistics Summary
• Introduction to Probability
• Definition of Probability
• Conditional Probability
• Probability of A and B
• Probability of A or B
• Discrete Probability Functions
• The Binomial Distribution
• The Hypergeometric Distribution
• The Poisson Distribution
• Continuous Distributions
• The Cumulative Distribution Function (CDF)
• The Probability Density Function (PDF)
• Common Probability Density Functions
• The Normal Distribution
• The Rectangular Distribution
• The Triangular Distribution
• The "U-shaped" Distribution
• Percentiles
• Confidence Intervals
• Degrees of Freedom
• Sampling Issues
• Summary

This is the second of a series of three courses covering the Applied Math and Statistics section of the ASQ CCT exam, these courses are:

• MATH50 - Applied Math for Calibration Technicians
• MATH51 - Applied Statistics for Calibration Technicians
• CLP130 - Presentation of Data for Calibration Technicians

This course covers some of the ASQ CCT exam body of knowledge and is worth 0.2 Recertification Units (RU) towards ASQ CCT recertification.

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