Performing an experiment numerous times with no systematic error results in a smooth curve called the Gaussian Distribution.
Concept #1: Understanding the Gaussian Distribution Curve
Example #1: Understanding standard normal distribution
Example #2: Understanding Z-Tables
Example #3: The use of Z-Tables is essential in the determination of probabilities.
Example #4: Suppose there are 100 students in your analytical lecture and at the end of the semester the class average is an 80 with a standard deviation of 5.3, determine the distribution and probability of grades based on your understanding of the Gaussian distribution curve.
Example #5: From EXAMPLE 1, determine the percentage of final grades that would lie below 71.
Practice: From EXAMPLE 1, determine the percentage of final grades that would lie between 88 to 92.